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Indiscrete Thoughts

Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come.

Author : Gian-Carlo Rota

Release : 2009-11-03

Publisher : Springer Science & Business Media

ISBN : 9780817647810

File Size : 70.18 MB

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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 and 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. Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come.

Gaither's Dictionary of Scientific Quotations

Indiscrete Thoughts Chapter VI (p. 70) Birkhäuser. Boston, Massachusetts, USA.
1997 Very little ... 213) Birkhäuser. Boston, Massachusetts, USA. 1997 We
thought that the generalization of the notion of space had ended with topoi, but
we ...

Author : Carl C. Gaither

Release : 2012-01-04

Publisher : Springer Science & Business Media

ISBN : 1461411130

File Size : 26.83 MB

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This unprecedented collection of 27,000 quotations is the most comprehensive and carefully researched of its kind, covering all fields of science and mathematics. With this vast compendium you can readily conceptualize and embrace the written images of scientists, laymen, politicians, novelists, playwrights, and poets about humankind's scientific achievements. Approximately 9000 high-quality entries have been added to this new edition to provide a rich selection of quotations for the student, the educator, and the scientist who would like to introduce a presentation with a relevant quotation that provides perspective and historical background on his subject. Gaither's Dictionary of Scientific Quotations, Second Edition, provides the finest reference source of science quotations for all audiences. The new edition adds greater depth to the number of quotations in the various thematic arrangements and also provides new thematic categories.

The Star and the Whole

Only two anthologies of Rota's philosophical texts are readily available to the
English-language reader: Discrete Thoughts (1986a) and Indiscrete Thoughts (
1997a). In the footnotes, I cite first the original text referred to in the Rota
bibliography ...

Author : Fabrizio Palombi

Release : 2011-08-24

Publisher : CRC Press

ISBN : 1439873526

File Size : 26.47 MB

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The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota’s philosophical reflection. Rota (1932–1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis, and trained several generations of mathematicians in his long career at the Massachusetts Institute of Technology (MIT) and the Los Alamos National Laboratory. The first chapter of the book reconstructs Rota’s cultural biography and examines his philosophical style, his criticisms of analytical philosophy, and his reflection on Heidegger’s thought. The second chapter presents a general picture of Rota’s re-elaboration of phenomenology examined in the light of the Husserlian notion of Fundierung. This chapter also illustrates how the star-shape becomes a powerful instrument for understanding the properties of Husserl’s mereology and the critique of objectivism. The third chapter is a theoretical reflection on the nature of mathematical entities, and the fourth examines the complex relation of mathematical research with technological applicability and scientific progress. The foreword of the text is written by Robert Sokolowski.

Mathematics and the Roots of Postmodern Thought

Without words thought is not yet completed and clear” (Hermeneutik und Kritik,
ed. by Manfred Frank [Frankfurt, Suhrkamp ... For Rota's (apparently controversial
) article, see Gian-Carlo Rota, Indiscrete Thoughts (Boston, Birkhäuser, 1997), pp

Author : Vladimir Tasic

Release : 2001-08-30

Publisher : Oxford University Press

ISBN : 9780195349955

File Size : 28.9 MB

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This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.

Emil Artin and Helmut Hasse

Apart from his ground breaking contributions to number theory it is mainly his way
of doing (or perhaps performing) mathematics and of thinking about mathematics
that serves us as a ... 1 Indiscrete Thoughts, Boston, Basel, Berlin 1997, p. 14.

Author : Günther Frei

Release : 2014-01-16

Publisher : Springer Science & Business Media

ISBN : 3034807155

File Size : 27.43 MB

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This volume consists of the English translations of the letters exchanged between Emil Artin to Helmut Hasse written from 1921 until 1958. The letters are accompanied by extensive comments explaining the mathematical background and giving the information needed for understanding these letters. Most letters deal with class field theory and shed a light on the birth of one of its most profound results: Artin's reciprocity law.

Appraising Lakatos

Rota, G.C. (1997) Indiscrete Thoughts, ed. by F. Palombi, Boston, Birkhäuser.
Toulmin, St. (1972) Human Understanding I. General Introduction and Part I: The
Collective Use and Evolution of Concepts, Princeton, Princeton University Press.

Author : György Kampis

Release : 2013-06-29

Publisher : Springer Science & Business Media

ISBN : 9401707693

File Size : 34.72 MB

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Imre Lakatos (1922-1974) was one of the protagonists in shaping the "new philosophy of science". More than 25 years after his untimely death, it is time for a critical re-evaluation of his ideas. His main theme of locating rationality within the scientific process appears even more compelling today, after many historical case studies have revealed the cultural and societal elements within scientific practices. Recently there has been, above all, an increasing interest in Lakatos' philosophy of mathematics, which emphasises heuristics and mathematical practice over logical justification. But suitable modifications of his approach are called for in order to make it applicable to modern axiomatised theories. Pioneering historical research in England and Hungary has unearthed hitherto unknown facts about Lakatos' personal life, his wartime activities and his involvement in the political developments of post-war Europe. From a communist activist committed to Györgyi Lukács' thinking, Lakatos developed into a staunch anti-Marxist who found his intellectual background in Popper's critical rationalism. The volume also publishes for the first time a part of his Debrecen Ph.D. thesis and it is concluded by a bibliography of his Hungarian writings.

Gian-Carlo Rota on Analysis and Probability

Schwartz. In the recollections of Yale included in his Indiscrete Thoughts, Gian-
Carlo mentions the 1954 functional analysis seminar at which we met. This
seminar, in memory yet green, was organized by Nelson Dunford and addressed
by an ...

Author : Jean Dhombres

Release : 2002-12-06

Publisher : Springer Science & Business Media

ISBN : 9780817642754

File Size : 24.86 MB

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Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa per "Extension theory of differential operators I", the first paper reprinted in this volume. Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. In the 1960's, Rota was motivated by problems in fluctuation theory to study some operator identities of Glen Baxter (see [7]). Together with other problems in probability theory, this led Rota to study combinatorics. His series of papers, "On the foundations of combi natorial theory", led to a fundamental re-evaluation of the subject. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics. This was his intention all along, and his early death robbed mathematics of his unique perspective on linkages between the discrete and the continuous. Glimpses of his new research programs can be found in [2,3,6,9,10].

A M. Kir. Ferencz József-Tudományegyetem Tudományos Közleményei. Mathematikai Tudományok

64 ( 1998 ) , 325–349 Book Reviews Communicated by P. Hajnal GIAN - CARLO
ROTA , Indiscrete Thoughts , XXII + 280 pages , Birkhäuser , Basel Boston -
Berlin , 1997 . > Well , I told ye all eleven years ago to read the Discrete Thoughts
of ...

Author : József Attila Tudományegyetem

Release : 1998

Publisher :


File Size : 69.84 MB

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International mathematical news

541 ,Rojas , R . : Die Rechenmaschinen von Konrad Zuse , Springer 1998 , 221
pp . , öS 423 , 40 Rota , G . - C . : Indiscrete Thoughts , Birkhäuser 1996 , 302 pp .
, öS 497 ,Stillwell , J . : Mathematics and Its History : corr . 4th Printing , Springer ...

Author :

Release : 1998

Publisher :


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The Indiscrete Image

I noted in opening the work now closing, my prior book, Indiscretion: Finitude and
the Naming of God, moves between the question of a negative theology, which
treats the human relation to God as a naming of the unnameable or a thinking of

Author : Thomas A. Carlson

Release : 2009-05-15

Publisher : University of Chicago Press

ISBN : 0226093174

File Size : 34.28 MB

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Humanity’s creative capacity has never been more unsettling than it is at our current moment, when it has ushered us into new technological worlds that challenge the very definition of “the human.” Those anxious to safeguard the human against techno-scientific threats often appeal to religious traditions to protect the place and dignity of the human. But how well do we understand both theological tradition and today’s technological culture? In The Indiscrete Image, Thomas A. Carlson challenges our common ideas about both, arguing instead that it may be humanity’s final lack of definition that first enables, and calls for, human creativity and its correlates—including technology, tradition, and their inextricable interplay within religious existence. Framed in response to Martin Heidegger’s influential account of the relation between technological modernity and theological tradition, The Indiscrete Image builds an understanding of creativity as conditioned by insurmountable unknowing and incalculable possibility through alternative readings of Christian theological tradition and technological culture—and the surprising resonance between these two. Carlson concludes that the always ongoing work of world creation, tied essentially to human self-creation, implies neither an idol’s closure nor an icon’s transcendence, but the “indiscrete image” whose love makes possible—by keeping open—both the human and its world.

Contemporary Authors

The author sought to “ debunk the myth of monolithic personality ” with his last
book , Indiscrete Thoughts , which examined notable mathematicians . Rota was
born in Italy and immigrated to the U.S. in 1950. He graduated from Princeton ...

Author : Gale Group

Release : 2000

Publisher : Gale / Cengage Learning

ISBN : 9780787632380

File Size : 70.88 MB

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Your students and users will find biographical information on approximately 300 modern writers in this volume of Contemporary Authors®. Authors in this volume include: Mararet Ayer Barnes Alan Garner Denise Levertov Lytton Strachey

Algebra and Physics

Rota the man and Rota the highly original thinker drew from his foundations in
phenomenological thinking , namely , the ... Indiscrete Thoughts is also an
autobiographical accounting of Rota's tastes , what and whom he admired or
disliked ...

Author : Rafał Abłamowicz

Release : 2000

Publisher :

ISBN : 9783764341824

File Size : 60.53 MB

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The Bulletin of Mathematics Books

4 Indiscrete Thoughts , by Gian - Carlo Rota ... 6 What's Available in Linear
Algebra . .7 What's New in Books . 14 Software Reviews Three Technical Word
Processors 16 EXP , from Brooks / Cole Publishers MathType , from Design
Science ...

Author :

Release : 1992

Publisher :


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American Scientist

50 Indiscrete Thoughts Gian - Carlo Rota 60971 $ 26 . 00 Unweaving the
Rainbow Richard Dawkins 81606 $ 27 . 50 Impossibility John D . Barrow
MOBILE ROBOTS The Mothe r lecular Blog SYMBOLIC SPECIES O is for The
Human Genome ...

Author :

Release : 1942

Publisher :


File Size : 32.71 MB

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Humanistic Mathematics Network Journal

... Achievement Thoughts and Indiscrete Thoughts . He was working on Award at
MIT ( 1996 ) . He was appointed the Norbert a book of provocative quotations
entitled Forbidden Wiener Professor of Mathematics at MIT for a fiveThoughts at
the ...

Author :

Release : 1997

Publisher :


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Current State of Research on Mathematical Beliefs VII

General Phenomena of Mathematical Thinking Benno Artmann Mathematische
Fakultät Universität Göttingen Some ... point of view has been advocated strongly
by Gian Carlo Rota in his book , , Indiscrete Thoughts “ ( Birkhäuser 1997 ) .

Author : Markku Hannula

Release : 1998

Publisher :


File Size : 64.59 MB

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Tiivistelmä: Matemaattisten uskomusten tutkimuksen nykytila VII.

The Bulletin of Symbolic Logic

PARSONS , Platonism and mathematical intuition in Kurt Gödel ' s thought , this
BULLETIN , vol . 1 ( 1995 ) , pp . 44 – 74 . vol . 6 ( 1998 ) , pp . ... [ 91 ] — ,
Indiscrete thoughts , Birkhäuser , Boston , 1997 . [ 92 ] W . SIERPIŃSKI and A .

Author :

Release : 2006

Publisher :


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Meta Maths

Gian - Carlo Rota , Indiscrete Thoughts , Birkhäuser , 1997 • Paul Arthur Schilpp ,
Albert Einstein , Philosopher - Scientist , Open Court , 1949 . • Karl Svozil ,
Randomness & Undecidability in Physics , World Scientific , 1994 . • Vladimir
Tasić ...

Author : Gregory J. Chaitin

Release : 2006

Publisher :

ISBN : 9781843545248

File Size : 74.76 MB

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Meta Maths is the story of Chaitin's revolutionary discovery: [OMEGA] is otherwise known as the Omega number. The Omega number is Chaitin's representation of the profound enigma at the heart of maths, which sheds light on the very nature of life itself. Chaitin demonstrates that mathematics is as much art as logic and as much science as pure reasoning. His book is a thrilling journey to the frontiers of mathematics and a celebration of its sheer beauty.

Meta Math!

Gian - Carlo Rota , Indiscrete Thoughts , Birkhäuser , 1997 . • Paul Arthur Schilpp
, Albert Einstein , Philosopher - Scientist , Open Court , 1949 . • Karl Svozil ,
Randomness & Undecidability in Physics , World Scientific , 1994 . • Vladimir
Tasić ...

Author : Gregory J. Chaitin

Release : 2005

Publisher : Pantheon


File Size : 22.69 MB

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Explores the enigmas, paradoxes, and random qualities that exist within the field of mathematics and discusses the author's groundbreaking discovery of the Omega number, a complex representation of unknowability.


He held the unique title of Professor of Applied Mathematics and Philosophy ,
had published a collection of thoughtprovoking essays called Indiscrete
Thoughts , and was one of MIT ' s most popular teachers . What a pity his lectures
were not ...

Author : Joel Segel

Release : 2009-01-03

Publisher : A K Peters/CRC Press


File Size : 48.18 MB

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"The mathematics department at the Massachusetts Institute of Technology is regularly ranked one of the top mathematics departments in the United States. This lively oral history captures a generation of mathematicians who made that rise to prominence possible. It traces the development of thirteen individuals for whom mathematics was the pursuit of a lifetime. They remember their first attraction to mathematics and describe the inspiration of past giants in the field: Emil Artin, Alonzo Church, Paul Erdos, Alexander Grothendiek, Peter Lax, Solomon Lefschetz, James Lighthill, Marshall Stone, Oscar Zariski. They recount the unfolding of their careers, from early interests through unexpected professional turns, including the challenges and rewards of teaching and service to the mathematics community as a whole." --Book Jacket.