Umfang:
1 Online-Ressource (viii, 600 pages)
,
digital, PDF file(s)
Ausgabe:
Second edition
Ausgabe:
1983
ISBN:
9781139171519
Inhalt:
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
,
Symposium on the foundations of mathematics ; 1. The logicist foundations of mathematics
,
2. The intuitionist foundations of mathematics
,
3. The formalist foundations of mathematics
,
Disputation
,
Intuitionism and formalism
,
Consciousness, philosophy, and mathematics
,
The philosophical basis of intuitionistic logic
,
The concept of number
,
Selections from Introduction to mathematical philosophy
,
On the infinite
,
Remarks on the definition and nature of mathematics
,
Hilbert's programme
,
Empiricism, semantics, and ontology
,
On platonism in mathematics
,
What numbers could not be
,
Mathematics without foundations
,
The a priori
,
Truth by convention
,
Carnap and logical truth
,
On the nature of mathematical reasoning
,
Mathematical truth
,
Models and reality
,
Russell's mathematical logic
,
What is Cantor's continuum problem?
,
The iterative concept of set
,
What is the iterative conception of set?
,
The concept of set
Weitere Ausg.:
ISBN 9780521227964
Weitere Ausg.:
ISBN 9780521296489
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Benacerraf, Paul, 1931 - Philosophy of mathematics Cambridge [u.a.] : Cambridge Univ. Pr., 1983 ISBN 0521227968
Weitere Ausg.:
ISBN 052129648X
Sprache:
Englisch
Fachgebiete:
Mathematik
,
Philosophie
Schlagwort(e):
Mathematik
;
Grundlage
;
Mathematik
;
Philosophie
;
Aufsatzsammlung
DOI:
10.1017/CBO9781139171519
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Putnam, Hilary 1926-2016
