Tautology: Understanding Logically True Statements
A tautology is a statement or formula that is always true, regardless…
Substitution in Logic
Substitution is the fundamental act of replacing variables or expressions in logical…
Semantic Validity and Tautologies in Logic
A semantically valid formula, or tautology, is a statement that holds true…
Proof-Theoretic Validity
Proof-theoretic validity defines a valid proof within proof-theoretic semantics. It focuses on…
Formal Consequence: Logic’s Pure Structure
A formal consequence is a conclusion derived solely from the logical form…
Equivalence in Logic and Mathematics
Equivalence signifies that two statements have the same truth value under all…