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)

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
Keywords Reflection principles
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References found in this work BETA

Mathematical Logic.Joseph R. Shoenfield - 1967 - Reading, MA, USA: Reading, Mass., Addison-Wesley Pub. Co..
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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Citations of this work BETA

Maximality Principles in Set Theory.Luca Incurvati - 2017 - Philosophia Mathematica 25 (2):159-193.
Maddy On The Multiverse.Claudio Ternullo - 2019 - In Deniz Sarikaya, Deborah Kant & Stefania Centrone (eds.), Reflections on the Foundations of Mathematics. Berlin: Springer Verlag. pp. 43-78.
Richness and Reflection.Neil Barton - 2016 - Philosophia Mathematica 24 (3):330-359.
Cantor, God, and Inconsistent Multiplicities.Aaron R. Thomas-Bolduc - 2016 - Studies in Logic, Grammar and Rhetoric 44 (1):133-146.
Structural Relativity and Informal Rigour.Neil Barton - forthcoming - In Objects, Structures, and Logics, FilMat Studies in the Philosophy of Mathematics.

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