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Inverse View
It is not the case that Ockham's razor demands that validity criteria not be multiplied beyond necessity if one criterion suffices to account for all valid inferences.
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Reasons For
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Reason for
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1.
Relevance logic and paraconsistent logic capture valid inferences that truth-functional criteria systematically exclude.
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2.
Different domains (deductive, inductive, abductive reasoning) may genuinely require distinct validity standards, not reducible artifacts.
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3.
Parsimony applies to entities, not explanatory frameworks; theoretical adequacy can outweigh criterion minimalism.
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Reasons Against
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Reason against
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1.
Simpler formal systems reduce cognitive burden and error-proneness in logic instruction and application.
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2.
Historical practice shows unified criteria (e.g., truth-functional validity) have successfully explained vast inference domains.
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3.
Multiplying criteria without empirical necessity violates parsimony and risks ad-hoc theoretical proliferation.
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