Topos Theory: A Generalized Set Theory
Topos theory generalizes set theory using abstract frameworks. It defines mathematical structures…
Soundness in Logic
Soundness ensures that a logical system's derived theorems are always true under…
Skolem Paradox
The Skolem paradox highlights a contradiction between intuition and the Skolem-Lowenheim theorem.…
Skolem-Lowenheim Theorem
A fundamental theorem in first-order logic. It asserts that if a theory…
Sequent Calculus: A Formal System for Logical Deduction
Sequent calculus is a formal system representing logical deductions. It uses sequences…
Semi-Decidable Theory
A semi-decidable theory allows for an algorithm to list all its theorems.…
Second-Order Logic Explained
Second-order logic enhances first-order logic by enabling quantification over predicates and relations,…
Satisfaction in Model Theory
Satisfaction in model theory describes the relationship between a structure and a…
Robinson Arithmetic
Robinson arithmetic is a simplified version of Peano arithmetic, omitting the induction…