A Theory of Hyperfinite Sets
Copyright policy )A Theory of Hyperfinite Sets
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.
28 pages
- Western Illinois University United States
- Eastern Illinois University United States
26E35; 03E70; 03C62; 54J05, thin class, Hyperfinite set, Logic, Nonstandard models in mathematics, hyperfinite set, Zermelo universe, Mathematics - Logic, nonstandard set theory, Thin class, 26E35, General Mathematics (math.GM), Nonclassical and second-order set theories, 54J05, FOS: Mathematics, 03E70, Nonstandard set theory, 03C62, Consistency and independence results, Logic (math.LO), Mathematics - General Mathematics
26E35; 03E70; 03C62; 54J05, thin class, Hyperfinite set, Logic, Nonstandard models in mathematics, hyperfinite set, Zermelo universe, Mathematics - Logic, nonstandard set theory, Thin class, 26E35, General Mathematics (math.GM), Nonclassical and second-order set theories, 54J05, FOS: Mathematics, 03E70, Nonstandard set theory, 03C62, Consistency and independence results, Logic (math.LO), Mathematics - General Mathematics
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