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arxiv: 1704.08790 · v1 · pith:SV5UGKIPnew · submitted 2017-04-28 · 🧮 math.LO

Derivatives of normal functions and omega-models

classification 🧮 math.LO
keywords functionsnormalomega-modelsprinciplewell-orderingarbitrarilycodedcountable
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In this note the well-ordering principle for the derivative of normal functions on ordinals is shown to be equivalent to the existence of arbitrarily large countable coded omega-models of the well-ordering principle for the function.

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