# Foundational Theories of Classical and Constructive Mathematics (The Western Ontario Series in Philosophy of Science) ePub download

## by Giovanni Sommaruga

**Author:**Giovanni Sommaruga**ISBN:**9400704305**ISBN13:**978-9400704305**ePub:**1393 kb |**FB2:**1616 kb**Language:**English**Category:**Mathematics**Publisher:**Springer; 2011 edition (April 6, 2011)**Pages:**316**Rating:**4.6/5**Votes:**307**Format:**mobi azw mobi txt

Электронная книга "Foundational Theories of Classical and Constructive Mathematics", Giovanni Sommaruga.

Электронная книга "Foundational Theories of Classical and Constructive Mathematics", Giovanni Sommaruga. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Foundational Theories of Classical and Constructive Mathematics" для чтения в офлайн-режиме.

The book Foundational Theories of Classical and Constructive Mathematics is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are onal theories of classical mathematics of a different nature compared to those of constructive mathematics?

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Описание: The book Foundational Theories of Classical and Constructive Mathematics is a book on the classical topic of foundations of mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are onal theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp.

In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a mathematical object to prove that it exists. In classical mathematics, one can prove the existence of a mathematical object without "finding" that object explicitly, by assuming its non-existence and then deriving a contradiction from that assumption. This proof by contradiction is not constructively valid.

Similar books and articles. Giovanni Sommaruga (E., Foundational Theories of Classical and Constructive Mathematics, Springer, The Western Ontario Series in Philosophy of Science, Vol. 76, 2011, Pp. Xi+314. Giovanni Sommaruga, Ed. Foundational Theories of Classical and Constructive Mathematics.

Late, Department of Philosophy, University of Western Ontario, Canada. JEFFREY BUB, University of Maryland.

Philosophy & Social Aspect Science Books. Walmart 9789400704305. This button opens a dialog that displays additional images for this product with the option to zoom in or out. Tell us if something is incorrect.

Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors .

Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal.

The Western Ontario Series in Philosophy of Science 7. Part III: Between foundations of classical and foundations of constructive mathematics John Bell, The Axiom of Choice in the Foundations of Mathematics Ji. .

The Western Ontario Series in Philosophy of Science 76. Price: 13. 0. Part III: Between foundations of classical and foundations of constructive mathematics John Bell, The Axiom of Choice in the Foundations of Mathematics Jim Lambek and Phil Scott, Reflections on a Categorical Foundations of Mathematics.

The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of foundational theories? etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time more subtle and more differentiated. Another important aspect of the book is that some of its contributions are of a more philosophical, others of a more technical nature. This double face is emphasized, since foundations of mathematics is an eminent topic in the philosophy of mathematics: hence both sides of this discipline ought to be and are being paid due to.