An independence result demonstrates that a statement is neither provable nor disprovable within a specific axiomatic system, assuming the system's…
Indefinite extensibility describes collections, like the set of all sets, that cannot be fully listed. Any enumeration attempt can always…
An indefinite description refers to any member of a class, not a specific individual. It's used when the identity of…
Inconsistent arithmetic refers to a mathematical system where contradictions can be proven, violating the fundamental principle of consistency. This makes…
Inconsistency arises when a system contains contradictory elements, making it impossible for all statements to be true simultaneously. This fundamental…
Gödel's incompleteness theorems reveal fundamental limits of formal systems. They demonstrate that any consistent system powerful enough for arithmetic will…
The property of a logical or mathematical system where not all true statements can be proven within the system's own…
The inclusive OR, a fundamental logical operation, evaluates to true if at least one of its operands is true. It's…
Inclusive first-order logic is a flexible variant that permits empty domains, unlike standard first-order logic which mandates at least one…
Inclusive disjunction, also known as logical OR, is a fundamental operation in logic and computer science. It yields true if…