Impossibility defines the state of something being not possible, whether due to logical contradictions or physical limitations. It's a fundamental…
Logical implication connects two statements: if the first (antecedent) is true, the second (consequent) must also be true. It's a…
Imperative logic is a formal system for analyzing commands and imperatives, differing from traditional logic focused on declarative statements. It…
Immediate inference is a direct reasoning process where a conclusion is drawn from a single premise. It bypasses intermediate steps,…
Iff, short for 'if and only if,' is a crucial logical connective indicating mutual implication. It establishes a biconditional relationship…
Identity signifies the unique relation of an entity to itself, embodying the principle that something is fundamentally the same as…
A hypothetical syllogism is a logical argument with two conditional statements and a conclusion. It establishes a relationship between the…
Hybrid logic enhances modal logic by allowing direct reference to specific worlds within models. This increases expressiveness, enabling more precise…
An ambitious project by David Hilbert to formalize all mathematics and prove its consistency using finitary methods. It aimed to…
A higher-order variable represents functions, predicates, or relations, distinguishing it from variables that denote individual objects. This concept is fundamental…