Geometry and generality in Frege's philosophy of arithmetic

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)
DOI 10.1007/BF01064120
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 31,871
Through your library
References found in this work BETA
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford University Press.
Kant and the Exact Sciences.Michael Friedman - 1992 - Harvard University Press.
Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.

View all 39 references / Add more references

Citations of this work BETA
Logical Contextuality in Frege.Brice Halimi - 2018 - Review of Symbolic Logic 11 (1):1-20.
From Geometry to Phenomenology.Mirja Hartimo - 2008 - Synthese 162 (2):225-233.
A Primer on Ernst Abbe for Frege Readers.Jamie Tappenden - 2008 - Canadian Journal of Philosophy 38 (S1):31-118.

Add more citations

Similar books and articles
Added to PP index

Total downloads
64 ( #93,098 of 2,231,923 )

Recent downloads (6 months)
1 ( #446,149 of 2,231,923 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature