Wittgenstein's Philosophy of Mathematics
Routledge (1994)
| Abstract | Wittgenstein played a vital role in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, Pasquale Frascolla examines the three phases of Wittgenstein's reflections on mathematics, considering them as a progressive whole rather than as separate entities. Frascolla discusses the development of Wittgenstein's views on mathematics from the Tractatus up to 1944. He looks at the presentation of arithmetic in the theory of logical operations, the presence of a strong verificationist orientation and the rule-following considerations in Wittgenstein's writings. Frascolla identifies a unifying key--a "quasi-formalism"--to the development of Wittgenstein's reflections on mathematics. | |||||||||
| Keywords | Mathematics Philosophy | |||||||||
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| Buy the book | $99.95 used (29% off) $122.45 new (17% off) $147.00 direct from Amazon Amazon page | |||||||||
| Call number | QA8.4.F7 1994 | |||||||||
| ISBN(s) | 0415024838 9780415024839 | |||||||||
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Cyrus Panjvani (2006). Wittgenstein and Strong Mathematical Verificationism. Philosophical Quarterly 56 (224):406–425.
Crispin Wright (1980). Wittgenstein on the Foundations of Mathematics. Harvard University Press.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Charles Sayward (2005). A Wittgensteinian Philosophy of Mathematics. Logic and Logical Philosophy 15:55-69.
Hilary Putnam (1996). On Wittgenstein's Philosophy of Mathematics. Aristotelian Society Supplementary Volume 70 (70):243-264.
Steve Gerrard (1991). Wittgenstein's Philosophies of Mathematics. Synthese 87 (1):125-142.
Mathieu Marion (1998). Wittgenstein, Finitism, and the Foundations of Mathematics. Oxford University Press.
Wenceslao J. Gonzalez (1991). Intuitionistic Mathematics and Wittgenstein. History and Philosophy of Logic 12 (2):167-183.
Pasquale Frascolla (2001). Philosophy of Mathematics. In Hans--Johann Glock (ed.), Wittgenstein: A Critical Reader. Blackwell.
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