Canonical Truth

نویسندگان

چکیده

Abstract We introduce and study some variants of a notion canonical set theoretical truth. By this, we mean truth in transitive proper class model M ZFC that is uniquely characterized by $$\in$$ ∈ -formula. show there are interesting statements hold all such models, but do not follow from ZFC, as the ground axiom nonexistence measurable cardinals. also related concept which only require to be fixed up elementary equivalence. this theory-canonicity goes beyond provability it does rule out cardinals fix size continuum.

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ژورنال

عنوان ژورنال: Axiomathes

سال: 2022

ISSN: ['1122-1151', '1572-8390']

DOI: https://doi.org/10.1007/s10516-022-09631-5