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Theology and the Actual Infinite: Burley and Cantor

✍ Scribed by Shapiro, Stewart


Book ID
126535939
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
103 KB
Volume
9
Category
Article
ISSN
1474-6700

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## Abstract In this paper we study the determinacy strength of infinite games in the Cantor space and compare them with their counterparts in the Baire space. We show the following theorems: 1. RCA~0~ ⊒ $ \Delta^0\_1 $‐Det\* ↔ $ \Sigma^0\_1 $‐Det\* ↔ WKL~0~. 2. RCA~0~ ⊒ ($ \Sigma^0\_1 $)2‐Det\* ↔