On A Hitherto Unexploited Extension Of The Finitary Standpoint

Journal of Philosophical Logic 9 (2):133-142 (1980)
Abstract
P. Bernays has pointed out that, in order to prove the consistency of classical number theory, it is necessary to extend Hilbert's finitary standpoint by admitting certain abstract concepts in addition to the combinatorial concepts referring to symbols. The abstract concepts that so far have been used for this purpose are those of the constructive theory of ordinals and those of intuitionistic logic. It is shown that the concept of a computable function of finite simple type over the integers can be used instead, where no other procedures of constructing such functions are necessary except simple recursion by an integral variable and substitution of functions in each other (starting with trivial functions)
Keywords No keywords specified (fix it)
Categories (categorize this paper)
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: 12,084
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
References found in this work BETA

No references found.

Citations of this work BETA
M. Detlefsen (1988). Essay Review. History and Philosophy of Logic 9 (1):93-105.
Similar books and articles
Kurt Gödel (1972). On an Extension of Finitary Mathematics Which has Not yet Been Used. In Solomon Feferman, John Dawson & Stephen Kleene (eds.), Kurt Gödel: Collected Works Vol. Ii. Oxford University Press. 271--284.
Nicolai J. Foss (1997). Ethics, Discovery, and Strategy. Journal of Business Ethics 16 (11):1131-1142.
W. W. Tait (2010). Gödel on Intuition and on Hilbert's Finitism. In Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.), Kurt Gödel: Essays for His Centennial. Association for Symbolic Logic.
Pamela Sue Anderson (2001). “Standpoint”. Journal of Philosophical Research 26:131-153.
Analytics

Monthly downloads

Added to index

2011-01-04

Total downloads

6 ( #214,088 of 1,101,922 )

Recent downloads (6 months)

5 ( #68,246 of 1,101,922 )

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.