The Dead Christ with Angels

Prompt: Focus on The Dead Christ with Angels and explain the Description.

This work sparked controversy and confusion among viewers due to certain stylistic choices Manet made in representing the story.Most notably, Manet shows the two angels with the body of the dead Christ still visible. The Bible verses referenced describe the angels dressed in white, however Manet's choice was to depict them dressed in bright red and orange colors. Vladimir Gurewich suggests that this decision was most likely meant to heighten the drama of the scene.A stone in the lower right section of the painting is inscribed with the chapter in the Gospel of John that the work is based upon. The direct verse reference is debated due to the style that the lowercase v is written in: it either refers to the Roman numeral V, or as an abbreviation for vers ("verse"). Depending on this interpretation, the painting is a depiction of either John 20:5-12 or John 20:12.Jesus's spear wound is also shown on the wrong side of his body, which Manet realized only after he had submitted the painting to the Salon. Art historians have drawn attention to the shifted wound as a mirrored image of Christ, however historical accounts note that this change was completely unintentional on the artist's part. Therefore, the reading of the wound as a deeper, "mirrored" meaning is merely speculative interpretation.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: Explain the Description of this artwork, The Dead Christ with Angels.

This work sparked controversy and confusion among viewers due to certain stylistic choices Manet made in representing the story.Most notably, Manet shows the two angels with the body of the dead Christ still visible. The Bible verses referenced describe the angels dressed in white, however Manet's choice was to depict them dressed in bright red and orange colors. Vladimir Gurewich suggests that this decision was most likely meant to heighten the drama of the scene.A stone in the lower right section of the painting is inscribed with the chapter in the Gospel of John that the work is based upon. The direct verse reference is debated due to the style that the lowercase v is written in: it either refers to the Roman numeral V, or as an abbreviation for vers ("verse"). Depending on this interpretation, the painting is a depiction of either John 20:5-12 or John 20:12.Jesus's spear wound is also shown on the wrong side of his body, which Manet realized only after he had submitted the painting to the Salon. Art historians have drawn attention to the shifted wound as a mirrored image of Christ, however historical accounts note that this change was completely unintentional on the artist's part. Therefore, the reading of the wound as a deeper, "mirrored" meaning is merely speculative interpretation.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: How does The Dead Christ with Angels explain its Description?

This work sparked controversy and confusion among viewers due to certain stylistic choices Manet made in representing the story.Most notably, Manet shows the two angels with the body of the dead Christ still visible. The Bible verses referenced describe the angels dressed in white, however Manet's choice was to depict them dressed in bright red and orange colors. Vladimir Gurewich suggests that this decision was most likely meant to heighten the drama of the scene.A stone in the lower right section of the painting is inscribed with the chapter in the Gospel of John that the work is based upon. The direct verse reference is debated due to the style that the lowercase v is written in: it either refers to the Roman numeral V, or as an abbreviation for vers ("verse"). Depending on this interpretation, the painting is a depiction of either John 20:5-12 or John 20:12.Jesus's spear wound is also shown on the wrong side of his body, which Manet realized only after he had submitted the painting to the Salon. Art historians have drawn attention to the shifted wound as a mirrored image of Christ, however historical accounts note that this change was completely unintentional on the artist's part. Therefore, the reading of the wound as a deeper, "mirrored" meaning is merely speculative interpretation.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: In The Dead Christ with Angels, how is the Description discussed?

This work sparked controversy and confusion among viewers due to certain stylistic choices Manet made in representing the story.Most notably, Manet shows the two angels with the body of the dead Christ still visible. The Bible verses referenced describe the angels dressed in white, however Manet's choice was to depict them dressed in bright red and orange colors. Vladimir Gurewich suggests that this decision was most likely meant to heighten the drama of the scene.A stone in the lower right section of the painting is inscribed with the chapter in the Gospel of John that the work is based upon. The direct verse reference is debated due to the style that the lowercase v is written in: it either refers to the Roman numeral V, or as an abbreviation for vers ("verse"). Depending on this interpretation, the painting is a depiction of either John 20:5-12 or John 20:12.Jesus's spear wound is also shown on the wrong side of his body, which Manet realized only after he had submitted the painting to the Salon. Art historians have drawn attention to the shifted wound as a mirrored image of Christ, however historical accounts note that this change was completely unintentional on the artist's part. Therefore, the reading of the wound as a deeper, "mirrored" meaning is merely speculative interpretation.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: Focus on The Dead Christ with Angels and explain the Critical reaction.

Critics and many of Manet's supporters were confused by the new artistic direction that he took in the painting. The contradictions within The Dead Christ with Angels are characteristic of Manet's earlier exploration of discordances: the brightly colored angels contrast with the neutral background; the angels are not aligned; and the cloth is variously realistic and abstract.: 271  The technique used to paint Jesus, most notably the blurring seen in his hand and feet, also shows movement typical of Manet's work. Despite the similarities in technique, the scene attracted attention due to its lack of alignment with Manet's previous works.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: Explain the Critical reaction of this artwork, The Dead Christ with Angels.

Critics and many of Manet's supporters were confused by the new artistic direction that he took in the painting. The contradictions within The Dead Christ with Angels are characteristic of Manet's earlier exploration of discordances: the brightly colored angels contrast with the neutral background; the angels are not aligned; and the cloth is variously realistic and abstract.: 271  The technique used to paint Jesus, most notably the blurring seen in his hand and feet, also shows movement typical of Manet's work. Despite the similarities in technique, the scene attracted attention due to its lack of alignment with Manet's previous works.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: How does The Dead Christ with Angels explain its Critical reaction?

Critics and many of Manet's supporters were confused by the new artistic direction that he took in the painting. The contradictions within The Dead Christ with Angels are characteristic of Manet's earlier exploration of discordances: the brightly colored angels contrast with the neutral background; the angels are not aligned; and the cloth is variously realistic and abstract.: 271  The technique used to paint Jesus, most notably the blurring seen in his hand and feet, also shows movement typical of Manet's work. Despite the similarities in technique, the scene attracted attention due to its lack of alignment with Manet's previous works.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: In The Dead Christ with Angels, how is the Critical reaction discussed?

Critics and many of Manet's supporters were confused by the new artistic direction that he took in the painting. The contradictions within The Dead Christ with Angels are characteristic of Manet's earlier exploration of discordances: the brightly colored angels contrast with the neutral background; the angels are not aligned; and the cloth is variously realistic and abstract.: 271  The technique used to paint Jesus, most notably the blurring seen in his hand and feet, also shows movement typical of Manet's work. Despite the similarities in technique, the scene attracted attention due to its lack of alignment with Manet's previous works.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: Focus on The Dead Christ with Angels and explain the Related works.

In 1866 or 1867 Manet produced an etching with aquatint of the painting. Impressions are in many collections, including the Art Institute of Chicago and the Cleveland Museum of Art.The Dead Christ with Angels is often associated with the book Vie de Jésus by Ernest Renan, published in 1863, a year before Manet's painting was first exhibited. In the book, Renan denies Christ's resurrection from the dead, and emphasizes the idea that miracles do not exist. Renan's work is credited as a potential influence for Manet because the inscribed verse, John 20:12, served as the book's main argument in the denial of Christ's resurrection. The painting also shows the angels grieving over death instead of happily announcing a resurrection, which is often used as proof to demonstrate the artistic influence Renan had on Manet.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: Explain the Related works of this artwork, The Dead Christ with Angels.

In 1866 or 1867 Manet produced an etching with aquatint of the painting. Impressions are in many collections, including the Art Institute of Chicago and the Cleveland Museum of Art.The Dead Christ with Angels is often associated with the book Vie de Jésus by Ernest Renan, published in 1863, a year before Manet's painting was first exhibited. In the book, Renan denies Christ's resurrection from the dead, and emphasizes the idea that miracles do not exist. Renan's work is credited as a potential influence for Manet because the inscribed verse, John 20:12, served as the book's main argument in the denial of Christ's resurrection. The painting also shows the angels grieving over death instead of happily announcing a resurrection, which is often used as proof to demonstrate the artistic influence Renan had on Manet.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: How does The Dead Christ with Angels explain its Related works?

In 1866 or 1867 Manet produced an etching with aquatint of the painting. Impressions are in many collections, including the Art Institute of Chicago and the Cleveland Museum of Art.The Dead Christ with Angels is often associated with the book Vie de Jésus by Ernest Renan, published in 1863, a year before Manet's painting was first exhibited. In the book, Renan denies Christ's resurrection from the dead, and emphasizes the idea that miracles do not exist. Renan's work is credited as a potential influence for Manet because the inscribed verse, John 20:12, served as the book's main argument in the denial of Christ's resurrection. The painting also shows the angels grieving over death instead of happily announcing a resurrection, which is often used as proof to demonstrate the artistic influence Renan had on Manet.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Dead Christ with Angels

Prompt: In The Dead Christ with Angels, how is the Related works discussed?

In 1866 or 1867 Manet produced an etching with aquatint of the painting. Impressions are in many collections, including the Art Institute of Chicago and the Cleveland Museum of Art.The Dead Christ with Angels is often associated with the book Vie de Jésus by Ernest Renan, published in 1863, a year before Manet's painting was first exhibited. In the book, Renan denies Christ's resurrection from the dead, and emphasizes the idea that miracles do not exist. Renan's work is credited as a potential influence for Manet because the inscribed verse, John 20:12, served as the book's main argument in the denial of Christ's resurrection. The painting also shows the angels grieving over death instead of happily announcing a resurrection, which is often used as proof to demonstrate the artistic influence Renan had on Manet.

''The Dead Christ with Angels'' (1866-1867), copperplate etching and aquatint. Art Institute of Chicago.

Category:Paintings in the Metropolitan Museum of Art

File:Manet - Dead Christ with Angels, 1984.1114.jpg

''The Dead Christ with Angels'' (1866–1867), etching and [[aquatint

File:Edouard Manet - The Dead Christ with Angels - 1961.151 - Cleveland Museum of Art.tif


The Boy in the Red Vest

Prompt: Focus on The Boy in the Red Vest and explain the abstract.

The Boy in the Red Vest (Le Garçon au gilet rouge), also known as The Boy in the Red Waistcoat, is an oil painting (Venturi 681) by Paul Cézanne, painted in 1888-1890. It is a fine example of Cézanne's skilled, nuanced, and innovative mature work after 1880.

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: Explain the abstract of this artwork, The Boy in the Red Vest.

The Boy in the Red Vest (Le Garçon au gilet rouge), also known as The Boy in the Red Waistcoat, is an oil painting (Venturi 681) by Paul Cézanne, painted in 1888-1890. It is a fine example of Cézanne's skilled, nuanced, and innovative mature work after 1880.

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: How does The Boy in the Red Vest explain its abstract?

The Boy in the Red Vest (Le Garçon au gilet rouge), also known as The Boy in the Red Waistcoat, is an oil painting (Venturi 681) by Paul Cézanne, painted in 1888-1890. It is a fine example of Cézanne's skilled, nuanced, and innovative mature work after 1880.

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: In The Boy in the Red Vest, how is the abstract discussed?

The Boy in the Red Vest (Le Garçon au gilet rouge), also known as The Boy in the Red Waistcoat, is an oil painting (Venturi 681) by Paul Cézanne, painted in 1888-1890. It is a fine example of Cézanne's skilled, nuanced, and innovative mature work after 1880.

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: Focus on The Boy in the Red Vest and explain the History.

Cézanne painted four oil portraits of this Italian boy in the red vest (in British English, a waistcoat), all in different poses, which allowed him to study the relationship between the figure and space. The most famous of the four, and the one commonly referred to by this title, is the one which depicts the boy in a melancholic seated pose with his elbow on a table and his head cradled in his hand. It is currently held in Zürich, Switzerland. The other three portraits, of different poses, are in museums in the US.The Foundation E.G. Bührle, which currently owns the work, notes the painting's picturesqueness, and "a perfect balance here of high compositional intelligence and spontaneous painterly intuition." In 1895, art critic Gustave Geffroy said it could stand comparison with the finest figure paintings of the Old Masters.The colors of the painting are rich, dense, and festive. The composition is organized with three main diagonals: the angle of the boy's tilted back and head, the angle of the deep-green curtain behind the boy, and the long angle of the seat and table rising from the lower left. These three angles are countered by the angles of the boy's thighs and arms, creating a tightly articulated structure of intersecting diagonals.This painting was acquired from Cézanne by art dealer Ambroise Vollard, probably in 1895, and successively acquired by art collectors Marcell Nemes in 1909 and Gottlieb Reber in 1913. Art collector and patron Emil Georg Bührle purchased it from Reber in 1948. Following Bührle's death in 1956, his heirs donated the painting to the Foundation E.G. Bührle in 1960.In February 2008, the painting was stolen from the Foundation E.G. Bührle in Zurich.It was the museum's most valuable painting and was valued at $91 million. It was recovered in Serbia in April 2012.

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: Explain the History of this artwork, The Boy in the Red Vest.

Cézanne painted four oil portraits of this Italian boy in the red vest (in British English, a waistcoat), all in different poses, which allowed him to study the relationship between the figure and space. The most famous of the four, and the one commonly referred to by this title, is the one which depicts the boy in a melancholic seated pose with his elbow on a table and his head cradled in his hand. It is currently held in Zürich, Switzerland. The other three portraits, of different poses, are in museums in the US.The Foundation E.G. Bührle, which currently owns the work, notes the painting's picturesqueness, and "a perfect balance here of high compositional intelligence and spontaneous painterly intuition." In 1895, art critic Gustave Geffroy said it could stand comparison with the finest figure paintings of the Old Masters.The colors of the painting are rich, dense, and festive. The composition is organized with three main diagonals: the angle of the boy's tilted back and head, the angle of the deep-green curtain behind the boy, and the long angle of the seat and table rising from the lower left. These three angles are countered by the angles of the boy's thighs and arms, creating a tightly articulated structure of intersecting diagonals.This painting was acquired from Cézanne by art dealer Ambroise Vollard, probably in 1895, and successively acquired by art collectors Marcell Nemes in 1909 and Gottlieb Reber in 1913. Art collector and patron Emil Georg Bührle purchased it from Reber in 1948. Following Bührle's death in 1956, his heirs donated the painting to the Foundation E.G. Bührle in 1960.In February 2008, the painting was stolen from the Foundation E.G. Bührle in Zurich.It was the museum's most valuable painting and was valued at $91 million. It was recovered in Serbia in April 2012.

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: How does The Boy in the Red Vest explain its History?

Cézanne painted four oil portraits of this Italian boy in the red vest (in British English, a waistcoat), all in different poses, which allowed him to study the relationship between the figure and space. The most famous of the four, and the one commonly referred to by this title, is the one which depicts the boy in a melancholic seated pose with his elbow on a table and his head cradled in his hand. It is currently held in Zürich, Switzerland. The other three portraits, of different poses, are in museums in the US.The Foundation E.G. Bührle, which currently owns the work, notes the painting's picturesqueness, and "a perfect balance here of high compositional intelligence and spontaneous painterly intuition." In 1895, art critic Gustave Geffroy said it could stand comparison with the finest figure paintings of the Old Masters.The colors of the painting are rich, dense, and festive. The composition is organized with three main diagonals: the angle of the boy's tilted back and head, the angle of the deep-green curtain behind the boy, and the long angle of the seat and table rising from the lower left. These three angles are countered by the angles of the boy's thighs and arms, creating a tightly articulated structure of intersecting diagonals.This painting was acquired from Cézanne by art dealer Ambroise Vollard, probably in 1895, and successively acquired by art collectors Marcell Nemes in 1909 and Gottlieb Reber in 1913. Art collector and patron Emil Georg Bührle purchased it from Reber in 1948. Following Bührle's death in 1956, his heirs donated the painting to the Foundation E.G. Bührle in 1960.In February 2008, the painting was stolen from the Foundation E.G. Bührle in Zurich.It was the museum's most valuable painting and was valued at $91 million. It was recovered in Serbia in April 2012.

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: In The Boy in the Red Vest, how is the History discussed?

Cézanne painted four oil portraits of this Italian boy in the red vest (in British English, a waistcoat), all in different poses, which allowed him to study the relationship between the figure and space. The most famous of the four, and the one commonly referred to by this title, is the one which depicts the boy in a melancholic seated pose with his elbow on a table and his head cradled in his hand. It is currently held in Zürich, Switzerland. The other three portraits, of different poses, are in museums in the US.The Foundation E.G. Bührle, which currently owns the work, notes the painting's picturesqueness, and "a perfect balance here of high compositional intelligence and spontaneous painterly intuition." In 1895, art critic Gustave Geffroy said it could stand comparison with the finest figure paintings of the Old Masters.The colors of the painting are rich, dense, and festive. The composition is organized with three main diagonals: the angle of the boy's tilted back and head, the angle of the deep-green curtain behind the boy, and the long angle of the seat and table rising from the lower left. These three angles are countered by the angles of the boy's thighs and arms, creating a tightly articulated structure of intersecting diagonals.This painting was acquired from Cézanne by art dealer Ambroise Vollard, probably in 1895, and successively acquired by art collectors Marcell Nemes in 1909 and Gottlieb Reber in 1913. Art collector and patron Emil Georg Bührle purchased it from Reber in 1948. Following Bührle's death in 1956, his heirs donated the painting to the Foundation E.G. Bührle in 1960.In February 2008, the painting was stolen from the Foundation E.G. Bührle in Zurich.It was the museum's most valuable painting and was valued at $91 million. It was recovered in Serbia in April 2012.

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: Focus on The Boy in the Red Vest and explain the Other three paintings.

Other oil paintings in the series, painted  by the artist under the same title during the same period, are:

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: Explain the Other three paintings of this artwork, The Boy in the Red Vest.

Other oil paintings in the series, painted  by the artist under the same title during the same period, are:

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: How does The Boy in the Red Vest explain its Other three paintings?

Other oil paintings in the series, painted  by the artist under the same title during the same period, are:

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Boy in the Red Vest

Prompt: In The Boy in the Red Vest, how is the Other three paintings discussed?

Other oil paintings in the series, painted  by the artist under the same title during the same period, are:

Category:Cultural depictions of Italian people

Art theft#Emile BC3.BChrle Foundation in Zurich .282008.29

Category:Paintings in the Foundation E. G. Bührle Collection


The Story of Maths

Prompt: Focus on The Story of Maths and explain the abstract.

The Story of Maths is a four-part British television series outlining aspects of the history of mathematics. It was a co-production between the Open University and the BBC and aired in October 2008 on BBC Four. The material was written and presented by University of Oxford professor Marcus du Sautoy. The consultants were the Open University academics Robin Wilson, professor Jeremy Gray and June Barrow-Green. Kim Duke is credited as series producer.The series comprised four programmes respectively titled: The Language of the Universe; The Genius of the East; The Frontiers of Space; and To Infinity and Beyond. Du Sautoy documents the development of mathematics covering subjects such as the invention of zero and the unproven Riemann hypothesis, a 150-year-old problem for whose solution the Clay Mathematics Institute has offered a $1,000,000 prize. He escorts viewers through the subject's history and geography. He examines the development of key mathematical ideas and shows how mathematical ideas underpin the world's science, technology, and culture.He starts his journey in ancient Egypt and finishes it by looking at current mathematics. Between he travels through Babylon, Greece, India, China, and the medieval Middle East. He also looks at mathematics in Europe and then in America and takes the viewers inside the lives of many of the greatest mathematicians.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Explain the abstract of this artwork, The Story of Maths.

The Story of Maths is a four-part British television series outlining aspects of the history of mathematics. It was a co-production between the Open University and the BBC and aired in October 2008 on BBC Four. The material was written and presented by University of Oxford professor Marcus du Sautoy. The consultants were the Open University academics Robin Wilson, professor Jeremy Gray and June Barrow-Green. Kim Duke is credited as series producer.The series comprised four programmes respectively titled: The Language of the Universe; The Genius of the East; The Frontiers of Space; and To Infinity and Beyond. Du Sautoy documents the development of mathematics covering subjects such as the invention of zero and the unproven Riemann hypothesis, a 150-year-old problem for whose solution the Clay Mathematics Institute has offered a $1,000,000 prize. He escorts viewers through the subject's history and geography. He examines the development of key mathematical ideas and shows how mathematical ideas underpin the world's science, technology, and culture.He starts his journey in ancient Egypt and finishes it by looking at current mathematics. Between he travels through Babylon, Greece, India, China, and the medieval Middle East. He also looks at mathematics in Europe and then in America and takes the viewers inside the lives of many of the greatest mathematicians.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: How does The Story of Maths explain its abstract?

The Story of Maths is a four-part British television series outlining aspects of the history of mathematics. It was a co-production between the Open University and the BBC and aired in October 2008 on BBC Four. The material was written and presented by University of Oxford professor Marcus du Sautoy. The consultants were the Open University academics Robin Wilson, professor Jeremy Gray and June Barrow-Green. Kim Duke is credited as series producer.The series comprised four programmes respectively titled: The Language of the Universe; The Genius of the East; The Frontiers of Space; and To Infinity and Beyond. Du Sautoy documents the development of mathematics covering subjects such as the invention of zero and the unproven Riemann hypothesis, a 150-year-old problem for whose solution the Clay Mathematics Institute has offered a $1,000,000 prize. He escorts viewers through the subject's history and geography. He examines the development of key mathematical ideas and shows how mathematical ideas underpin the world's science, technology, and culture.He starts his journey in ancient Egypt and finishes it by looking at current mathematics. Between he travels through Babylon, Greece, India, China, and the medieval Middle East. He also looks at mathematics in Europe and then in America and takes the viewers inside the lives of many of the greatest mathematicians.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In The Story of Maths, how is the abstract discussed?

The Story of Maths is a four-part British television series outlining aspects of the history of mathematics. It was a co-production between the Open University and the BBC and aired in October 2008 on BBC Four. The material was written and presented by University of Oxford professor Marcus du Sautoy. The consultants were the Open University academics Robin Wilson, professor Jeremy Gray and June Barrow-Green. Kim Duke is credited as series producer.The series comprised four programmes respectively titled: The Language of the Universe; The Genius of the East; The Frontiers of Space; and To Infinity and Beyond. Du Sautoy documents the development of mathematics covering subjects such as the invention of zero and the unproven Riemann hypothesis, a 150-year-old problem for whose solution the Clay Mathematics Institute has offered a $1,000,000 prize. He escorts viewers through the subject's history and geography. He examines the development of key mathematical ideas and shows how mathematical ideas underpin the world's science, technology, and culture.He starts his journey in ancient Egypt and finishes it by looking at current mathematics. Between he travels through Babylon, Greece, India, China, and the medieval Middle East. He also looks at mathematics in Europe and then in America and takes the viewers inside the lives of many of the greatest mathematicians.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Focus on The Story of Maths and explain the "The Language of the Universe".

In this opening programme Marcus du Sautoy looks at how important and fundamental mathematics is to our lives before looking at the mathematics of ancient Egypt, Mesopotamia, and Greece.Du Sautoy commences in Egypt where recording the patterns of the seasons and in particular the flooding of the Nile was essential to their economy. There was a need to solve practical problems such as land area for taxation purposes. Du Sautoy discovers the use of a decimal system based on the fingers on the hands, the unusual method for multiplication and division. He examines the Rhind Papyrus, the Moscow Papyrus and explores their understanding of binary numbers, fractions and solid shapes.He then travels to Babylon and discovered that the way we tell the time today is based on the Babylonian 60 base number system. So because of the Babylonians we have 60 seconds in a minute, and 60 minutes in an hour. He then shows how the Babylonians used quadratic equations to measure their land. He deals briefly with Plimpton 322.In Greece, the home of ancient Greek mathematics, he looks at the contributions of some of its greatest and well known mathematicians including Pythagoras, Plato, Euclid, and Archimedes, who are some of the people who are credited with beginning the transformation of mathematics from a tool for counting into the analytical subject we know today. A controversial figure, Pythagoras' teachings were considered suspect and his followers seen as social outcasts and a little bit strange and not in the norm. There is a legend going around that one of his followers, Hippasus, was drowned when he announced his discovery of irrational numbers. As well as his work on the properties of right angled triangles, Pythagoras developed another important theory after observing musical instruments. He discovered that the intervals between harmonious musical notes are always in whole number intervals. It deals briefly with Hypatia of Alexandria.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Explain the "The Language of the Universe" of this artwork, The Story of Maths.

In this opening programme Marcus du Sautoy looks at how important and fundamental mathematics is to our lives before looking at the mathematics of ancient Egypt, Mesopotamia, and Greece.Du Sautoy commences in Egypt where recording the patterns of the seasons and in particular the flooding of the Nile was essential to their economy. There was a need to solve practical problems such as land area for taxation purposes. Du Sautoy discovers the use of a decimal system based on the fingers on the hands, the unusual method for multiplication and division. He examines the Rhind Papyrus, the Moscow Papyrus and explores their understanding of binary numbers, fractions and solid shapes.He then travels to Babylon and discovered that the way we tell the time today is based on the Babylonian 60 base number system. So because of the Babylonians we have 60 seconds in a minute, and 60 minutes in an hour. He then shows how the Babylonians used quadratic equations to measure their land. He deals briefly with Plimpton 322.In Greece, the home of ancient Greek mathematics, he looks at the contributions of some of its greatest and well known mathematicians including Pythagoras, Plato, Euclid, and Archimedes, who are some of the people who are credited with beginning the transformation of mathematics from a tool for counting into the analytical subject we know today. A controversial figure, Pythagoras' teachings were considered suspect and his followers seen as social outcasts and a little bit strange and not in the norm. There is a legend going around that one of his followers, Hippasus, was drowned when he announced his discovery of irrational numbers. As well as his work on the properties of right angled triangles, Pythagoras developed another important theory after observing musical instruments. He discovered that the intervals between harmonious musical notes are always in whole number intervals. It deals briefly with Hypatia of Alexandria.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: How does The Story of Maths explain its "The Language of the Universe"?

In this opening programme Marcus du Sautoy looks at how important and fundamental mathematics is to our lives before looking at the mathematics of ancient Egypt, Mesopotamia, and Greece.Du Sautoy commences in Egypt where recording the patterns of the seasons and in particular the flooding of the Nile was essential to their economy. There was a need to solve practical problems such as land area for taxation purposes. Du Sautoy discovers the use of a decimal system based on the fingers on the hands, the unusual method for multiplication and division. He examines the Rhind Papyrus, the Moscow Papyrus and explores their understanding of binary numbers, fractions and solid shapes.He then travels to Babylon and discovered that the way we tell the time today is based on the Babylonian 60 base number system. So because of the Babylonians we have 60 seconds in a minute, and 60 minutes in an hour. He then shows how the Babylonians used quadratic equations to measure their land. He deals briefly with Plimpton 322.In Greece, the home of ancient Greek mathematics, he looks at the contributions of some of its greatest and well known mathematicians including Pythagoras, Plato, Euclid, and Archimedes, who are some of the people who are credited with beginning the transformation of mathematics from a tool for counting into the analytical subject we know today. A controversial figure, Pythagoras' teachings were considered suspect and his followers seen as social outcasts and a little bit strange and not in the norm. There is a legend going around that one of his followers, Hippasus, was drowned when he announced his discovery of irrational numbers. As well as his work on the properties of right angled triangles, Pythagoras developed another important theory after observing musical instruments. He discovered that the intervals between harmonious musical notes are always in whole number intervals. It deals briefly with Hypatia of Alexandria.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In The Story of Maths, how is the "The Language of the Universe" discussed?

In this opening programme Marcus du Sautoy looks at how important and fundamental mathematics is to our lives before looking at the mathematics of ancient Egypt, Mesopotamia, and Greece.Du Sautoy commences in Egypt where recording the patterns of the seasons and in particular the flooding of the Nile was essential to their economy. There was a need to solve practical problems such as land area for taxation purposes. Du Sautoy discovers the use of a decimal system based on the fingers on the hands, the unusual method for multiplication and division. He examines the Rhind Papyrus, the Moscow Papyrus and explores their understanding of binary numbers, fractions and solid shapes.He then travels to Babylon and discovered that the way we tell the time today is based on the Babylonian 60 base number system. So because of the Babylonians we have 60 seconds in a minute, and 60 minutes in an hour. He then shows how the Babylonians used quadratic equations to measure their land. He deals briefly with Plimpton 322.In Greece, the home of ancient Greek mathematics, he looks at the contributions of some of its greatest and well known mathematicians including Pythagoras, Plato, Euclid, and Archimedes, who are some of the people who are credited with beginning the transformation of mathematics from a tool for counting into the analytical subject we know today. A controversial figure, Pythagoras' teachings were considered suspect and his followers seen as social outcasts and a little bit strange and not in the norm. There is a legend going around that one of his followers, Hippasus, was drowned when he announced his discovery of irrational numbers. As well as his work on the properties of right angled triangles, Pythagoras developed another important theory after observing musical instruments. He discovered that the intervals between harmonious musical notes are always in whole number intervals. It deals briefly with Hypatia of Alexandria.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Focus on The Story of Maths and explain the "The Genius of the East".

With the decline of ancient Greece, the development of maths stagnated in Europe. However the progress of mathematics continued in the East. Du Sautoy describes both the Chinese use of maths in engineering projects and their belief in the mystical powers of numbers. He mentions Qin Jiushao.He describes Indian mathematicians’ invention of trigonometry; their introduction of a symbol for the number zero and their contribution to the new concepts of infinity and negative numbers. It shows Gwalior Fort where zero is inscribed on its walls. It mentions the work of Brahmagupta and Bhāskara II on the subject of zero. He mentions Madhava of Sangamagrama and Aryabhata and illustrates the - historically first exact - formula for calculating the π (pi).Du Sautoy then considers the Middle East: the invention of the new language of algebra and the evolution of a solution to cubic equations. He talks about the House of Wisdom with Muhammad ibn Mūsā al-Khwārizmī and he visits University of Al-Karaouine. He mentions Omar Khayyám.Finally he examines the spread of Eastern knowledge to the West through mathematicians such as Leonardo Fibonacci, famous for the Fibonacci sequence. He mentions Niccolò Fontana Tartaglia.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Explain the "The Genius of the East" of this artwork, The Story of Maths.

With the decline of ancient Greece, the development of maths stagnated in Europe. However the progress of mathematics continued in the East. Du Sautoy describes both the Chinese use of maths in engineering projects and their belief in the mystical powers of numbers. He mentions Qin Jiushao.He describes Indian mathematicians’ invention of trigonometry; their introduction of a symbol for the number zero and their contribution to the new concepts of infinity and negative numbers. It shows Gwalior Fort where zero is inscribed on its walls. It mentions the work of Brahmagupta and Bhāskara II on the subject of zero. He mentions Madhava of Sangamagrama and Aryabhata and illustrates the - historically first exact - formula for calculating the π (pi).Du Sautoy then considers the Middle East: the invention of the new language of algebra and the evolution of a solution to cubic equations. He talks about the House of Wisdom with Muhammad ibn Mūsā al-Khwārizmī and he visits University of Al-Karaouine. He mentions Omar Khayyám.Finally he examines the spread of Eastern knowledge to the West through mathematicians such as Leonardo Fibonacci, famous for the Fibonacci sequence. He mentions Niccolò Fontana Tartaglia.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: How does The Story of Maths explain its "The Genius of the East"?

With the decline of ancient Greece, the development of maths stagnated in Europe. However the progress of mathematics continued in the East. Du Sautoy describes both the Chinese use of maths in engineering projects and their belief in the mystical powers of numbers. He mentions Qin Jiushao.He describes Indian mathematicians’ invention of trigonometry; their introduction of a symbol for the number zero and their contribution to the new concepts of infinity and negative numbers. It shows Gwalior Fort where zero is inscribed on its walls. It mentions the work of Brahmagupta and Bhāskara II on the subject of zero. He mentions Madhava of Sangamagrama and Aryabhata and illustrates the - historically first exact - formula for calculating the π (pi).Du Sautoy then considers the Middle East: the invention of the new language of algebra and the evolution of a solution to cubic equations. He talks about the House of Wisdom with Muhammad ibn Mūsā al-Khwārizmī and he visits University of Al-Karaouine. He mentions Omar Khayyám.Finally he examines the spread of Eastern knowledge to the West through mathematicians such as Leonardo Fibonacci, famous for the Fibonacci sequence. He mentions Niccolò Fontana Tartaglia.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In The Story of Maths, how is the "The Genius of the East" discussed?

With the decline of ancient Greece, the development of maths stagnated in Europe. However the progress of mathematics continued in the East. Du Sautoy describes both the Chinese use of maths in engineering projects and their belief in the mystical powers of numbers. He mentions Qin Jiushao.He describes Indian mathematicians’ invention of trigonometry; their introduction of a symbol for the number zero and their contribution to the new concepts of infinity and negative numbers. It shows Gwalior Fort where zero is inscribed on its walls. It mentions the work of Brahmagupta and Bhāskara II on the subject of zero. He mentions Madhava of Sangamagrama and Aryabhata and illustrates the - historically first exact - formula for calculating the π (pi).Du Sautoy then considers the Middle East: the invention of the new language of algebra and the evolution of a solution to cubic equations. He talks about the House of Wisdom with Muhammad ibn Mūsā al-Khwārizmī and he visits University of Al-Karaouine. He mentions Omar Khayyám.Finally he examines the spread of Eastern knowledge to the West through mathematicians such as Leonardo Fibonacci, famous for the Fibonacci sequence. He mentions Niccolò Fontana Tartaglia.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Focus on The Story of Maths and explain the "The Frontiers of Space".

From the seventeenth century, Europe replaced the Middle East as the engine house of mathematical ideas. Du Sautoy visits Urbino to introduce perspective using mathematician and artist, Piero della Francesca's The Flagellation of Christ.Du Sautoy proceeds to describes René Descartes realisation that it was possible to describe curved lines as equations and thus link algebra and geometry. He talks with Henk J. M. Bos about Descartes. He shows how one of Pierre de Fermat's theorems is now the basis for the codes that protect credit card transactions on the internet. He describes Isaac Newton’s development of math and physics crucial to understanding the behaviour of moving objects in engineering. He covers the Leibniz and Newton calculus controversy and the Bernoulli family. He further covers Leonhard Euler, the father of topology, and Gauss's invention of a new way of handling equations, modular arithmetic. He mentions János Bolyai.The further contribution of Gauss to our understanding of how prime numbers are distributed is covered thus providing the platform for Bernhard Riemann's theories on prime numbers. In addition Riemann worked on the properties of objects, which he saw as manifolds that could exist in multi-dimensional space.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Explain the "The Frontiers of Space" of this artwork, The Story of Maths.

From the seventeenth century, Europe replaced the Middle East as the engine house of mathematical ideas. Du Sautoy visits Urbino to introduce perspective using mathematician and artist, Piero della Francesca's The Flagellation of Christ.Du Sautoy proceeds to describes René Descartes realisation that it was possible to describe curved lines as equations and thus link algebra and geometry. He talks with Henk J. M. Bos about Descartes. He shows how one of Pierre de Fermat's theorems is now the basis for the codes that protect credit card transactions on the internet. He describes Isaac Newton’s development of math and physics crucial to understanding the behaviour of moving objects in engineering. He covers the Leibniz and Newton calculus controversy and the Bernoulli family. He further covers Leonhard Euler, the father of topology, and Gauss's invention of a new way of handling equations, modular arithmetic. He mentions János Bolyai.The further contribution of Gauss to our understanding of how prime numbers are distributed is covered thus providing the platform for Bernhard Riemann's theories on prime numbers. In addition Riemann worked on the properties of objects, which he saw as manifolds that could exist in multi-dimensional space.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: How does The Story of Maths explain its "The Frontiers of Space"?

From the seventeenth century, Europe replaced the Middle East as the engine house of mathematical ideas. Du Sautoy visits Urbino to introduce perspective using mathematician and artist, Piero della Francesca's The Flagellation of Christ.Du Sautoy proceeds to describes René Descartes realisation that it was possible to describe curved lines as equations and thus link algebra and geometry. He talks with Henk J. M. Bos about Descartes. He shows how one of Pierre de Fermat's theorems is now the basis for the codes that protect credit card transactions on the internet. He describes Isaac Newton’s development of math and physics crucial to understanding the behaviour of moving objects in engineering. He covers the Leibniz and Newton calculus controversy and the Bernoulli family. He further covers Leonhard Euler, the father of topology, and Gauss's invention of a new way of handling equations, modular arithmetic. He mentions János Bolyai.The further contribution of Gauss to our understanding of how prime numbers are distributed is covered thus providing the platform for Bernhard Riemann's theories on prime numbers. In addition Riemann worked on the properties of objects, which he saw as manifolds that could exist in multi-dimensional space.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In The Story of Maths, how is the "The Frontiers of Space" discussed?

From the seventeenth century, Europe replaced the Middle East as the engine house of mathematical ideas. Du Sautoy visits Urbino to introduce perspective using mathematician and artist, Piero della Francesca's The Flagellation of Christ.Du Sautoy proceeds to describes René Descartes realisation that it was possible to describe curved lines as equations and thus link algebra and geometry. He talks with Henk J. M. Bos about Descartes. He shows how one of Pierre de Fermat's theorems is now the basis for the codes that protect credit card transactions on the internet. He describes Isaac Newton’s development of math and physics crucial to understanding the behaviour of moving objects in engineering. He covers the Leibniz and Newton calculus controversy and the Bernoulli family. He further covers Leonhard Euler, the father of topology, and Gauss's invention of a new way of handling equations, modular arithmetic. He mentions János Bolyai.The further contribution of Gauss to our understanding of how prime numbers are distributed is covered thus providing the platform for Bernhard Riemann's theories on prime numbers. In addition Riemann worked on the properties of objects, which he saw as manifolds that could exist in multi-dimensional space.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In the context of The Story of Maths, explain the Hilbert's first problem and the "To Infinity and Beyond".

The final episode considers the great unsolved problems that confronted mathematicians in the 20th century. On 8 August 1900 David Hilbert gave a historic talk at the International Congress of Mathematicians in Paris. Hilbert posed twenty-three then unsolved problems in mathematics which he believed were of the most immediate importance. Hilbert succeeded in setting the agenda for 20thC mathematics and the programme commenced with Hilbert's first problem.Georg Cantor considered the infinite set of whole numbers 1, 2, 3 ... ∞ which he compared with the smaller set of numbers 10, 20, 30 ... ∞. Cantor showed that these two infinite sets of numbers actually had the same size as it was possible to pair each number up; 1 - 10, 2 - 20, 3 - 30 ... etc.If fractions now are considered there are an infinite number of fractions between any of the two whole numbers, suggesting that the infinity of fractions is bigger than the infinity of whole numbers. Yet Cantor was still able to pair each such fraction to a whole number 1 - 1/1; 2 - 2/1; 3 - 1/2 ... etc. through to ∞; i.e. the infinities of both fractions and whole numbers were shown to have the same size.But when the set of all infinite decimal numbers was considered, Cantor was able to prove that this produced a bigger infinity. This was because, no matter how one tried to construct such a list, Cantor was able to provide a new decimal number that was missing from that list. Thus he showed that there were different infinities, some bigger than others.However, there was a problem that Cantor was unable to solve: Is there an infinity sitting between the smaller infinity of all the fractions and the larger infinity of the decimals? Cantor believed, in what became known as the Continuum Hypothesis, that there is no such set. This would be the first problem listed by Hilbert.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Explain the Hilbert's first problem about the "To Infinity and Beyond" of this artwork, The Story of Maths.

The final episode considers the great unsolved problems that confronted mathematicians in the 20th century. On 8 August 1900 David Hilbert gave a historic talk at the International Congress of Mathematicians in Paris. Hilbert posed twenty-three then unsolved problems in mathematics which he believed were of the most immediate importance. Hilbert succeeded in setting the agenda for 20thC mathematics and the programme commenced with Hilbert's first problem.Georg Cantor considered the infinite set of whole numbers 1, 2, 3 ... ∞ which he compared with the smaller set of numbers 10, 20, 30 ... ∞. Cantor showed that these two infinite sets of numbers actually had the same size as it was possible to pair each number up; 1 - 10, 2 - 20, 3 - 30 ... etc.If fractions now are considered there are an infinite number of fractions between any of the two whole numbers, suggesting that the infinity of fractions is bigger than the infinity of whole numbers. Yet Cantor was still able to pair each such fraction to a whole number 1 - 1/1; 2 - 2/1; 3 - 1/2 ... etc. through to ∞; i.e. the infinities of both fractions and whole numbers were shown to have the same size.But when the set of all infinite decimal numbers was considered, Cantor was able to prove that this produced a bigger infinity. This was because, no matter how one tried to construct such a list, Cantor was able to provide a new decimal number that was missing from that list. Thus he showed that there were different infinities, some bigger than others.However, there was a problem that Cantor was unable to solve: Is there an infinity sitting between the smaller infinity of all the fractions and the larger infinity of the decimals? Cantor believed, in what became known as the Continuum Hypothesis, that there is no such set. This would be the first problem listed by Hilbert.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In The Story of Maths, how is the Hilbert's first problem of the "To Infinity and Beyond" explained?

The final episode considers the great unsolved problems that confronted mathematicians in the 20th century. On 8 August 1900 David Hilbert gave a historic talk at the International Congress of Mathematicians in Paris. Hilbert posed twenty-three then unsolved problems in mathematics which he believed were of the most immediate importance. Hilbert succeeded in setting the agenda for 20thC mathematics and the programme commenced with Hilbert's first problem.Georg Cantor considered the infinite set of whole numbers 1, 2, 3 ... ∞ which he compared with the smaller set of numbers 10, 20, 30 ... ∞. Cantor showed that these two infinite sets of numbers actually had the same size as it was possible to pair each number up; 1 - 10, 2 - 20, 3 - 30 ... etc.If fractions now are considered there are an infinite number of fractions between any of the two whole numbers, suggesting that the infinity of fractions is bigger than the infinity of whole numbers. Yet Cantor was still able to pair each such fraction to a whole number 1 - 1/1; 2 - 2/1; 3 - 1/2 ... etc. through to ∞; i.e. the infinities of both fractions and whole numbers were shown to have the same size.But when the set of all infinite decimal numbers was considered, Cantor was able to prove that this produced a bigger infinity. This was because, no matter how one tried to construct such a list, Cantor was able to provide a new decimal number that was missing from that list. Thus he showed that there were different infinities, some bigger than others.However, there was a problem that Cantor was unable to solve: Is there an infinity sitting between the smaller infinity of all the fractions and the larger infinity of the decimals? Cantor believed, in what became known as the Continuum Hypothesis, that there is no such set. This would be the first problem listed by Hilbert.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Describe the characteristics of the Hilbert's first problem in The Story of Maths's "To Infinity and Beyond".

The final episode considers the great unsolved problems that confronted mathematicians in the 20th century. On 8 August 1900 David Hilbert gave a historic talk at the International Congress of Mathematicians in Paris. Hilbert posed twenty-three then unsolved problems in mathematics which he believed were of the most immediate importance. Hilbert succeeded in setting the agenda for 20thC mathematics and the programme commenced with Hilbert's first problem.Georg Cantor considered the infinite set of whole numbers 1, 2, 3 ... ∞ which he compared with the smaller set of numbers 10, 20, 30 ... ∞. Cantor showed that these two infinite sets of numbers actually had the same size as it was possible to pair each number up; 1 - 10, 2 - 20, 3 - 30 ... etc.If fractions now are considered there are an infinite number of fractions between any of the two whole numbers, suggesting that the infinity of fractions is bigger than the infinity of whole numbers. Yet Cantor was still able to pair each such fraction to a whole number 1 - 1/1; 2 - 2/1; 3 - 1/2 ... etc. through to ∞; i.e. the infinities of both fractions and whole numbers were shown to have the same size.But when the set of all infinite decimal numbers was considered, Cantor was able to prove that this produced a bigger infinity. This was because, no matter how one tried to construct such a list, Cantor was able to provide a new decimal number that was missing from that list. Thus he showed that there were different infinities, some bigger than others.However, there was a problem that Cantor was unable to solve: Is there an infinity sitting between the smaller infinity of all the fractions and the larger infinity of the decimals? Cantor believed, in what became known as the Continuum Hypothesis, that there is no such set. This would be the first problem listed by Hilbert.

Madhava of Sangamagrama#The value of π (pi)

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The Story of Maths

Prompt: In the context of The Story of Maths, explain the Poincaré conjecture and the "To Infinity and Beyond".

Next Marcus discusses Henri Poincaré's work on the discipline of 'Bendy geometry'. If two shapes can be moulded or morphed to each other's shape then they have the same topology. Poincaré was able to identify all possible two-dimensional topological surfaces; however in 1904 he came up with a topological problem, the Poincaré conjecture, that he could not solve; namely what are all the possible shapes for a 3D universe.According to the programme, the question was solved in 2002 by Grigori Perelman who linked the problem to a different area of mathematics. Perelman looked at the dynamics of the way things can flow over the shape. This enabled him to find all the ways that 3D space could be wrapped up in higher dimensions.

Madhava of Sangamagrama#The value of π (pi)

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The Story of Science: Power, Proof and Passion

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The Story of Maths

Prompt: Explain the Poincaré conjecture about the "To Infinity and Beyond" of this artwork, The Story of Maths.

Next Marcus discusses Henri Poincaré's work on the discipline of 'Bendy geometry'. If two shapes can be moulded or morphed to each other's shape then they have the same topology. Poincaré was able to identify all possible two-dimensional topological surfaces; however in 1904 he came up with a topological problem, the Poincaré conjecture, that he could not solve; namely what are all the possible shapes for a 3D universe.According to the programme, the question was solved in 2002 by Grigori Perelman who linked the problem to a different area of mathematics. Perelman looked at the dynamics of the way things can flow over the shape. This enabled him to find all the ways that 3D space could be wrapped up in higher dimensions.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

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History of science and technology in China

The Story of Science: Power, Proof and Passion

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The Story of Maths

Prompt: In The Story of Maths, how is the Poincaré conjecture of the "To Infinity and Beyond" explained?

Next Marcus discusses Henri Poincaré's work on the discipline of 'Bendy geometry'. If two shapes can be moulded or morphed to each other's shape then they have the same topology. Poincaré was able to identify all possible two-dimensional topological surfaces; however in 1904 he came up with a topological problem, the Poincaré conjecture, that he could not solve; namely what are all the possible shapes for a 3D universe.According to the programme, the question was solved in 2002 by Grigori Perelman who linked the problem to a different area of mathematics. Perelman looked at the dynamics of the way things can flow over the shape. This enabled him to find all the ways that 3D space could be wrapped up in higher dimensions.

Madhava of Sangamagrama#The value of π (pi)

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History of science and technology in China

The Story of Science: Power, Proof and Passion

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International Congress of Mathematicians

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The Story of Maths

Prompt: Describe the characteristics of the Poincaré conjecture in The Story of Maths's "To Infinity and Beyond".

Next Marcus discusses Henri Poincaré's work on the discipline of 'Bendy geometry'. If two shapes can be moulded or morphed to each other's shape then they have the same topology. Poincaré was able to identify all possible two-dimensional topological surfaces; however in 1904 he came up with a topological problem, the Poincaré conjecture, that he could not solve; namely what are all the possible shapes for a 3D universe.According to the programme, the question was solved in 2002 by Grigori Perelman who linked the problem to a different area of mathematics. Perelman looked at the dynamics of the way things can flow over the shape. This enabled him to find all the ways that 3D space could be wrapped up in higher dimensions.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

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History of science and technology in China

The Story of Science: Power, Proof and Passion

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International Congress of Mathematicians

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The Story of Maths

Prompt: In the context of The Story of Maths, explain the David Hilbert and the "To Infinity and Beyond".

The achievements of David Hilbert were now considered. In addition to Hilbert's problems, Hilbert space, Hilbert Classification and the Hilbert Inequality, du Sautoy highlights Hilbert's early work on equations as marking him out as a mathematician able to think in new ways. Hilbert showed that, while there were an infinity of equations, these equations could be constructed from a finite number of building block like sets. Hilbert could not construct that list of sets; he simply proved that it existed. In effect Hilbert had created a new more abstract style of Mathematics.

Madhava of Sangamagrama#The value of π (pi)

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History of science and technology in China

The Story of Science: Power, Proof and Passion

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The Story of Maths

Prompt: Explain the David Hilbert about the "To Infinity and Beyond" of this artwork, The Story of Maths.

The achievements of David Hilbert were now considered. In addition to Hilbert's problems, Hilbert space, Hilbert Classification and the Hilbert Inequality, du Sautoy highlights Hilbert's early work on equations as marking him out as a mathematician able to think in new ways. Hilbert showed that, while there were an infinity of equations, these equations could be constructed from a finite number of building block like sets. Hilbert could not construct that list of sets; he simply proved that it existed. In effect Hilbert had created a new more abstract style of Mathematics.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

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International Congress of Mathematicians

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The Story of Maths

Prompt: In The Story of Maths, how is the David Hilbert of the "To Infinity and Beyond" explained?

The achievements of David Hilbert were now considered. In addition to Hilbert's problems, Hilbert space, Hilbert Classification and the Hilbert Inequality, du Sautoy highlights Hilbert's early work on equations as marking him out as a mathematician able to think in new ways. Hilbert showed that, while there were an infinity of equations, these equations could be constructed from a finite number of building block like sets. Hilbert could not construct that list of sets; he simply proved that it existed. In effect Hilbert had created a new more abstract style of Mathematics.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Describe the characteristics of the David Hilbert in The Story of Maths's "To Infinity and Beyond".

The achievements of David Hilbert were now considered. In addition to Hilbert's problems, Hilbert space, Hilbert Classification and the Hilbert Inequality, du Sautoy highlights Hilbert's early work on equations as marking him out as a mathematician able to think in new ways. Hilbert showed that, while there were an infinity of equations, these equations could be constructed from a finite number of building block like sets. Hilbert could not construct that list of sets; he simply proved that it existed. In effect Hilbert had created a new more abstract style of Mathematics.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

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The Story of Maths

Prompt: In the context of The Story of Maths, explain the Hilbert's second problem and the "To Infinity and Beyond".

For 30 years Hilbert believed that mathematics was a universal language powerful enough to unlock all the truths and solve each of his 23 Problems. Yet, even as Hilbert was stating We must know, we will know, Kurt Gödel had shattered this belief; he had formulated the Incompleteness Theorem based on his study of Hilbert's second problem:This statement cannot be provedUsing a code based on prime numbers, Gödel was able to transform the above into a pure statement of arithmetic. Logically, the above cannot be false and hence Gödel had discovered the existence of mathematical statements that were true but were incapable of being proved.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

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History of science and technology in China

The Story of Science: Power, Proof and Passion

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The Story of Maths

Prompt: Explain the Hilbert's second problem about the "To Infinity and Beyond" of this artwork, The Story of Maths.

For 30 years Hilbert believed that mathematics was a universal language powerful enough to unlock all the truths and solve each of his 23 Problems. Yet, even as Hilbert was stating We must know, we will know, Kurt Gödel had shattered this belief; he had formulated the Incompleteness Theorem based on his study of Hilbert's second problem:This statement cannot be provedUsing a code based on prime numbers, Gödel was able to transform the above into a pure statement of arithmetic. Logically, the above cannot be false and hence Gödel had discovered the existence of mathematical statements that were true but were incapable of being proved.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In The Story of Maths, how is the Hilbert's second problem of the "To Infinity and Beyond" explained?

For 30 years Hilbert believed that mathematics was a universal language powerful enough to unlock all the truths and solve each of his 23 Problems. Yet, even as Hilbert was stating We must know, we will know, Kurt Gödel had shattered this belief; he had formulated the Incompleteness Theorem based on his study of Hilbert's second problem:This statement cannot be provedUsing a code based on prime numbers, Gödel was able to transform the above into a pure statement of arithmetic. Logically, the above cannot be false and hence Gödel had discovered the existence of mathematical statements that were true but were incapable of being proved.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Describe the characteristics of the Hilbert's second problem in The Story of Maths's "To Infinity and Beyond".

For 30 years Hilbert believed that mathematics was a universal language powerful enough to unlock all the truths and solve each of his 23 Problems. Yet, even as Hilbert was stating We must know, we will know, Kurt Gödel had shattered this belief; he had formulated the Incompleteness Theorem based on his study of Hilbert's second problem:This statement cannot be provedUsing a code based on prime numbers, Gödel was able to transform the above into a pure statement of arithmetic. Logically, the above cannot be false and hence Gödel had discovered the existence of mathematical statements that were true but were incapable of being proved.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

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International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

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The Story of Maths

Prompt: In the context of The Story of Maths, explain the Hilbert's first problem revisited and the "To Infinity and Beyond".

In 1950s American mathematician Paul Cohen took up the challenge of Cantor's Continuum Hypothesis which asks "is there is or isn't there an infinite set of number bigger than the set of whole numbers but smaller than the set of all decimals". Cohen found that there existed two equally consistent mathematical worlds. In one world the Hypothesis was true and there did not exist such a set. Yet there existed a mutually exclusive but equally consistent mathematical proof that Hypothesis was false and there was such a set. Cohen would subsequently work on Hilbert's eighth problem, the Riemann hypothesis, although without the success of his earlier work.

Madhava of Sangamagrama#The value of π (pi)

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History of science and technology in China

The Story of Science: Power, Proof and Passion

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The Story of Maths

Prompt: Explain the Hilbert's first problem revisited about the "To Infinity and Beyond" of this artwork, The Story of Maths.

In 1950s American mathematician Paul Cohen took up the challenge of Cantor's Continuum Hypothesis which asks "is there is or isn't there an infinite set of number bigger than the set of whole numbers but smaller than the set of all decimals". Cohen found that there existed two equally consistent mathematical worlds. In one world the Hypothesis was true and there did not exist such a set. Yet there existed a mutually exclusive but equally consistent mathematical proof that Hypothesis was false and there was such a set. Cohen would subsequently work on Hilbert's eighth problem, the Riemann hypothesis, although without the success of his earlier work.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In The Story of Maths, how is the Hilbert's first problem revisited of the "To Infinity and Beyond" explained?

In 1950s American mathematician Paul Cohen took up the challenge of Cantor's Continuum Hypothesis which asks "is there is or isn't there an infinite set of number bigger than the set of whole numbers but smaller than the set of all decimals". Cohen found that there existed two equally consistent mathematical worlds. In one world the Hypothesis was true and there did not exist such a set. Yet there existed a mutually exclusive but equally consistent mathematical proof that Hypothesis was false and there was such a set. Cohen would subsequently work on Hilbert's eighth problem, the Riemann hypothesis, although without the success of his earlier work.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: Describe the characteristics of the Hilbert's first problem revisited in The Story of Maths's "To Infinity and Beyond".

In 1950s American mathematician Paul Cohen took up the challenge of Cantor's Continuum Hypothesis which asks "is there is or isn't there an infinite set of number bigger than the set of whole numbers but smaller than the set of all decimals". Cohen found that there existed two equally consistent mathematical worlds. In one world the Hypothesis was true and there did not exist such a set. Yet there existed a mutually exclusive but equally consistent mathematical proof that Hypothesis was false and there was such a set. Cohen would subsequently work on Hilbert's eighth problem, the Riemann hypothesis, although without the success of his earlier work.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

Flagellation of Christ (Piero della Francesca)

History of science and technology in China

The Story of Science: Power, Proof and Passion

Category:BBC television documentaries about science

Category:BBC television documentaries about history

International Congress of Mathematicians

Category:Documentary films about the history of science

Category:2008 British television series endings

Category:British documentary television series

Category:Documentary television series about mathematics

Category:2008 British television series debuts


The Story of Maths

Prompt: In the context of The Story of Maths, explain the Hilbert's tenth problem and the "To Infinity and Beyond".

Hilbert's tenth problem asked if there was some universal method that could tell whether any equation had whole number solutions or not. The growing belief was that no so such method was possible yet the question remained, how could you prove that, no matter how ingenious you were, you would never come up with such a method. He mentions Paul Cohen. To answer this Julia Robinson, who created the Robinson Hypothesis which stated that to show that there was no such method all you had to do was cook up one equation whose solutions were a very specific set of numbers: The set of numbers needed to grow exponentially yet still be captured by the equations at the heart of Hilbert's problem. Robinson was unable to find this set. This part of the solution fell to Yuri Matiyasevich who saw how to capture the Fibonacci sequence using the equations at the heart of Hilbert's tenth.

Madhava of Sangamagrama#The value of π (pi)

Category:British English-language television shows

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History of science and technology in China

The Story of Science: Power, Proof and Passion

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International Congress of Mathematicians

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Category:Documentary television series about mathematics

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