Mathematical Logic Quarterly

Choices of Convenient Sets

Journal Article


Proceeding in the theory with extensionality, comprehension for classes, existence of the empty set and the assumption the addition of one element to a set makes again a set (others usual set‐theoretical operations are not required) we show a week assumption which guarantees existence of a saturated elementary extension (with absolute ϵ) of the system of hereditarily finite sets.

Mathematics Subject Classification: 03C62, 03C50, 03E70.

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