Indefinite Extensibility
Indefinite extensibility describes collections, like the set of all sets, that cannot…
Inconsistent Arithmetic: When Logic Fails
Inconsistent arithmetic refers to a mathematical system where contradictions can be proven,…
Understanding Inconsistency in Logic and Systems
Inconsistency arises when a system contains contradictory elements, making it impossible for…
Incompleteness in Logic and Mathematics
The property of a logical or mathematical system where not all true…
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…
Impossibility: Understanding What Cannot Be
Impossibility defines the state of something being not possible, whether due to…