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JSYML
2002
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14 years 4 days ago
An Axiomatic Presentation of The Nonstandard Methods in Mathematics
A nonstandard set theory ZFC is proposed that axiomatizes the nonstandard embedding . Besides the usual principles of nonstandard analysis, all axioms of ZFC except regularity are...
Mauro Di Nasso
AML
2002
69views more  AML 2002»
14 years 10 days ago
Transfer principles in nonstandard intuitionistic arithmetic
Using a slight generalization, due to Palmgren, of sheaf semantics, we present a term-model construction that assigns a model to any first-order intuitionistic theory. A modificat...
J. Avigad, Jeremy Helzner