ENGLISH

Foundational Theories of Classical and Constructive Mathematics

By Giovanni Sommaruga (eds.) , Geoffrey Hellman* (auth.)

Book information

Publisher
Springer Netherlands
Year
2011
ISBN
9400704305, 9789400704305
DOI
10.1007/978-94-007-0431-2
ISSN
1566-659X
Google Books ID
wmJCf3d8HBUC
Language
english
Format
PDF
Filesize
5 MB (5756724 bytes)
Series
The Western Ontario Series in Philosophy of Science 76
Edition
1
Pages
316\327
Orientation
yes
Scanned
no
Time added
2011-08-31 04:54:40
Mathematical Logic and Foundations; Philosophy of

Description

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 foundations? Etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of 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.

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