logic

Indefinite Extensibility

Indefinite extensibility describes collections, like the set of all sets, that cannot be fully listed. Any enumeration attempt can always…

5 days ago

Indefinite Descriptions

An indefinite description refers to any member of a class, not a specific individual. It's used when the identity of…

5 days ago

Inconsistent Arithmetic: When Logic Fails

Inconsistent arithmetic refers to a mathematical system where contradictions can be proven, violating the fundamental principle of consistency. This makes…

5 days ago

Understanding Inconsistency in Logic and Systems

Inconsistency arises when a system contains contradictory elements, making it impossible for all statements to be true simultaneously. This fundamental…

5 days ago

Incompleteness in Logic and Mathematics

The property of a logical or mathematical system where not all true statements can be proven within the system's own…

5 days ago

Impredicative Definitions in Mathematics and Logic

An impredicative definition defines an object in terms of a totality to which the object itself belongs. This can lead…

5 days ago

Impossible World in Modal Logic

A hypothetical construct in modal logic, the impossible world represents a state of affairs that cannot possibly exist. It's a…

5 days ago

Impossibility: Understanding What Cannot Be

Impossibility defines the state of something being not possible, whether due to logical contradictions or physical limitations. It's a fundamental…

5 days ago

Implicit Definition

An implicit definition defines an entity by its relationships to other concepts rather than by direct enumeration of its properties.…

5 days ago

Immediate Inference

Immediate inference is a direct reasoning process where a conclusion is drawn from a single premise. It bypasses intermediate steps,…

5 days ago