Realism, nonstandard set theory, and large cardinals
نویسندگان
چکیده
منابع مشابه
Operational set theory and small large cardinals
Article history: Received 5 December 2006 Revised 21 April 2008 Available online 11 April 2009 A new axiomatic system OST of operational set theory is introduced in which the usual language of set theory is expanded to allow us to talk about (possibly partial) operations applicable both to sets and to operations. OST is equivalent in strength to admissible set theory, and a natural extension of...
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This paper is a first exploration how the modal logic of interpretability can play a role in the study of large cardinals in set theory. First we reason that such a role is likely to be fruitful. Next, for two particular readings of the binary modality we study its repercussions for the corresponding logic. The first reading of A B is “Inside any Vκ where A holds we can find a Vκ′ where B holds...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2001
ISSN: 0168-0072
DOI: 10.1016/s0168-0072(01)00039-2