Lakatos' Philosophy of Mathematics: A Historical Approach
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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|
|Categories||categorize this paper)|
|Buy the book||$21.88 used (85% off) Amazon page|
|Call number||QA8.4.K64 1991|
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
Brendan Larvor (2008). What Can the Philosophy of Mathematics Learn From the History of Mathematics? Erkenntnis 68 (3):393 - 407.
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.
Similar books and articles
Stewart Shapiro (2000). Thinking About Mathematics: The Philosophy of Mathematics. Oxford University Press.
Imre Lakatos (1976). Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge University Press.
Corfield David (1998). Beyond the Methodology of Mathematics Research Programmes. Philosophia Mathematica 6 (3):272-301.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
José Ferreirós Domínguez & Jeremy Gray (eds.) (2006). The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press.
Paul Ernest (1997). The Legacy of Lakatos: Reconceptualising the Philosophy of Mathematics. Philosophia Mathematica 5 (2):116-134.
Brendan P. Larvor (1997). Lakatos as Historian of Mathematics. Philosophia Mathematica 5 (1):42-64.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Recent downloads (6 months)0
How can I increase my downloads?