David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 102 (3):319 - 361 (1995)
This paper develops some respects in which the philosophy of mathematics can fruitfully be informed by mathematical practice, through examining Frege's Grundlagen in its historical setting. The first sections of the paper are devoted to elaborating some aspects of nineteenth century mathematics which informed Frege's early work. (These events are of considerable philosophical significance even apart from the connection with Frege.) In the middle sections, some minor themes of Grundlagen are developed: the relationship Frege envisions between arithmetic and geometry and the way in which the study of reasoning is to illuminate this. In the final section, it is argued that the sorts of issues Frege attempted to address concerning the character of mathematical reasoning are still in need of a satisfying answer.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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
Mirja Helena Hartimo (2008). From Geometry to Phenomenology. Synthese 162 (2):225 - 233.
Similar books and articles
Richard Heck (2011). Ramified Frege Arithmetic. Journal of Philosophical Logic 40 (6):715-735.
Richard Heck (1993). The Development of Arithmetic in Frege's Grundgesetze der Arithmetik. Journal of Symbolic Logic 58 (2):579-601.
William Demopoulos (1994). Frege and the Rigorization of Analysis. Journal of Philosophical Logic 23 (3):225 - 245.
D. Macbeth (2012). Seeing How It Goes: Paper-and-Pencil Reasoning in Mathematical Practice. Philosophia Mathematica 20 (1):58-85.
Michael A. E. Dummett (1991). Frege: Philosophy of Mathematics. Harvard University Press.
Sanford Shieh (2008). Frege on Definitions. Philosophy Compass 3 (5):992-1012.
Tyler Burge (1998). Frege on Knowing the Foundation. Mind 107 (426):305-347.
Added to index2009-01-28
Total downloads32 ( #55,490 of 1,102,981 )
Recent downloads (6 months)3 ( #120,763 of 1,102,981 )
How can I increase my downloads?