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Infinite Cardinalities, Measuring Knowledge, And Probabilities In Fine-Tuning Arguments (Chapter 5 Of Knowledge, Belief, And God: New Insights In Religious Epistemology), Isaac Choi

Faculty Publications - George Fox School of Theology

This paper deals with two different problems in which infinity plays a central role. I first respond to a claim that infinity renders counting knowledge-level beliefs an infeasible approach to measuring and comparing how much we know. There are two methods of comparing sizes of infinite sets, using the one-to-one correspondence principle or the subset principle, and I argue that we should use the subset principle for measuring knowledge. I then turn to the normalizability and coarse tuning objections to fine-tuning arguments for the existence of God or a multiverse. These objections center on the difficulty of talking about the …