Global Reflection Principles

In I. Niiniluoto, H. Leitgeb, P. Seppälä & E. Sober (eds.), Logic, Methodology and Philosophy of Science - Proceedings of the 15th International Congress, 2015. College Publications (2017)
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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-Logic

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Citations of this work

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The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
A Logical Journey. From Gödel to Philosophy.Hao Wang - 1998 - Philosophy 73 (285):495-504.

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