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Global Reflection Principles
In I. Niiniluoto, H. Leitgeb, P. Seppälä & E. Sober, Logic, Methodology and Philosophy of Science - Proceedings of the 15th International Congress, 2015. College Publications (2017)
Abstract
Reflection Principles are commonly thought to produce only strong axioms of infinity consistent with V = L. It would be desirable to have some notion of strong reflection to remedy this, and we have proposed Global Reflection Principles based on a somewhat Cantorian view of the universe. Such principles justify the kind of cardinals needed for, inter alia , Woodin’s Ω-LogicOther Versions
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Citations of this work
The Multiverse View and Set-Theoretic Practice.Deborah Kant - forthcoming - Kriterion – Journal of Philosophy.
Maddy On The Multiverse.Claudio Ternullo - 2019 - In Stefania Centrone, Deborah Kant & Deniz Sarikaya, Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts. Springer Verlag. pp. 43-78.
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