Ebook: Indiscrete Thoughts
- Tags: History of Mathematical Sciences, Mathematical Logic and Foundations, Game Theory Economics Social and Behav. Sciences, Applications of Mathematics, Mathematics general
- Series: Modern Birkhäuser Classics
- Year: 2008
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
Indiscrete Thoughts gives a glimpse into a world that has seldom been described, that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science as well as of the American university.
Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period —Stanislav Ulam (who, together with Edward Teller, signed the patent application for the hydrogen bomb), Solomon Lefschetz (Chairman in the 1950s of the Princeton mathematics department), William Feller (one of the founders of modern probability theory), Jack Schwartz (one of the founders of computer science), and many others.
Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. After the publication of the essay "The Pernicious Influence of Mathematics upon Philosophy" (reprinted six times in five languages) the author was blacklisted in analytical philosophy circles. Indiscrete Thoughts should become an instant classic and the subject of debate for decades to come.
"Read Indiscrete Thoughts for its account of the way we were and what we have become; for its sensible advice and its exuberant rhetoric."--The Mathematical Intelligencer
"Learned, thought-provoking, politically incorrect, delighting in paradox, and likely to offend—but everywhere readable and entertaining."--The American Mathematical Monthly
"It is about mathematicians, the way they think, and the world in which they live. It is 260 pages of Rota calling it like he sees it... Readers are bound to find his observations amusing if not insightful. Gian-Carlo Rota has written the sort of book that few mathematicians could write. What will appeal immediately to anyone with an interest in research mathematics are the stories he tells about the practice of modern mathematics."--MAA Reviews
Indiscrete Thoughts gives a glimpse into a world that has seldom been described, that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science as well as of the American university.
Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period —Stanislav Ulam (who, together with Edward Teller, signed the patent application for the hydrogen bomb), Solomon Lefschetz (Chairman in the 1950s of the Princeton mathematics department), William Feller (one of the founders of modern probability theory), Jack Schwartz (one of the founders of computer science), and many others.
Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. After the publication of the essay "The Pernicious Influence of Mathematics upon Philosophy" (reprinted six times in five languages) the author was blacklisted in analytical philosophy circles. Indiscrete Thoughts should become an instant classic and the subject of debate for decades to come.
"Read Indiscrete Thoughts for its account of the way we were and what we have become; for its sensible advice and its exuberant rhetoric."--The Mathematical Intelligencer
"Learned, thought-provoking, politically incorrect, delighting in paradox, and likely to offend—but everywhere readable and entertaining."--The American Mathematical Monthly
"It is about mathematicians, the way they think, and the world in which they live. It is 260 pages of Rota calling it like he sees it... Readers are bound to find his observations amusing if not insightful. Gian-Carlo Rota has written the sort of book that few mathematicians could write. What will appeal immediately to anyone with an interest in research mathematics are the stories he tells about the practice of modern mathematics."--MAA Reviews
Indiscrete Thoughts gives a glimpse into a world that has seldom been described, that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science as well as of the American university.
Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period —Stanislav Ulam (who, together with Edward Teller, signed the patent application for the hydrogen bomb), Solomon Lefschetz (Chairman in the 1950s of the Princeton mathematics department), William Feller (one of the founders of modern probability theory), Jack Schwartz (one of the founders of computer science), and many others.
Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. After the publication of the essay "The Pernicious Influence of Mathematics upon Philosophy" (reprinted six times in five languages) the author was blacklisted in analytical philosophy circles. Indiscrete Thoughts should become an instant classic and the subject of debate for decades to come.
"Read Indiscrete Thoughts for its account of the way we were and what we have become; for its sensible advice and its exuberant rhetoric."--The Mathematical Intelligencer
"Learned, thought-provoking, politically incorrect, delighting in paradox, and likely to offend—but everywhere readable and entertaining."--The American Mathematical Monthly
"It is about mathematicians, the way they think, and the world in which they live. It is 260 pages of Rota calling it like he sees it... Readers are bound to find his observations amusing if not insightful. Gian-Carlo Rota has written the sort of book that few mathematicians could write. What will appeal immediately to anyone with an interest in research mathematics are the stories he tells about the practice of modern mathematics."--MAA Reviews
Content:
Front Matter....Pages I-XXIII
Front Matter....Pages 1-1
Fine Hall in its Golden Age....Pages 3-20
Light Shadows....Pages 21-38
Combinatorics, Representation Theory and Invariant Theory....Pages 39-54
The Barrier of Meaning....Pages 55-59
Stan Ulam....Pages 60-62
The Lost Caf?....Pages 63-85
Front Matter....Pages 87-87
The Pernicious Influence of Mathematics Upon Philosophy....Pages 89-103
Philosophy and Computer Science....Pages 104-107
The Phenomenology of Mathematical Truth....Pages 108-120
The Phenomenology of Mathematical Beauty....Pages 121-133
The Phenomenology of Mathematical Proof....Pages 134-150
Syntax, Semantics, and the Problem of the Identity of Mathematical Items....Pages 151-157
The Barber of Seville, or The Useless Precaution....Pages 158-161
Kant and Husserl....Pages 162-171
The Primacy of Identity....Pages 172-181
Three Senses of “A is B” in Heidegger....Pages 182-187
Front Matter....Pages 188-191
Ten Lessons I wish I Had Been Taught....Pages 193-193
Ten Lessons for the Survival of a Mathematics Department....Pages 195-203
A Mathematician’s Gossip....Pages 204-208
Back Matter....Pages 209-234
Book Reviews....Pages 258-280
....Pages 235-257