Inverse Operations with Transfinite Numbers and the Kalam Cosmological Argument

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Abstract
William Lane Craig has argued that there cannot be actual infinities because inverse operations are not well-defined for infinities. I point out that, in fact, there are mathematical systems in which inverse operations for infinities are well-defined. In particular, the theory introduced in John Conway's *On Numbers and Games* yields a well-defined field that includes all of Cantor's transfinite numbers.
ISBN(s)
0019-0365
PhilPapers/Archive ID
OPPRTC
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Archival date: 2021-01-13
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2009-06-12

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