FOM: finite axiomatization and conservative extension
neilt at mercutio.cohums.ohio-state.edu
Mon Apr 30 16:51:52 EDT 2001
Could any fom-er supply a reference for the earliest proof of a
theorem along the following lines?:
Any r.e. set of sentences in a first-order language L is, for some L*
extending L, the restriction to L of some finitely axiomatizable
theory in L*.
Are there any interesting/natural conditions on such r.e. sets that
would force L* to be a language of higher order than L, rather than
merely a first-order extension of L?
Neil W. Tennant
Professor of Philosophy and Adjunct Professor of Cognitive Science
230 North Oval
The Ohio State University
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