Counting to infinity, successive addition, and the length of the past
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 premis...
| Published in: | International journal for philosophy of religion |
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| Main Author: | |
| Format: | Electronic Article |
| Language: | English |
| Check availability: | HBZ Gateway |
| Journals Online & Print: | Drawer...
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| Fernleihe: | Fernleihe für die Fachinformationsdienste |
| Published: |
Springer Science + Business Media B. V
2022
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| In: |
International journal for philosophy of religion
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| Further subjects: | B
The Successive Addition Argument
B Beginning of the universe B Dretske’s objection B Kalām Cosmological Argument B Finitism B Counting to infinity |
| Online Access: |
Volltext (kostenfrei) |
| Summary: | 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. |
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| ISSN: | 1572-8684 |
| Contains: | Enthalten in: International journal for philosophy of religion
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| Persistent identifiers: | DOI: 10.1007/s11153-022-09843-0 |