Proof, Logic, and Formalization
Michael Detlefsen (ed.)
Routledge (1992)
| Abstract | Proof, Logic and Formalization addresses the various problems associated with finding a philosophically satisfying account of mathematical proof. It brings together many of the most notable figures currently writing on this issue in an attempt to explain why it is that mathematical proof is given prominence over other forms of mathematical justification. The difficulties that arise in accounts of proof range from the rightful role of logical inference and formalization to questions concerning the place of experience in proof and the possibility of eliminating impredictive reasoning from proof. Students and lecturers of philosophy, philosophy of logic, and philosophy of mathematics will find this to be essential reading. A companion volume entitled Proof and Logic in Mathematics is also available from Routledge. | |||||||||
| Keywords | Proof theory Logic, Symbolic and mathematical | |||||||||
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| Buy the book | $114.98 used (23% off) $123.28 new (17% off) $148.00 direct from Amazon Amazon page | |||||||||
| Call number | QA9.54.P77 1991 | |||||||||
| ISBN(s) | 0415023351 9780415023351 | |||||||||
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| Through your library | Configure |
A. S. Troelstra (2000). Basic Proof Theory. Cambridge University Press.
Michael Detlefsen (1993). Poincaré Vs. Russell on the Rôle of Logic in Mathematicst. Philosophia Mathematica 1 (1):24-49.
Andrew Aberdein (2006). Proofs and Rebuttals: Applying Stephen Toulmin's Layout of Arguments to Mathematical Proof. In Marta Bílková & Ondřej Tomala (eds.), The Logica Yearbook 2005. Filosofia.
Dag Prawitz (1965/2006). Natural Deduction: A Proof-Theoretical Study. Dover Publications.
David J. Pym (2004). Reductive Logic and Proof-Search: Proof Theory, Semantics, and Control. Oxford University Press.
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