Lakatos' Philosophy of Mathematics: A Historical Approach
Distributors for the U.S. And Canada, Elsevier Science Pub. Co. (1991)
| Abstract | 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 | ||||||||||
| Buy the book | Amazon page | |||||||||
| Call number | QA8.4.K64 1991 | |||||||||
| ISBN(s) | 0444889442 | |||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,672 |
| External links | This entry has no external links. Add one. |
| Through your library | Configure |
Similar books and articlesStewart 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.
Analytics
Monthly downloads
Sorry, there are not enough data points to plot this chart.
|
Added to index2009-01-28Total downloads0Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
