Ebook: Conversations with a Mathematician: Math, Art, Science and the Limits of Reason
Author: Gregory J. Chaitin (auth.)
- Tags: Philosophy of Science, Computational Mathematics and Numerical Analysis, Mathematics of Computing
- Year: 2002
- Publisher: Springer-Verlag London
- Edition: 1
- Language: English
- pdf
G. J. Chaitin is at the IBM Thomas J. Watson Research Center in New York. He has shown that God plays dice not only in quantum mechanics, but even in the foundations of mathematics, where Chaitin discovered mathematical facts that are true for no reason, that are true by accident. This book collects his most wide-ranging and non-technical lectures and interviews, and it will be of interest to anyone concerned with the philosophy of mathematics, with the similarities and differences between physics and mathematics, or with the creative process and mathematics as an art.
"Chaitin has put a scratch on the rock of eternity."
Jacob T. Schwartz, Courant Institute, New York University, USA
"(Chaitin is) one of the great ideas men of mathematics and computer science."
Marcus Chown, author of The Magic Furnace, in NEW SCIENTIST
"Finding the right formalization is a large component of the art of doing great mathematics."
John Casti, author of Mathematical Mountaintops, on Godel, Turing and Chaitin in NATURE
"What mathematicians over the centuries - from the ancients, through Pascal, Fermat, Bernoulli, and de Moivre, to Kolmogorov and Chaitin - have discovered, is that it ÄrandomnessÜ is a profoundly rich concept."
Jerrold W. Grossman in the MATHEMATICAL INTELLIGENCER
G. J. Chaitin is at the IBM Thomas J. Watson Research Center in New York. He has shown that God plays dice not only in quantum mechanics, but even in the foundations of mathematics, where Chaitin discovered mathematical facts that are true for no reason, that are true by accident. This book collects his most wide-ranging and non-technical lectures and interviews, and it will be of interest to anyone concerned with the philosophy of mathematics, with the similarities and differences between physics and mathematics, or with the creative process and mathematics as an art.
"Chaitin has put a scratch on the rock of eternity."
Jacob T. Schwartz, Courant Institute, New York University, USA
"(Chaitin is) one of the great ideas men of mathematics and computer science."
Marcus Chown, author of The Magic Furnace, in NEW SCIENTIST
"Finding the right formalization is a large component of the art of doing great mathematics."
John Casti, author of Mathematical Mountaintops, on Godel, Turing and Chaitin in NATURE
"What mathematicians over the centuries - from the ancients, through Pascal, Fermat, Bernoulli, and de Moivre, to Kolmogorov and Chaitin - have discovered, is that it ?randomness? is a profoundly rich concept."
Jerrold W. Grossman in the MATHEMATICAL INTELLIGENCER
G. J. Chaitin is at the IBM Thomas J. Watson Research Center in New York. He has shown that God plays dice not only in quantum mechanics, but even in the foundations of mathematics, where Chaitin discovered mathematical facts that are true for no reason, that are true by accident. This book collects his most wide-ranging and non-technical lectures and interviews, and it will be of interest to anyone concerned with the philosophy of mathematics, with the similarities and differences between physics and mathematics, or with the creative process and mathematics as an art.
"Chaitin has put a scratch on the rock of eternity."
Jacob T. Schwartz, Courant Institute, New York University, USA
"(Chaitin is) one of the great ideas men of mathematics and computer science."
Marcus Chown, author of The Magic Furnace, in NEW SCIENTIST
"Finding the right formalization is a large component of the art of doing great mathematics."
John Casti, author of Mathematical Mountaintops, on Godel, Turing and Chaitin in NATURE
"What mathematicians over the centuries - from the ancients, through Pascal, Fermat, Bernoulli, and de Moivre, to Kolmogorov and Chaitin - have discovered, is that it ?randomness? is a profoundly rich concept."
Jerrold W. Grossman in the MATHEMATICAL INTELLIGENCER
Content:
Front Matter....Pages i-vii
Introduction....Pages 1-3
Lecture — A Century of Controversy over the Foundations of Mathematics....Pages 5-40
Interview by Tor N?rretranders — How to be a Mathematician....Pages 41-50
Interview by Hans-Ulrich Obrist — The Creative Life: Science vs. Art....Pages 51-71
Lecture — Algorithmic Information Theory & the Foundations of Mathematics....Pages 73-89
Interview by Fisher Dilke — Randomness in Arithmetic....Pages 91-94
Interview by Guillermo Mart?nez — The Reason for My Life....Pages 95-112
Lecture — Undecidability & Randomness in Pure Mathematics....Pages 113-126
Interview by Kate Mullen — Math, Science & Fantasy....Pages 127-141
Interview by Jorge Pontual —Sensual Mathematics....Pages 143-154
Final Thoughts....Pages 155-156
Back Matter....Pages 157-158
G. J. Chaitin is at the IBM Thomas J. Watson Research Center in New York. He has shown that God plays dice not only in quantum mechanics, but even in the foundations of mathematics, where Chaitin discovered mathematical facts that are true for no reason, that are true by accident. This book collects his most wide-ranging and non-technical lectures and interviews, and it will be of interest to anyone concerned with the philosophy of mathematics, with the similarities and differences between physics and mathematics, or with the creative process and mathematics as an art.
"Chaitin has put a scratch on the rock of eternity."
Jacob T. Schwartz, Courant Institute, New York University, USA
"(Chaitin is) one of the great ideas men of mathematics and computer science."
Marcus Chown, author of The Magic Furnace, in NEW SCIENTIST
"Finding the right formalization is a large component of the art of doing great mathematics."
John Casti, author of Mathematical Mountaintops, on Godel, Turing and Chaitin in NATURE
"What mathematicians over the centuries - from the ancients, through Pascal, Fermat, Bernoulli, and de Moivre, to Kolmogorov and Chaitin - have discovered, is that it ?randomness? is a profoundly rich concept."
Jerrold W. Grossman in the MATHEMATICAL INTELLIGENCER
Content:
Front Matter....Pages i-vii
Introduction....Pages 1-3
Lecture — A Century of Controversy over the Foundations of Mathematics....Pages 5-40
Interview by Tor N?rretranders — How to be a Mathematician....Pages 41-50
Interview by Hans-Ulrich Obrist — The Creative Life: Science vs. Art....Pages 51-71
Lecture — Algorithmic Information Theory & the Foundations of Mathematics....Pages 73-89
Interview by Fisher Dilke — Randomness in Arithmetic....Pages 91-94
Interview by Guillermo Mart?nez — The Reason for My Life....Pages 95-112
Lecture — Undecidability & Randomness in Pure Mathematics....Pages 113-126
Interview by Kate Mullen — Math, Science & Fantasy....Pages 127-141
Interview by Jorge Pontual —Sensual Mathematics....Pages 143-154
Final Thoughts....Pages 155-156
Back Matter....Pages 157-158
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