Frege on knowing the foundation

Mind 107 (426):305-347 (1998)
Abstract
The paper scrutinizes Frege's Euclideanism - his view of arithmetic and geometry as resting on a small number of self-evident axioms from which non-self-evident theorems can be proved. Frege's notions of self-evidence and axiom are discussed in some detail. Elements in Frege's position that are in apparent tension with his Euclideanism are considered - his introduction of axioms in The Basic Laws of Arithmetic through argument, his fallibilism about mathematical understanding, and his view that understanding is closely associated with inferential abilities. The resolution of the tensions indicates that Frege maintained a sophisticated and challenging form of rationalism, one relevant to current epistemology and parts of the philosophy of mathematics.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/mind/107.426.305
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 26,205
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Intuition and Philosophical Methodology.John Symons - 2008 - Axiomathes 18 (1):67-89.
Carving Content at the Joints.Stephen Yablo - 2008 - Canadian Journal of Philosophy 38 (S1):145-177.

View all 11 citations / Add more citations

Similar books and articles
Frege's Theorem: An Introduction.Richard Heck - 1999 - The Harvard Review of Philosophy 7 (1):56-73.
Frege's New Science.G. Aldo Antonelli & Robert C. May - 2000 - Notre Dame Journal of Formal Logic 41 (3):242-270.
Realismbei Frege: Reply to Burge.Joan Weiner - 1995 - Synthese 102 (3):363 - 382.
Frege on Definitions.Sanford Shieh - 2008 - Philosophy Compass 3 (5):992-1012.
Frege's Notions of Self-Evidence.Robin Jeshion - 2001 - Mind 110 (440):937-976.

Monthly downloads

Added to index

2009-01-28

Total downloads

300 ( #9,664 of 2,154,091 )

Recent downloads (6 months)

1 ( #398,005 of 2,154,091 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums