Life on the Ship of Neurath: Mathematics in the Philosophy of Mathematics
Life on the Ship of Neurath: Mathematics in the Philosophy of Mathematics
Author(s): Stewart ShapiroSubject(s): Philosophy
Published by: KruZak
Keywords: abstraction; fi rst philosophy; formalism; intuitionism; logi-cism; mathematics; neo-logicism; structuralism; Bishop; Brouwer; Chi-hara; Field; Frege; Hellman; Heyting; Hilbert; Russell
Summary/Abstract: Some central philosophical issues concern the use of mathematics in pu-tatively non-mathematical endeavors. One such endeavor, of course, is philosophy, and the philosophy of mathematics is a key instance of that. The present article provides an idiosyncratic survey of the use of math-ematical results to provide support or counter-support to various philo-sophical programs concerning the foundations of mathematics.
Journal: Croatian Journal of Philosophy
- Issue Year: IX/2009
- Issue No: 26
- Page Range: 149-166
- Page Count: 17
- Language: English
- Content File-PDF