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It is not the case that If the space of maximal consistent descriptions is bounded, the number of possible worlds cannot be infinite but is at most very large and finite.
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Reasons For
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Reason for
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1.
Maximal consistency depends on logical framework chosen; different frameworks yield different description spaces, making the bound framework-relative, not absolute.
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2.
Infinite worlds could be consistent with finite descriptions if infinitely many worlds share identical maximal descriptions—descriptions don't bijectively map worlds.
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3.
The claim conflates epistemological limitation (what we can describe) with metaphysical fact (what worlds actually exist), committing a category error.
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Reasons Against
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Reason against
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1.
Description spaces are finite constructs: any finite language or formal system can encode only finitely many maximally consistent descriptions.
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2.
Possible worlds must be individuated by properties; if properties are limited, worlds cannot exceed the combinations describable within those constraints.
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3.
Physical space-time, if fundamental to worlds, appears bounded by thermodynamic limits and quantum granularity, supporting finite possibility space.
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