Peano Arithmetic
A formal system of arithmetic using axioms by Giuseppe Peano, it provides…
Normal Form in Logic
A standardized method for structuring logical formulas like CNF or DNF. Normal…
Negation Introduction Rule in Natural Deduction
Negation introduction is a natural deduction rule enabling the derivation of negation.…
Logic: The Science of Valid Reasoning
Logic is the systematic study of valid inference. It explores the structures…
Kripke Semantics
A formal framework for modal logic using possible worlds. Developed by Saul…
Gödel Numbering
Gödel numbering assigns unique natural numbers to symbols, formulas, and proofs in…
First-Order Theory
A first-order theory formalizes mathematical reasoning using first-order logic. It defines relationships…
Understanding the Field of a Function
The field of a function encompasses both its domain (inputs) and its…
Explicit Definition
An explicit definition replaces every instance of a term with its precise…