UID:
almahu_9947414621202882
Umfang:
1 online resource (viii, 600 pages) :
,
digital, PDF file(s).
Ausgabe:
Second edition.
ISBN:
9781139171519 (ebook)
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 --
,
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 /
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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.:
Print version: ISBN 9780521227964
Sprache:
Englisch
URL:
https://doi.org/10.1017/CBO9781139171519
URL:
https://doi.org/10.1017/CBO9781139171519
