Quine's New Foundations is a set theory designed to bypass paradoxes of naive set theory. It uses a unique axiom…
Negation consistency ensures a logical system is free from contradictions, meaning no statement and its negation can both be proven…
Natural deduction is a system of logical inference that aims to emulate human reasoning. It uses introduction and elimination rules…
A specialized field of logic focusing on the properties, composition, and inversion of relations, and their interplay with logical operators.…
The logic of attributes extends first-order logic by incorporating attribute-value pairs. It's crucial for representing and reasoning about objects with…
A limitation result defines the boundaries of what can be achieved in a logical or mathematical system. It often signifies…
Language is a fundamental human communication system for cooperation, expressing ideas, and emotions. It encompasses natural and formal systems, crucial…
A formal system for natural language syntax modeling, rooted in categorial grammar. It focuses on operations and types to analyze…
A formal system for computation based on function abstraction and application. It uses variable binding and substitution to express computation,…
A logic designed for higher-order quantification and modalities. It emerged from discussions on the foundations of mathematics by Kreisel and…