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  • © 1997

Indiscrete Thoughts

Birkhäuser

Authors:

  • Beautifully written perspectives on the nature of mathematics
  • Provides an excellent starting point for discussion and debate
  • Creates a source of supplemental reading for any course in the foundations or history of mathematics

Part of the book series: Modern Birkhäuser Classics (MBC)

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Table of contents (21 chapters)

  1. Front Matter

    Pages I-XXIII
  2. Persons and Places

    1. Front Matter

      Pages 1-1
    2. Fine Hall in its Golden Age

      • Gian-Carlo Rota
      Pages 3-20
    3. Light Shadows

      • Gian-Carlo Rota
      Pages 21-38
    4. The Barrier of Meaning

      • Gian-Carlo Rota
      Pages 55-59
    5. Stan Ulam

      • Gian-Carlo Rota
      Pages 60-62
    6. The Lost Café

      • Gian-Carlo Rota
      Pages 63-86
  3. Philosophy

    1. Front Matter

      Pages 87-87
    2. Philosophy and Computer Science

      • Gian-Carlo Rota
      Pages 104-107
    3. The Phenomenology of Mathematical Truth

      • Gian-Carlo Rota
      Pages 108-120
    4. The Phenomenology of Mathematical Beauty

      • Gian-Carlo Rota
      Pages 121-133
    5. The Phenomenology of Mathematical Proof

      • Gian-Carlo Rota
      Pages 134-150
    6. The Barber of Seville, or The Useless Precaution

      • Gian-Carlo Rota
      Pages 158-161
    7. Kant and Husserl

      • Gian-Carlo Rota
      Pages 162-171
    8. Fundierung as a Logical Concept

      • Gian-Carlo Rota
      Pages 172-181
    9. The Primacy of Identity

      • Gian-Carlo Rota
      Pages 182-187
    10. Three Senses of “A is B” in Heidegger

      • Gian-Carlo Rota
      Pages 188-191

About this book

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 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 50s 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.

Reviews

From the reviews:

"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 the 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

"This is a paperback reprint, in the Modern Birkhäuser Classics series, of a book first published in 1997. It has aged very well, and richly deserves its inclusion in this series. … an excellent book, fun to read, and interesting to think about." (Fernando Q. Gouvêa, MathDL, January, 2008)

Authors, Editors and Affiliations

  • Department of Philosophy, University of Torino, Torino, Italy

    Fabrizio Palombi

  • Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

    Gian-Carlo Rota

Bibliographic Information

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access