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Natural Internal Forcing Schemata Extending ZFC

Garvin Melles
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Abstract

Let V be the universe of sets and V_{\alpha} the sets of rank \leq\alpha. We develop some axiom schemata for set theory based on the following three assumptions: 1. V \models ZFC 2. V is large with respect to the class of ordinals 3. V is large with respect to each of the V_{\alpha}

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Garvin Melles. 1993-04-12. Natural Internal Forcing Schemata Extending ZFC. https://arxiv.org/abs/math/9304202

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