[FOM] Arithmetic-free theory of formal systems?
Steven Ericsson Zenith
steven at semeio.com
Mon May 17 17:42:07 EDT 2004
On Mon, 17 May 2004, Timothy Y. Chow wrote:
> is there a way of developing a theory of formal systems without
> any reference to arithmetic?
To which Matthew Frank <mfrank at math.uchicago.edu> replied ...
> One good example is: Jeroslow, R. G., "Redundancies in the
> Hilbert-Bernays derivability conditions for Gdel's second incompleteness
> theorem", J. Symbolic Logic 38 (1973), 359-367.
> There's also Smullyan's "Theory of Formal Systems", though I found it
> harder to read. --Matt
Timothy might also consider a review of the Charles Sander Peirce volume "Exact Logic" -
volume 4 of the CSP Collected Papers as I recall.
Steven
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