David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Cambridge University Press (1976)
Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.
|Keywords||Mathematics Philosophy Logic, Symbolic and mathematical|
|Categories||categorize this paper)|
|Buy the book||$35.12 used (37% off) $39.92 new (28% off) $48.46 direct from Amazon (12% off) Amazon page|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Antony Eagle (2008). Mathematics and Conceptual Analysis. Synthese 161 (1):67–88.
Philip Kitcher (2011). Epistemology Without History is Blind. Erkenntnis 75 (3):505-524.
Ken Binmore (1987). Modeling Rational Players: Part I. Economics and Philosophy 3 (02):179-.
Alexander S. Harper (2012). An Oblique Epistemic Defence of Conceptual Analysis. Metaphilosophy 43 (3):235-256.
Chris Mortensen (1989). Anything is Possible. Erkenntnis 30 (3):319 - 337.
Similar books and articles
Joel W. Robbin (1969/2006). Mathematical Logic: A First Course. Dover Publications.
Daniel J. Velleman (2006). How to Prove It: A Structured Approach. Cambridge University Press.
G. T. Kneebone (1963/2001). Mathematical Logic and the Foundations of Mathematics: An Introductory Survey. Dover.
E. Glas (2001). The 'Popperian Programme' and Mathematics - Part II: From Quasi-Empiricism to Mathematical Research Programmes. Studies in History and Philosophy of Science Part A 32 (2):355-376.
J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..
Olga Kiss (2006). Heuristic, Methodology or Logic of Discovery? Lakatos on Patterns of Thinking. Perspectives on Science 14 (3):302-317.
Added to index2009-01-28
Total downloads56 ( #31,710 of 1,140,096 )
Recent downloads (6 months)11 ( #18,257 of 1,140,096 )
How can I increase my downloads?