Vienna Circle Institute Library

Mathematics, Methodology, and the Man

By: GyÃ¶rgy Kampis (Editor), Ladislav Kvasz (Editor), Michael Stoeltzner (Editor)

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Hardcover | 31 March 2002

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400 Pages

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24.13 x 16.51 x 2.54

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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 Gy¶rgyi Luk¡cs' 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.

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Introduction	p. ix
In Defence of Scientific Rationality
The Propositional Content of the Popper-Lakatos Rift	p. 3
Lakatos' Criticisms of Popper	p. 13
Professor Lakatos Between the Hegelian Devil and the Popperian Deep Blue Sea	p. 23
Explaining Scientific Progress: Lakatos' Methodological Account of Kuhnian Patterns of Theory Change	p. 53
Lakatos, Reason and History	p. 73
"Heuristic Power" and the "Logic of Scientific Discovery": Why the Methodology of Scientific Research Programmes is Less Than Half the Story	p. 85
Lakatos on Crucial Experiments and the History of Interpretations of Quantum Mechanics	p. 101
Underway to a Philosophy of Contemporary Mathematics
Argumentation and the Mathematical Process	p. 115
Towards an Evolutionary Account of Conceptual Change in Mathematics: Proofs and Refutations and the Axiomatic Variation of Concepts	p. 139
What Lakatos Could Teach the Mathematical Physicist	p. 157
Lakatos' Mitigated Scepticism in the Philosophy of Mathematics	p. 189
Lakatos' Methodology Between Logic and Dialectic	p. 211
Mathematical Heuristic--Lakatos and Polya	p. 243
Lakatos and Aspects of Mathematics Education	p. 255
Life and Politics
The Unforgiven: Imre Lakatos' Life in Hungary	p. 263
Lakatos and Lukacs	p. 303
Lakatos' Political Reawakening	p. 339
Imre Lakatos' Hungarian Dissertation
A Documentation Arranged	p. 353
Lakatos' Hungarian Papers Between 1946-1956	p. 375
Index of Names	p. 377
Table of Contents provided by Syndetics. All Rights Reserved.

Vienna Circle Institute Library

Mathematics, Methodology, and the Man

At a Glance

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