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Inverse View
It is not the case that An actual infinity of entities, whether spiritual or material, is impossible.
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Reasons For
2 perspectives
Reason for 1 of 2
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1.
Cantor's transfinite set theory demonstrates that actual infinities form a coherent, consistent mathematical system without logical contradiction.
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2.
If actual infinities are logically coherent and instantiated in abstract mathematical reality, the burden of proof shifts to those claiming their metaphysical impossibility.
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3.
Aristotle's distinction between potential and actual infinity, while influential, was rejected by Cantor and subsequent mathematicians as a contingent conceptual limitation, not a necessary truth.
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Reason for 2 of 2
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1.
Spinoza and later absolute idealists argued that God or the Absolute just is an actually infinite substance, making actual infinity not only possible but necessary.
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2.
If theism requires a God with infinite attributes or knowledge of infinite propositions, denying actual infinity generates a contradiction within natural theology itself.
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Reasons Against
1 perspective
Reason against
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Godfrey is convinced that no actual infinity of any kind of entity can exist.
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