Synthese 88 (2):229 - 277 (1991)
I propose to sketch my views on several aspects of the philosophy of mathematics that I take to be especially relevant to philosophy as a whole. The relevance of my discussion would, I think, become more evident, if the reader keeps in mind the function of (the philosophy of) mathematics in philosophy in providing us with more transparent aspects of general issues. I shall consider: (1) three familiar examples; (2) logic and our conceptual frame; (3) communal agreement and objective certainty; (4) the transcommunal universality of mathematics; (5) the big jump to the potential infinite; (6) the reconciliation of local creation with the hypothesis of discovery; (7) Platonism as realism plus conceptualism; (8) foundational studies and mathematical practice; and (9) the decomposition of philosophical disagreements. The views of Gödel and Wittgenstein are emphasized in order to add specificity to the discussions.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
Citations of this work BETA
Misunderstanding Gödel: New Arguments About Wittgenstein and New Remarks by Wittgenstein.Victor Rodych - 2003 - Dialectica 57 (3):279–313.
Similar books and articles
Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures.James Robert Brown - 1999 - Routledge.
Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures.James Robert Brown - 2008 - Routledge.
Hao Wang as Philosopher and Interpreter of Gödel.Charles Parsons - 1998 - Philosophia Mathematica 6 (1):3-24.
Gödel and 'the Objective Existence' of Mathematical Objects.Pierre Cassou-Noguès - 2005 - History and Philosophy of Logic 26 (3):211-228.
Gödel, Kant, and the Path of a Science.Srećko Kovač - 2008 - Inquiry : An Interdisciplinary Journal of Philosophy 51 (2):147-169.
Prose Versus Proof: Wittgenstein on Gödel, Tarski and Truth.Juliet Floyd - 2001 - Philosophia Mathematica 9 (3):280-307.
On Some Much Maligned Remarks of Wittgenstein on Gödel.Charles Sayward - 2001 - Philosophical Investigations 24 (3):262–270.
The Gödel Paradox and Wittgenstein's Reasons.Francesco Berto - 2009 - Philosophia Mathematica 17 (2):208-219.
Wittgenstein as His Own Worst Enemy: The Case of Gödel's Theorem.Mark Steiner - 2001 - Philosophia Mathematica 9 (3):257-279.
Added to index2009-01-28
Total downloads57 ( #89,492 of 2,152,538 )
Recent downloads (6 months)10 ( #66,404 of 2,152,538 )
How can I increase my downloads?