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  • 1
    Online Resource
    Online Resource
    Cambridge : Cambridge University Press
    Format: 1 Online-Ressource (viii, 600 pages) , digital, PDF file(s)
    Edition: Second edition
    ISBN: 9781139171519 , 9780521227964
    Content: 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
    Note: 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
    Additional Edition: Print version
    Language: English
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