A natural model of the multiverse axioms
Victoria Gitman, Joel David Hamkins
TL;DR
This paper demonstrates that if ZFC is consistent, then the set of countable computably saturated models of ZFC naturally satisfies all the Multiverse Axioms, providing a foundational model for multiverse theory.
Contribution
It establishes a natural model of the multiverse axioms using countable computably saturated models of ZFC, linking set theory consistency with multiverse concepts.
Findings
Countable computably saturated models satisfy all Multiverse Axioms
Provides a natural model connecting ZFC consistency with multiverse theory
Supports the multiverse framework within set theory
Abstract
If ZFC is consistent, then the collection of countable computably saturated models of ZFC satisfies all of the Multiverse Axioms introduced by Hamkins.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Philosophy and Theoretical Science · Epistemology, Ethics, and Metaphysics