Negation introduction is a natural deduction rule enabling the derivation of negation. It typically involves assuming the opposite and deriving…
Negation elimination is a fundamental rule in natural deduction. It permits inferring a conclusion by negating a premise, provided it…
Negation consistency ensures a logical system is free from contradictions, meaning no statement and its negation can both be proven…
Negation completeness signifies a logical system's ability to prove either any given statement or its negation. This ensures that no…
The necessitation rule in modal logic states that if a proposition is provable (a theorem), then its necessity is also…
Natural deduction is a system of logical inference that aims to emulate human reasoning. It uses introduction and elimination rules…
Multi-modal logic extends classical modal logic by integrating multiple distinct types of modalities. It handles variations in necessity, possibility, knowledge,…
A syllogistic mood refers to the arrangement of the types of propositions (A, E, I, O) in a categorical syllogism.…
Monotonic logic ensures that adding new information never invalidates existing conclusions. This property guarantees that derived truths remain valid as…
A monadic relation, also known as a unary relation, describes a property or characteristic of a single entity. It's a…