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Cantorian Set Theory and Limitation of Size

1986 Mathematics
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Release : 1986
Genre : Mathematics
Kind : eBook
Book Rating : 835/5 ( reviews)

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Book Synopsis Cantorian Set Theory and Limitation of Size by : Michael Hallett

Download or read book Cantorian Set Theory and Limitation of Size written by Michael Hallett. This book was released on 1986. Available in PDF, EPUB and Kindle. Book excerpt: Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.

Set Theory, Logic and Their Limitations

1996-05-23 Mathematics
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Release : 1996-05-23
Genre : Mathematics
Kind : eBook
Book Rating : 981/5 ( reviews)

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Book Synopsis Set Theory, Logic and Their Limitations by : Moshe Machover

Download or read book Set Theory, Logic and Their Limitations written by Moshe Machover. This book was released on 1996-05-23. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

The Philosophy of Set Theory

2012-03-08 Mathematics
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Release : 2012-03-08
Genre : Mathematics
Kind : eBook
Book Rating : 550/5 ( reviews)

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Book Synopsis The Philosophy of Set Theory by : Mary Tiles

Download or read book The Philosophy of Set Theory written by Mary Tiles. This book was released on 2012-03-08. Available in PDF, EPUB and Kindle. Book excerpt: DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div

The Oxford Companion to Philosophy

2005-03-10 Philosophy
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Release : 2005-03-10
Genre : Philosophy
Kind : eBook
Book Rating : 478/5 ( reviews)

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Book Synopsis The Oxford Companion to Philosophy by : Ted Honderich

Download or read book The Oxford Companion to Philosophy written by Ted Honderich. This book was released on 2005-03-10. Available in PDF, EPUB and Kindle. Book excerpt: Oxford University Press presents a major new edition of the definitive philosophical reference work for readers at all levels. For ten years the original volume has served as a stimulating introduction for general readers and as an indispensable guide for students; its breadth and depth of coverage have ensured that it is also read with pleasure and interest by those working at a higher level in philosophy and related disciplines. A distinguished international assembly of 249 philosophers contributed almost 2,000 entries, and many of these have now been considerably revised and updated; to these are added over 300 brand-new pieces on a fascinating range of current topics. This new edition offers enlightening and enjoyable discussions of all aspects of philosophy, and of the lives and work of the great philosophers from antiquity to the present day.

Pillars of Computer Science

2008-02-08 Computers
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Release : 2008-02-08
Genre : Computers
Kind : eBook
Book Rating : 277/5 ( reviews)

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Book Synopsis Pillars of Computer Science by : Arnon Avron

Download or read book Pillars of Computer Science written by Arnon Avron. This book was released on 2008-02-08. Available in PDF, EPUB and Kindle. Book excerpt: For over half a century, Boris (Boaz) Trakhtenbrot has made seminal contributions to virtually all of the central areas of theoretical computer science. This festschrift volume readily illustrates the profound influence he has had on the field.

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