Philosophy of mathematics : selected readings /

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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 Brouw...

Ausführliche Beschreibung

Gespeichert in:
Weitere Titel:
Symposium on the foundations of mathematics --
The logicist foundations of mathematics /
The intuitionist foundations of mathematics /
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 /
Hauptverfasser:
Benacerraf, Paul, Putnam, Hilary
Weitere Verfasser:
Benacerraf, Paul (HerausgeberIn), Putnam, Hilary (HerausgeberIn)
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Cambridge : Cambridge University Press, 1983.
Ausgabe:
Second edition.
Zusammenfassung:
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.
Umfang:
1 online resource (viii, 600 pages) : digital, PDF file(s).
Anmerkungen:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
ISBN:
9781139171519 (ebook)
DOI:
10.1017/CBO9781139171519
Schlagworte:
Mathematics > Philosophy.
Bezugswerke:
Links: