Tag: formal

Type Theory

A mathematical logic and computer science framework using types to classify expressions…

Steven Haynes

The Turnstile Symbol (⊢) in Logic

The turnstile symbol (⊢) signifies syntactic entailment or provability in formal logic.…

Steven Haynes

Truth-in-a-Model in Semantic Theories

Truth-in-a-model signifies that a statement's truth is relative to a specific interpretation…

Steven Haynes

Understanding Translation in Formal Languages

A translation maps expressions between languages, aiming to preserve meaning or truth…

Steven Haynes

Ternary Semantics in Logic

Ternary semantics extend possible worlds semantics using a ternary relation, often in…

Steven Haynes

The Temperature Paradox

The temperature paradox highlights how seemingly illogical conclusions, like 'ninety is rising,'…

Steven Haynes

Syntactic Consequence in Formal Systems

Syntactic consequence defines the relationship between premises and conclusions derived through logical…

Steven Haynes

Substitution Instance in Logic

A substitution instance is the result of replacing variables in a well-formed…

Steven Haynes

Subject Term in Categorical Propositions

The subject term is the element in a categorical proposition about which…

Steven Haynes

Strict Implication

Strict implication defines a relationship where the truth of the antecedent necessarily…

Steven Haynes