The Theistic Argument from Infinity in Early Modern Philosophy

International Philosophical Quarterly 36 (1):5-17 (1996)
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Abstract

The article traces the links between theism and the concept of infinity in modern philosophy. Descartes appealed to "infinite perfection" as intuitive and immediately knowable, basing his theism upon it. Leibniz's quantitative understanding of infinity, as in the infinitesimals, made the break between finite and infinite less central without erasing it. Both are challenged by the infinite set theory of Georg Cantor, which finally provides a mechanism for speaking of greater and lesser infinite quantities--and yet he still posits an "absolute infinite," beyond all sets! I show how infinity remains central to philosophical theology even apart from theistic proofs

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