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Explicit mathematics and operational set theory: Some ontological comparisons

Gerhard Jäger & Rico Zumbrunnen

Association for Symbolic Logic: The Bulletin of Symbolic Logic (2017)

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A new model construction by making a detour via intuitionistic theories I: Operational set theory without choice is Π 1 -equivalent to KP.Kentaro Sato & Rico Zumbrunnen - 2015 - Annals of Pure and Applied Logic 166 (2):121-186.details Intuitionistic Logic in Logic and Philosophy of Logic Logic and Philosophy of Logic Direct download (3 more) Export citation Bookmark 6 citations
A new model construction by making a detour via intuitionistic theories II: Interpretability lower bound of Feferman's explicit mathematics T 0.Kentaro Sato - 2015 - Annals of Pure and Applied Logic 166 (7-8):800-835.details Logic and Philosophy of Logic Logic and Philosophy of Logic, Miscellaneous in Logic and Philosophy of Logic Direct download (3 more) Export citation Bookmark 5 citations
Explicit mathematics and operational set theory: Some ontological comparisons.Gerhard Jäger & Rico Zumbrunnen - 2014 - Bulletin of Symbolic Logic 20 (3):275-292.details We discuss several ontological properties of explicit mathematics and operational set theory: global choice, decidable classes, totality and extensionality of operations, function spaces, class and set formation via formulas that contain the definedness predicate and applications. Logic and Philosophy of Logic Logic and Philosophy of Logic, Miscellaneous in Logic and Philosophy of Logic Direct download (5 more) Export citation Bookmark 2 citations

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