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arxiv: 1905.02718 · v2 · pith:ERWMDPRBnew · submitted 2019-05-07 · 🧮 math.LO

A Theory of Particular Sets

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keywords setsparticularsentencestheoryarguedavoidscalleddeduction
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ZFC has sentences that quantify over all sets or all ordinals, without restriction. Some have argued that sentences of this kind lack a determinate meaning. We propose a set theory called TOPS, using Natural Deduction, that avoids this problem by speaking only about particular sets.

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