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Inverse View
It is not the case that If no human beings exist, 'a human being is an animal' fails to correspond to any actual state of affairs, rendering it truth-valueless rather than true.
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Reasons For
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Reason for
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1.
Mathematical and logical truths hold regardless of physical existence; 'a human being is an animal' expresses a conceptual necessity.
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2.
Modal logic and possible worlds show statements can be true without present instantiation—the statement describes what would obtain.
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3.
Denying truth-value to conditionals and universal claims renders science and mathematics unintelligible when subjects don't exist.
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Reasons Against
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Reason against
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1.
Truth requires correspondence to actual facts; abstract statements about non-existent entities lack such correspondence.
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2.
A statement's truth-value depends on reality; if the subject matter doesn't exist, the statement cannot be assessed as true or false.
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3.
Attributing truth to statements about empty domains leads to counterintuitive results about non-existent objects.
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