Mathematics and the Image of Reason
Routledge (1991)
| Abstract | As science has become more heavily mathematical and as computers continue to infiltrate life in affluent societies, the philosopher's concern with mathematics has, paradoxically, dwindled. It has come to be tacitly presumed that mathematics is nothing but logic. Concentrating on three key figures in the philosophy of mathematics--Frege, Russell, and Hilbert--Mary Tiles seeks to dispel the misconception that scientific rationality and the character of reason is merely pure logic --and therefore inherently at odds with imagination. Tiles argues against those who see mathematics as uncreative and irrelevant to our postmodern, post-structuralist age. Mary Tiles writes in a lively, refreshingly non-technical style and succeeds in combining the highest degree of rigor with imagination and insight to provide a valuable book for students of the philosophy of logic and mathematics, epistemology, as well as for philosophically minded mathematicians and computer scientists. | |||||||||
| Keywords | Mathematics Philosophy | |||||||||
| Categories | ||||||||||
| Buy the book | $114.12 new (17% off) $137.00 direct from Amazon Amazon page | |||||||||
| Call number | QA8.4.T538 1991 | |||||||||
| ISBN(s) | 0415033187 9780415033183 | |||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,711 |
| External links |
  Try with proxy. |
| Through your library | Configure |
Similar books and articlesStewart Shapiro (ed.) (1985). Intentional Mathematics. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
Mary Tiles (1989/2004). The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise. Dover Publications.
Stewart Shapiro (2005). Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-Mathematics. Philosophia Mathematica 13 (1):61-77.
Otávio Bueno & Øystein Linnebo (eds.) (2009). New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Michael D. Resnik (1997). Mathematics as a Science of Patterns. New York ;Oxford University Press.
Richard L. Tieszen (2005). Phenomenology, Logic, and the Philosophy of Mathematics. Cambridge University Press.
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.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads9 ( #114,265 of 551,105 )Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
