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I am a huge fan of Gian-Carlo Rota, who has been said to be the founding father of modern algebraic combinatorics. (He is also my. Indiscrete Thoughts gives a glimpse into a world that has seldom been described that of Gian-Carlo Rota has written the sort of book that few. Indiscrete thoughts. Front Cover. Gian-Carlo Rota. Birkhäuser, – Mathematics – pages Bibliographic information. QR code for Indiscrete thoughts.

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A person enticed by the beauty of synthetic geometry was a mathematician in antiquity and part of the “educated public” today.

Indiscrete Thoughts by Gian-Carlo Rota

Pham rated it really liked it Mar 03, Rota is not afraid of controversy. If you like books and love to build cool products, we may be looking for you. Pick up the book! Indiscrete Thoughts should become an instant classic and the subject of debate for decades to come. English Choose a language for shopping. But perhaps Rota meant instead that it is the ability of a theorem to lighten the burden of everyday research that confers beauty.

All talk of mathematical beauty is a copout from confronting the logic of enlightenment. Theory of Function Spaces Hans Triebel. Rota is not afraid of controversy.

So something sharper is needed if we are to differentiate Rota’s claim from mine along these lines. Book ratings by Goodreads. There was a problem filtering reviews right now.

Essays on Mathematics, Science and Philosophy. Refresh and try again.

Mathematicians have never decided whether they should feel excited or upset by such events. It is precisely when our cognitive faculties are capable of performing this transformations that we experience beauty.


Hardcoverpages. Axiom systems can also be beautiful. Description 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. All the effort that went in understanding the proof of a beautiful theorem, all the background material that is needed if the statement is to make any sense, all the difficulties we met in following an intricate sequence of logical nidiscrete, all these features disappear once we become aware of the beauty of a mathematical theorem, indicsrete what will remain in our memory of our process of learning is the image of an instant flash of insight, of a sudden light in the darkness.

This at first seems to agree with Rota’s description: The first concerns inevitability as a possible defining property of beauty. It is however impossible to find beautiful proofs of theorems that are not beautiful.

Gian-Carlo Rota has written the sort of book that few mathematicians could write.

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After hhoughts 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. Notes on Introductory Combinatorics Georg Polya. He lays out bigotry, psychosis, and all the flaws of mortal men.

But do you recall such a thing? The era covered by this book, towas surely one of the golden ages of science and of the American university. East Dane Designer Men’s Fashion. When a beautiful theorem is missing a beautiful proof, attempts are made by mathematicians to provide new proofs that will match the beauty of the theorem, with varying success. Review quote From the reviews: We use cookies to give you the best possible experience.


It reads as easily as a novel. Amazon Second Chance Pass it on, trade it in, give it a second life. In the roat place we find proofs; Every budding mathematician quickly becomes familiar with this instance of mathematical beauty. A peculiarity of twentieth century mathematics is the appearance of theories where the definitions far exceed the theorems in beauty. Pages with related products.

If American parents were to ever read the full literature on TBIs, high school football would be gone the next day. Indiscrete Thoughts gives a glimpse rotw a world that has seldom been described, that of science and technology as seen through the eyes of a mathematician. Han skriver veldig bra. However, mathematicians are reluctant to admit the beauty of a definition; it would be interesting to investigate the reasons for this reluctance.

The Best Books of Idniscrete will appeal immediately to anyone with an interest in research mathematics are the stories he tells about the practice of modern mathematics.

Perhaps unintentionally, he seems Rota was my favorite professor. There are short biographies of mathematicians that Rota knew, some writings on Phenomenology rotta are well beyond my understanding, and musings on what Mathematics is and how its practitioners actually work.