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008			110323s2011 ne | s |||| 0|eng d
020			_a9789400704312 _9978-94-007-0431-2
040			_cMX-MeUAM
050		4	_aQA8.9-10.3
082	0	4	_a511.3 _223
100	1		_aSommaruga, Giovanni. _eeditor.
245	1	0	_aFoundational Theories of Classical and Constructive Mathematics _h[recurso electrónico] / _cedited by Giovanni Sommaruga.
264		1	_aDordrecht : _bSpringer Netherlands : _bImprint: Springer, _c2011.
300			_aXII, 316 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aThe Western Ontario Series in Philosophy of Science, _x1566-659X ; _v76
505	0		_aIntroduction : Giovanni Sommaruga Part I: Senses of ‚foundations of mathematics’ Bob Hale, The Problem of Mathematical Objects Goeffrey Hellman, Foundational Frameworks Penelope Maddy, Set Theory as a Foundation Stewart Shapiro, Foundations, Foundationalism, and Category Theory -- Part II: Foundations of classical mathematics Steve Awodey, From Sets to Types, to Categories, to Sets Solomon Feferman, Enriched Stratified Systems for the Foundations of Category TheoryColin McLarty, Recent Debate over Categorical Foundations -- 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 -- Part IV: Foundations of constructive mathematics Peter Aczel, Local Constructive Set Theory and Inductive Definitions David McCarty, Proofs and Constructions John Mayberry, Euclidean Arithmetic: The Finitary Theory of Finite Sets, Paul Taylor, Foundations for Computable Topology Richard Tieszen, Intentionality, Intuition, and Proof in Mathematics.
520			_aThe 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.
650		0	_aMathematics.
650		0	_aLogic.
650		0	_aScience _xPhilosophy.
650		0	_aLogic, Symbolic and mathematical.
650	1	4	_aMathematics.
650	2	4	_aMathematical Logic and Foundations.
650	2	4	_aPhilosophy of Science.
650	2	4	_aLogic.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9789400704305
830		0	_aThe Western Ontario Series in Philosophy of Science, _x1566-659X ; _v76
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-94-007-0431-2
596			_a19
942			_cLIBRO_ELEC
999			_c206193 _d206193