Lakatos' Philosophy of Mathematics
Author | : T. Koetsier |
Publisher | : North Holland |
Total Pages | : 336 |
Release | : 1991 |
ISBN-10 | : UOM:39015025243067 |
ISBN-13 | : |
Rating | : 4/5 (67 Downloads) |
Download or read book Lakatos' Philosophy of Mathematics written by T. Koetsier and published by North Holland. This book was released on 1991 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. 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.