A mathematical logic and computer science framework using types to classify expressions and objects, preventing paradoxes by organizing into hierarchies…
The turnstile symbol (⊢) signifies syntactic entailment or provability in formal logic. It indicates that a statement on the right…
Truth-in-a-model signifies that a statement's truth is relative to a specific interpretation or model of the language it's in. It's…
A translation maps expressions between languages, aiming to preserve meaning or truth conditions. It's a fundamental concept in logic and…
Ternary semantics extend possible worlds semantics using a ternary relation, often in relevant logics. This approach offers a richer framework…
The temperature paradox highlights how seemingly illogical conclusions, like 'ninety is rising,' can be valid within specific formal logical systems.…
Syntactic consequence defines the relationship between premises and conclusions derived through logical rules and axioms within a formal system. It…
A substitution instance is the result of replacing variables in a well-formed formula with other formulas. Each variable must be…
The subject term is the element in a categorical proposition about which something is stated. It forms the first part…
Strict implication defines a relationship where the truth of the antecedent necessarily guarantees the truth of the consequent. It's a…