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Timeline for Peano (Dedekind) categoricity

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Dec 23, 2013 at 15:02 comment added Emil Jeřábek FO+TC is certainly enough: you can express that every element is accessible from 0 by the transitive closure of the successor relation.
Dec 23, 2013 at 8:44 comment added Asaf Karagila It is enough to add the quantifier $\forall^\infty x$ meaning for all but finitely many.
Dec 23, 2013 at 8:42 comment added alexod The paper "Reverse mathematics and Peano categoricity" by Simpson and Yokoama may be related to you question. A preprint is available at personal.psu.edu/t20/papers/rmpc.pdf .
Dec 23, 2013 at 8:31 review First posts
Dec 23, 2013 at 8:32
Dec 23, 2013 at 8:13 history asked Thinniyam Srinivasan Ramanatha CC BY-SA 3.0