A theory of hyperfinite sets

Details A theory of hyperfinite sets A theory of hyperfinite sets

2005-02-17

arxiv.org/abs/math/0502393v1

Mathematics

Logic

28 pages

Scientific paper

We develop an axiomatic set theory -- the Theory of Hyperfinite Sets THS,
which is based on the idea of existence of proper subclasses of big finite
sets. We demonstrate how theorems of classical continuous mathematics can be
transfered to THS, prove consistency of THS and present some applications.

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