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It is not the case that Perry and Lewis establish that essentially indexical beliefs like 'it is now t' resist reduction to eternal propositional contents.
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Reasons For
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1.
Beliefs about temporal location reduce to relational facts: 'now' means 'simultaneous with this utterance'—eternally specifiable.
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2.
Different agents' beliefs at different times can be identical in content (both about the same temporal property) despite different times.
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3.
The B-theory of time adequately explains all temporal phenomena without requiring irreducibly indexical propositions.
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Reasons Against
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Reason against
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1.
Temporal beliefs like 'it is now t' require a moving present moment that eternal propositions cannot capture.
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2.
Two agents at different times cannot hold identical eternal propositional contents yet have different practical beliefs.
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3.
The A-theory of time (presentism) makes temporal indexicality genuinely irreducible to B-theory eternal facts.
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