[FOM] Arithmetic-free theory of formal systems?
Matthew Frank
mfrank at math.uchicago.edu
Mon May 17 16:37:21 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?
> that directly formalizes the concepts of "symbol,"
> "concatenation," etc. without reference to arithmetic concepts.
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
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