Neo-logicism revives the logicist project of grounding mathematics in logic. It addresses criticisms of traditional logicism with new insights and…
Neo-Fregeanism revives Frege's logicist project, aiming to base mathematics on logic. It utilizes Hume's Principle and other axioms to ground…
Negation elimination is a fundamental rule in natural deduction. It permits inferring a conclusion by negating a premise, provided it…
The set of positive integers, often denoted by N, typically including zero. Natural numbers form the foundation for counting, ordering,…
Natural deduction is a system of logical inference that aims to emulate human reasoning. It uses introduction and elimination rules…
An n-ary relation connects 'n' elements, generalizing binary relations. It's fundamental in mathematics and computer science for describing complex relationships…
An n-ary function accepts 'n' arguments, where 'n' is a natural number. This generalizes binary functions to handle any number…
Mutually exclusive events cannot happen simultaneously. If one occurs, the other is impossible. This concept is fundamental in probability, impacting…
Monotonicity is a property that preserves order. In logic, it means adding premises doesn't invalidate existing conclusions. In functions, it…
A monomorphism is a left-cancellable morphism in category theory. If f ∘ g = f ∘ h, then g =…