Weak Counterexample in Intuitionistic Logic
A weak counterexample in intuitionistic logic signifies a lack of positive evidence…
Topos Theory
Topos theory studies categories resembling the category of sets, forming a foundation…
Strong Counterexample in Intuitionistic Logic
A strong counterexample in intuitionistic logic disproves an instance of the law…
Robinson Arithmetic
Robinson arithmetic is a simplified version of Peano arithmetic, omitting the induction…
Reverse Mathematics
Reverse mathematics investigates the logical strength of mathematical theorems. It aims to…
Relative Consistency Proof
A relative consistency proof demonstrates that if a system S is consistent,…
Ramified Theory of Types
An extension of the simple theory of types, the ramified theory introduces…
Philosophy of Logic
The philosophy of logic explores the fundamental nature, assumptions, and implications of…
Neo-Logicism in the Philosophy of Mathematics
Neo-logicism revives the logicist project of grounding mathematics in logic. It addresses…
Neo-Fregeanism: A Modern Approach to Logicism
Neo-Fregeanism revives Frege's logicist project, aiming to base mathematics on logic. It…