Philosophy of Mathematics [1 ed.] 0444515550, 9780444515551, 9780080930589, 0080930581

One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowle

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Philosophy of Mathematics [1 ed.]
 0444515550, 9780444515551, 9780080930589, 0080930581

Table of contents :
Content: Preface / Andrew D. Irvine --
Les liaisons dangereuses / W.D. Hart --
Realism and a nit-realism in mathematics / Mark Balaguer --
Aristotelian realism / James Franklin --
Empiricism in the philosophy of mathematics / David Bostock --
A Kantian perspective on the philosophy of mathematics / Mary Tiles --
Logicism / Jaakko Hintikka --
Formalism / Peter Simons --
Constructivism in mathematics / Charles McCarty --
Fictionalism / Daniel Bonevac --
Set theory from Cantor to Cohen / Akihiro Kanamori --
Alternative set theories / Peter Apostoli, et. al. --
Philosophies of probability / Jon Williamson --
On computability / Wilfried Sieg --
Inconsistent mathematics / Chris Mortensen --
Mathematics and the world / Mark Colyvan.

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