Indefinite Extensibility
Indefinite extensibility describes collections, like the set of all sets, that cannot…
Indefinite Descriptions
An indefinite description refers to any member of a class, not a…
Inconsistent Arithmetic: When Logic Fails
Inconsistent arithmetic refers to a mathematical system where contradictions can be proven,…
Gödel’s Incompleteness Theorems
Gödel's incompleteness theorems reveal fundamental limits of formal systems. They demonstrate that…
Incompleteness in Logic and Mathematics
The property of a logical or mathematical system where not all true…
Inclusive OR: Understanding Logical Disjunction
The inclusive OR, a fundamental logical operation, evaluates to true if at…
Inclusive First-Order Logic Explained
Inclusive first-order logic is a flexible variant that permits empty domains, unlike…
Inclusive Disjunction (Logical OR)
Inclusive disjunction, also known as logical OR, is a fundamental operation in…
Impredicative Definitions in Mathematics and Logic
An impredicative definition defines an object in terms of a totality to…
Impossible World in Modal Logic
A hypothetical construct in modal logic, the impossible world represents a state…