An axiomatic presentation of the nonstandard methods in mathematics
Di Nasso, Mauro
J. Symbolic Logic, Tome 67 (2002) no. 1, p. 315-325 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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 assumed. A strong form of saturation is also postulated. ∗ZFC is a conservative extension of ZFC.
Publié le : 2002-03-14
Classification:  03E70,  03H05 
@article{1190150046,
     author = {Di Nasso, Mauro},
     title = {An axiomatic presentation of the nonstandard methods in mathematics},
     journal = {J. Symbolic Logic},
     volume = {67},
     number = {1},
     year = {2002},
     pages = { 315-325},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190150046}
}

Di Nasso, Mauro. An axiomatic presentation of the nonstandard methods in mathematics. J. Symbolic Logic, Tome 67 (2002) no. 1, pp.  315-325. http://gdmltest.u-ga.fr/item/1190150046/