Counting to infinity, successive addition, and the length of the past

Research output: Contribution to journalArticlepeer-review


The Successive Addition Argument (SAA) is one of the arguments proposed by the defenders of the Kalām Cosmological Argument to support the claim that the universe has a beginning. The main premise of SAA states that a collection formed by successive addition cannot be an actual infinite. This premise is challenged by an argument originally proposed by Fred Dretske. According to Dretske’s Argument (DA), the scenario of a counter who starts counting numbers and never stops can provide a counterexample to the main premise of SAA. I argue that neither DA nor its past-oriented counterpart—which discusses the scenario of a counter who has always been counting negative integers from the infinite past—can play a decisive role in our evaluation of the strength of the arguments that are intended to establish the finitude of the past based on the impossibility of an actually infinite number of successive additions.
Original languageEnglish
JournalInternational Journal for Philosophy of Religion
Early online date27 Aug 2022
Publication statusPublished - 2022


Dive into the research topics of 'Counting to infinity, successive addition, and the length of the past'. Together they form a unique fingerprint.

Cite this