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It is not the case that The second principle of the impossibility of an actual infinite regress was not central to Avicenna's cosmological argument for God's existence
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Reason for
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Mayer (2001) demonstrated that this principle was not central to Avicenna's cosmological/ontological argument
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Reasons Against
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Reason against 1 of 2
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1.
Avicenna's argument in the Shifa proceeds by dividing existents into necessary and contingent, requiring no infinite regress prohibition to establish a Necessary Existent.
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2.
The modal distinction between wajib al-wujud and mumkin al-wujud is logically prior to and independent of any temporal or causal series considerations in Avicenna's framework.
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3.
Avicenna explicitly accepts infinite causal chains of contingent beings in his cosmology, which would be incoherent if infinite regress prohibition were central to his argument.
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Reason against 2 of 2
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1.
Davidson (1987) in 'Proofs for Eternity' shows Avicenna's argument terminates in a synchronic dependence relation, not a diachronic regress requiring an anti-infinite-regress principle.
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2.
A synchronic modal argument from contingency to necessity requires only that the aggregate of contingents lacks self-sufficient existence, not that an infinite series is impossible.
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