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It is not the case that The impossibility of an eternal world cannot be demonstrated, nor can its possibility be demonstrated.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Actual infinity entails logical contradictions (e.g., Hilbert's Hotel paradoxes), making an eternal past demonstrably impossible.
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2.
If traversing an actual infinite series of prior events is logically incoherent, the impossibility of an eternal world is demonstrable a priori.
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3.
Al-Ghazali and later Bonaventure showed that an infinite temporal regress generates formal contradictions, not merely contingent implausibilities.
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Reason for 2 of 2
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1.
Aquinas argued that while revelation settles the question, unaided reason can establish that creation ex nihilo requires a temporal first moment.
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2.
If God's causal primacy entails that no co-eternal effect can exist alongside its cause, the eternal world is demonstrably ruled out by modal theology.
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Reasons Against
1 perspective
Reason against
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1.
Arguments that an eternal world is impossible under the present dispensation do not prove that no world could have been eternally created.
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2.
Neither side of the debate about an eternal world can be shown to be necessarily true.
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Strongest counterpoint
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