On Feasible Numbers
نویسنده
چکیده
A formal approach to feasible numbers, as well as to middle and small numbers, is introduced, based on ideas of Parikh (1971) and improving his formalization. The \vague" set F of feasible numbers intuitively satisses the axioms 0 2 F , F + 1 F and 2 1000 6 2 F , where the latter is stronger than a condition considered by Parikh, and seems to be treated rigorously here for the rst time. Our technical considerations, though quite simple, have some unusual consequences. A discussion of methodological questions and of relevance to the foundations of mathematics and of computer science is an essential part of the paper.
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