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It is not the case that Wolffian demonstrative method, which Baumgarten inherited, treats examples as integral proofs, not decorative supplements to dry definitions.
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Reasons For
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Reason for
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1.
Examples from particular cases cannot logically prove universal principles; they illustrate but do not establish necessity as mathematical proofs do.
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2.
Treating examples as integral proofs risks conflating psychological persuasiveness with logical validity, a confusion rationalists should reject.
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3.
If examples were truly probative, disagreement about which examples best fit definitions would constitute disagreement about the proof itself, creating instability.
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Reasons Against
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Reason against
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1.
Abstract definitions alone cannot convey how concepts apply to concrete particulars without intuitive demonstration through examples.
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2.
Wolff's rationalist system requires showing how a priori principles manifest in sensible cases to ensure coherence between reason and experience.
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3.
Examples function as proofs by instantiating definitions, verifying that conceptual content has actual instantiation rather than mere formal validity.
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