Appraising Lakatos: Mathematics, Methodology, and the Man

ISBN-13: 9789048159222 / Angielski / Miękka / 2010 / 382 str.

Gyorgy Kampis; L. Kvasz; Michael Stoltzner

Opis

Imre Lakatos (1922-1974) was one of the protagonists in shaping the "new philosophy of science." More than 25 years after his untimely death, it is time for a critical re-evaluation of his ideas. His main theme of locating rationality within the scientific process appears even more compelling today, after many historical case studies have revealed the cultural and societal elements within scientific practices. Recently there has been, above all, an increasing interest in Lakatos' philosophy of mathematics, which emphasises heuristics and mathematical practice over logical justification. But suitable modifications of his approach are called for in order to make it applicable to modern axiomatised theories. Pioneering historical research in England and Hungary has unearthed hitherto unknown facts about Lakatos' personal life, his wartime activities and his involvement in the political developments of post-war Europe. From a communist activist committed to Gyorgyi Lukacs' thinking, Lakatos developed into a staunch anti-Marxist who found his intellectual background in Popper's critical rationalism. The volume also publishes for the first time a part of his Debrecen Ph.D. thesis and it is concluded by a bibliography of his Hungarian writings.

Spis treści

Introduction. I: In Defence of Scientific Rationality. The Propositional Content of the Popper-Lakatos Rift; J. Watkins (deceased). Lakatos' Criticism of Popper; D. Gillies. Professor Lakatos between the Hegelian Devil and the Popperian Deep Blue Sea; M. Motterlini. Explaining Scientific Progress: Lakatos's Methodological Account of Kuhnian Patterns of Theory Change; M. Carrier. Lakatos, Reason and History; G. Forrai. `Heuristic Power' and the `Logic of Scientific Discovery': why MSRP is less than half the answer; J. Worrall. Lakatos on Crucial Experiments and the History of Interpretations of Quantum Mechanics; P. Szegedi. II: Underway to a Philosophy of Contemporary Mathematics. Argumentation and the Mathematical Process; D. Corfield. Towards an Evolutionary Account of Conceptuel Change in Mathematics: Proofs and Refutations and the Axiomatic Variation of Concepts; T. Mormann. What Lakatos Could Teach the Mathematical Physicist; M. Stöltzner. Lakatos' Epistemology of Mathematics; T. Koetsier. Lakatos' Methdology between Logic and Dialectic; L. Kvasz. Mathematical Heuristic - Lakatos and Pólya; O. Kiss. Lakatos and Aspects of Mathematics Education; H.-C. Reichel. III: Life and Politics. `The Unforgiven'. Imre Lakatos Life in Hungary; J. Long. Lakatos and Lukacs; L. Rpolyi. Lakatos's Political Rewakening; L. Congdon. IV: Imre Lakatos's Hungarian Dissertation. A Documentation arranged by Gábor Kutrovátz. V: Bibliography: Lakatos' Hungarian papers between 1946-1956.