Tag: foundational

Tarskian Hierarchy

Alfred Tarski's Tarskian hierarchy is a linguistic structure designed to prevent semantic…

Steven Haynes

Strong Kleene Connectives

Strong Kleene connectives are logical operators in three-valued logic designed by Stephen…

Steven Haynes

Simple Type Theory

Simple type theory organizes objects into a hierarchy of types, classes, and…

Steven Haynes

Recursion Theorem

The recursion theorem, fundamental in computability theory, allows a function to call…

Steven Haynes

Ramified Theory of Types

An extension of the simple theory of types, the ramified theory introduces…

Steven Haynes

Propositional Logic

Propositional logic is a fundamental branch of logic focusing on propositions as…

Steven Haynes

Necessitation Rule in Modal Logic

The necessitation rule in modal logic states that if a proposition is…

Steven Haynes

Logic Gates: The Building Blocks of Digital Circuits

Logic gates are fundamental electronic components that perform basic logical operations. They…

Steven Haynes

Law of Non-Contradiction

A cornerstone of classical logic, the law of non-contradiction asserts that a…

Steven Haynes

Frege’s Theorem

Frege's theorem establishes that arithmetic is reducible to logic. It demonstrates how…

Steven Haynes