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It is not the case that The inference from '∃x Human(x)' to 'humanity exists' is valid only given a prior substantive metaphysical assumption that predicates denote universals.
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Reasons For
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Reason for
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1.
First-order quantification can be interpreted purely nominally: '∃x Human(x)' means 'some concrete particular is human' without universals.
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2.
'Humanity exists' may simply report the instantiation of a pattern across particulars, not require commitment to abstract entities.
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3.
The inference's validity depends on how 'humanity exists' is parsed, not necessarily on prior metaphysical assumptions about universals.
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Reasons Against
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Reason against
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1.
The existential quantifier '∃x' ranges over objects satisfying predicates, requiring those predicates to have determinate extension.
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2.
Without universals, predicates become merely linguistic conventions, making '∃x Human(x)' true only of word-usage, not reality.
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3.
Inferring 'humanity exists' from '∃x Human(x)' treats humanity as an abstract object; this requires predicates to denote mind-independent universals.
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