Logical Consequence
Logical consequence describes the relationship where true premises guarantee a true conclusion…
Intuitionistic Mathematics
Mathematics built on intuitionistic logic, prioritizing constructive proofs and avoiding non-constructive axioms…
Intuitionistic Logic Explained
Intuitionistic logic, a constructive approach to reasoning, diverges from classical logic by…
Introduction Rule in Logic
An introduction rule in logic defines how to logically infer a connective…
Inconsistent Arithmetic: When Logic Fails
Inconsistent arithmetic refers to a mathematical system where contradictions can be proven,…
Harmony in Logic and Philosophy
Harmony in logic signifies a balance in introduction and elimination rules for…
Finitary Formal Systems Explained
A finitary formal system uses only finite operations, proofs, and expressions. It…