Successive Addition Argument – Defending George

Abstract

The Successive Addition Argument (SAA) argues that an actually infinite collection cannot be formed through successive addition, and therefore, the temporal series of past events cannot be infinite. This paper addresses a revived counter argument from Dretske's (Dretske 1965) hypothetical example of George counting natural numbers and critiques Ibrahim Dagher's (2024) Potential Infinite Objection towards the said revived hypothetical. The paper hopes to push away the notion of completeness within the SAA dialectic.
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Isaiah Link
Indiana University Indianapolis

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2025-01-26

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