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    The inference from 'physics requires no set larger than P... — Carmelics
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    Challenges→The cardinal number of the power set of the set of space-time points (at least ℵ₂) is the largest cardinal.

    The inference from 'physics requires no set larger than P(spacetime)' to 'no larger cardinal exists' commits a modal fallacy, conflating epistemic and ontological limitations.

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    1 reason for
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    Reasons For

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    • 1.Physical theories describe only what exists within spacetime; mathematical existence transcends physical constraints.
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    • 2.Confusing 'we need no set larger than P(spacetime) for physics' with 'no larger set exists' is a use-mention error.
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    • 3.Epistemic limitations (what we can know/use) logically entail nothing about ontological reality (what exists).
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    Reasons Against

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    • 1.Mathematical objects have no causal power; positing inaccessible cardinals beyond physical utility lacks justification.
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    • 2.The distinction between epistemic and ontological breaks down if all meaningful claims reduce to physically instantiable facts.
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    • 3.Occam's razor favors denying unneeded large cardinals over accepting unexplained infinities beyond physics.
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    Related

    Confusing 'we need no set larger than P(spacetime) for physics' with 'no larger ...Epistemic limitations (what we can know/use) logically entail nothing about onto...Mathematical objects have no causal power; positing inaccessible cardinals beyon...Occam's razor favors denying unneeded large cardinals over accepting unexplained...
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    Physical theories describe only what exists within spacetime; mathematical exist...The cardinal number of the power set of the set of space-time points (at least ℵ...The distinction between epistemic and ontological breaks down if all meaningful ...

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