Mathematics and Mind

Oxford University Press (1994)
Abstract
Those inquiring into the nature of mind have long been interested in the foundations of mathematics, and conversely this branch of knowledge is distinctive in that our access to it is purely through thought. A better understanding of mathematical thought should clarify the conceptual foundations of mathematics, and a deeper grasp of the latter should in turn illuminate the powers of mind through which mathematics is made available to us. The link between conceptions of mind and of mathematics has been a central theme running through the great competing philosophies of mathematics of the twentieth century, though each has refashioned the connection and its import in distinctive ways. The present collection will be of interest to students of both mathematics and of mind. Contents include: "Introduction" by Alexander George; "What is Mathematics About?" by Michael Dummett; "The Advantages of Honest Toil over Theft" by George Boolos; "The Law of Excluded Middle and the Axiom of Choice" by W.W. Tait; "Mechanical Procedures and Mathematical Experience" by Wilfried Sieg; "Mathematical Intuition and Objectivity" by Daniel Isaacson; "Intuition and Number" by Charles Parsons; and "Hilbert's Axiomatic Method and the Laws of Thought" by Michael Hallett.
Keywords Mathematics Philosophy
Categories (categorize this paper)
Buy the book $21.48 used (84% off)   $112.45 new (14% off)   $123.50 direct from Amazon (5% off)    Amazon page
Call number QA8.6.M378 1994
ISBN(s) 0195079299   9780195079296
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
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 12,047
External links
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
Chapters BETA
References found in this work BETA

No references found.

Citations of this work BETA
Charles Parsons (2004). Structuralism and Metaphysics. Philosophical Quarterly 54 (214):56--77.
Karen Green (1999). Was Wittgenstein Frege's Heir? Philosophical Quarterly 50 (196):289-308.
Similar books and articles
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

22 ( #82,922 of 1,101,725 )

Recent downloads (6 months)

4 ( #91,692 of 1,101,725 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.