Type Theory
A mathematical logic and computer science framework using types to classify expressions…
The Turnstile Symbol (⊢) in Logic
The turnstile symbol (⊢) signifies syntactic entailment or provability in formal logic.…
Truth-in-a-Model in Semantic Theories
Truth-in-a-model signifies that a statement's truth is relative to a specific interpretation…
Understanding Translation in Formal Languages
A translation maps expressions between languages, aiming to preserve meaning or truth…
Ternary Semantics in Logic
Ternary semantics extend possible worlds semantics using a ternary relation, often in…
The Temperature Paradox
The temperature paradox highlights how seemingly illogical conclusions, like 'ninety is rising,'…
Syntactic Consequence in Formal Systems
Syntactic consequence defines the relationship between premises and conclusions derived through logical…
Substitution Instance in Logic
A substitution instance is the result of replacing variables in a well-formed…
Subject Term in Categorical Propositions
The subject term is the element in a categorical proposition about which…
Strict Implication
Strict implication defines a relationship where the truth of the antecedent necessarily…