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arXiv · 1405.4485

Well ordering principles and bar induction

Michael Rathjen·Pedro Francisco Valencia Vizcaino
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Abstract

In this paper we show that the existence of omega-models of bar induction is equivalent to the principle saying that applying the Howard-Bachmann operation to any well-ordering yields again a well-ordering.

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Michael Rathjen, Pedro Francisco Valencia Vizcaino. 2014-05-18. Well ordering principles and bar induction. https://arxiv.org/abs/1405.4485

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