Zeroth-order logic is first-order logic without quantifiers. A finitely axiomatizable zeroth-order logic is isomorphic to a propositional logic. Zeroth-order logic with axiom schema is a more expressive system than propositional logic. An example is given by the system Primitive recursive arithmetic, or PRA.
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Famous quotes containing the word logic:
“The usefulness of madmen is famous: they demonstrate society’s logic flagrantly carried out down to its last scrimshaw scrap.”
—Cynthia Ozick (b. 1928)