Philosophy of mathematics : selected readings / edited by Paul Benacerraf, Hilary Putnam

Putnam, Hilary *1926-2016* [HerausgeberIn] ; Benacerraf, Paul *1931-* [HerausgeberIn]

Second edition

Englisch

Cambridge : Cambridge University Press, June 2012

1 Online-Ressource (viii, 600 pages) : digital, PDF file(s)

Title from publisher's bibliographic system (viewed on 05 Oct 2015)

Erscheint auch als: Druck-Ausgabe- Benacerraf, Paul *1931-*: Philosophy of mathematics. - Cambridge [u.a.] : Cambridge Univ. Pr., 1983. - VIII,600 S

978-1-139-17151-9 : ebook

Weitere Ausgaben: 978-0-521-22796-4 (Druckausgabe) : hardback, 978-0-521-29648-9 (Druckausgabe) : paperback

DOI: 10.1017/CBO9781139171519

Symposium on the foundations of mathematics ; 1. The logicist foundations of mathematics / Rudolf Carnap

2. The intuitionist foundations of mathematics / Arend Heyting

3. The formalist foundations of mathematics / Johann Von Neumann

Disputation / Arend Heyting

Intuitionism and formalism / L.E.J. Brouwer

Consciousness, philosophy, and mathematics / L.E.J. Brouwer

The philosophical basis of intuitionistic logic / Michael Dummett

The concept of number / Gottlob Frege

Selections from Introduction to mathematical philosophy / Bertrand Russell

On the infinite / David Hilbert

Remarks on the definition and nature of mathematics / Haskell B. Curry

Hilbert's programme / Georg Kreisel

Empiricism, semantics, and ontology / Rudolf Carnap

On platonism in mathematics / Paul Bernays

What numbers could not be / Paul Benacerraf

Mathematics without foundations / Hilary Putnam

The a priori / Alfred Jules Ayer

Truth by convention / W.V. Quine

Carnap and logical truth / W.V. Quine

On the nature of mathematical reasoning / Henri Poincare

Mathematical truth / Paul Benacerraf

Models and reality / Hilary Putnam

Russell's mathematical logic / Kurt Gödel

What is Cantor's continuum problem? / Kurt Gödel

The iterative concept of set / George Boolos

What is the iterative conception of set? / Charles Parsons

The concept of set / Hao Wang.

*Mathematik / Grundlage

*Mathematik / Philosophie

*Mathematics -- Philosophy

*Mathematik ; Philosophie ; Logik ; Erkenntnistheorie ; Mathematics ; Philosophy

Klassifikation der Library of Congress: QA8.4

Dewey Dezimal-Klassifikation: 510/.1

Regensburger Verbund-Klassifikation: CC 2600: CA-CK Philosophie / CC Systematische Philosophie / Abhandlungen zur Logik und mathematischen Grundlagenforschung

Regensburger Verbund-Klassifikation: SG 700: SA-SP Mathematik / SG Biografien, Geschichte und Philosophie der Mathematik / Philosophie und Mathematik

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

 

1983

Elektronische Ressource - Nutzung mit Bibliotheksausweis der Staatsbibliothek zu Berlin

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