Set theory and its applications to Frege arithmetic

来源 :2014年南开数理逻辑研讨会 | 被引量 : 0次 | 上传用户:freedomo
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  In Part 1,I will introduce Frege theorem and Frege arithmetic,then I will give some models of Frege arithmetic,including the fragments of first-order one and the subsystems of second-order one.In Part 2,I will introduce some set-theoretical techniques,including inner models,forcings and Borel equivalence relations,and its applications to Peano arithmetic.In Part 3,I will apply the set-theoretical techniques to Frege arithmetic.
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