Lakatos' Philosophy of Mathematics: A Historical Approach
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Distributors for the U.S. And Canada, Elsevier Science Pub. Co. (1991)
In this book, which is both a philosophical and historiographical study, the author investigates the fallibility and the rationality of mathematics by means of rational reconstructions of developments in mathematics. The initial chapters are devoted to a critical discussion of Lakatos' philosophy of mathematics. In the remaining chapters several episodes in the history of mathematics are discussed, such as the appearance of deduction in Greek mathematics and the transition from Eighteenth-Century to Nineteenth-Century analysis. The author aims at developing a notion of mathematical rationality that agrees with the historical facts. A modified version of Lakatos' methodology is proposed. The resulting constructions show that mathematical knowledge is fallible, but that its fallibility is remarkably weak.
|Keywords||Mathematics Philosophy Mathematics History|
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|Buy the book||$380.00 used $999.11 new Amazon page|
|Call number||QA8.4.K64 1991|
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Citations of this work BETA
Karin Katz & Mikhail Katz (2012). A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography. Foundations of Science 17 (1):51-89.
D. Corfield (1997). Assaying Lakatos's Philosophy of Mathematics. Studies in History and Philosophy of Science Part A 28 (1):99-121.
Michael Otte (2006). Proof-Analysis and Continuity. Foundations of Science 11 (1-2):121-155.
Brendan Larvor (2008). What Can the Philosophy of Mathematics Learn From the History of Mathematics? Erkenntnis 68 (3):393 - 407.
Olga Kiss (2006). Heuristic, Methodology or Logic of Discovery? Lakatos on Patterns of Thinking. Perspectives on Science 14 (3):302-317.
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