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    Carmelics

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    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

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

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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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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    Reasons Against

    1 perspective
    Reason against
    ?
    • 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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