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    An entity whose identity and behavior are fully determine... — Carmelics
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    Challenges→Relations in Zalta's theory are primitive entities that are not explained or defined in terms of other entities or notions.

    An entity whose identity and behavior are fully determined by axiomatic constraints is functionally defined, not genuinely primitive in the ontological sense.

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    Reasons For

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    Reason for
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    • 1.Identity determined entirely by axioms reduces to logical relations, not intrinsic properties independent of their defining rules.
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    • 2.Primitive entities should possess explanatory independence; axiomatic entities depend on external constraints for their existence.
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    • 3.Mathematical objects defined by axioms (e.g., natural numbers) are paradigmatically functional, not ontologically foundational.
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    Reasons Against

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    • 1.All identity involves relational structure; calling axiomatically-constrained entities 'functional' rather than 'primitive' is merely terminological.
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    • 2.Fundamental physical laws constrain particles yet we consider them primitive; constraint doesn't entail non-primitiveness.
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    • 3.An entity satisfying its defining axioms necessarily is what it is; this necessity may constitute genuine primitiveness, not derivativeness.
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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    All identity involves relational structure; calling axiomatically-constrained en...An entity satisfying its defining axioms necessarily is what it is; this necessi...Fundamental physical laws constrain particles yet we consider them primitive; co...Identity determined entirely by axioms reduces to logical relations, not intrins...
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    Mathematical objects defined by axioms (e.g., natural numbers) are paradigmatica...Primitive entities should possess explanatory independence; axiomatic entities d...Relations in Zalta's theory are primitive entities that are not explained or def...

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