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FOL

FOL

Etymology
Acronym: First-Order Logic. Compound denoting the standard logical framework for axiomatization.
First-Order
Quantifiers range over individuals, not over predicates or functions.
Logic
Formal system of deduction.
Origin
Frege 1879. Begriffsschrift.
Meaning
A formal logical system with quantifiers (∀, ∃) over individuals. The standard framework for axiomatizing mathematical theories.
Earliest use
Frege 1879.
Definition
A formal logical system with quantifiers (∀, ∃) over individuals. The standard framework for axiomatizing mathematical theories (e.g., ZFC, Peano arithmetic).

Citations

  • Frege, G. (1879). Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens.

Reference Dictionaries