The Computational Content of Classical Arithmetic to Appear in a Festschrift for Grigori Mints

Almost from the inception of Hilbert's program, foundational and structural efforts in proof theory have been directed towards the goal of clarifying the computational content of modern mathematical methods. This essay surveys various methods of extracting computational information from proofs in classical first-order arithmetic, and reflects on some of the relationships between them. Variants of the Godel-Gentzen double-negation translation, some not so well known, serve to provide canonical and efficient computational interpretations of that theory
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
 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: 15,914
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.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Stefan Hetzl (2012). The Computational Content of Arithmetical Proofs. Notre Dame Journal of Formal Logic 53 (3):289-296.
Lawrence A. Shapiro (1997). A Clearer Vision. Philosophy of Science 64 (1):131-53.
Rick Grush (2001). The Semantic Challenge to Computational Neuroscience. In Peter K. Machamer, Peter McLaughlin & Rick Grush (eds.), Theory and Method in the Neurosciences. University of Pittsburgh Press 155--172.
Mark Sprevak (2010). Computation, Individuation, and the Received View on Representation. Studies in History and Philosophy of Science Part A 41 (3):260-270.
John Kadvany (2007). Positional Value and Linguistic Recursion. Journal of Indian Philosophy 35 (5-6):487-520.

Monthly downloads

Added to index


Total downloads

4 ( #405,485 of 1,725,565 )

Recent downloads (6 months)

1 ( #349,436 of 1,725,565 )

How can I increase my downloads?

My notes
Sign in to use this feature

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