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It is not the case that Relations in Zalta's theory are primitive entities that are not explained or defined in terms of other entities or notions.
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Reasons For
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Reason for 1 of 2
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1.
Zalta's abstract object theory grounds relations in encoding/exemplification distinctions, giving them implicit structural definition via their inferential roles.
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2.
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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Reason for 2 of 2
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1.
Russell's multiple-relation theory and Frege's function-theoretic approach demonstrate that relations can be analyzed as logical constructions rather than irreducible primitives.
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2.
If competing formal systems successfully reduce relations to other notions (functions, sets, or logical forms), the claim that relations must be primitive lacks sufficient justification.
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Reasons Against
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Reason against
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1.
Zalta holds that relations are 'primitive entities'.
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2.
Primitive entities are those not to be explained or defined in terms of other entities or notions.
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