Logical power, Abelard, and empirical success rates
Aristotle's predicate logic does not suffer from undue existential import (UEI). Abelard followed Aristotle in this respect. The notion of logical power is defined and it is shown that the Square has maximal power, followed by Aristotelian‐Abelardian logic. Standard modern predicate logic turns out extremely weak. The notion of distributive quantifier is defined. The three logics are ranked on a scale of empirical success with regard to natural logical intuitions.
Keywords: Abelard, Aristotle, distributive quantifiers, empirical success scale, logical power, Square of Opposition, standard modern predicate logic
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