The property of a logical or mathematical system where not all true statements can be proven within the system's own…
An impredicative definition defines an object in terms of a totality to which the object itself belongs. This can lead…
Impossibility defines the state of something being not possible, whether due to logical contradictions or physical limitations. It's a fundamental…
Immediate inference is a direct reasoning process where a conclusion is drawn from a single premise. It bypasses intermediate steps,…
A dilemma presents two equally undesirable choices, often referred to as its 'horns.' Navigating these difficult situations requires careful consideration…
Higher-order vagueness concerns the application of vagueness itself, especially with predicates that are borderline cases of borderline cases. It explores…
Harmony in logic signifies a balance in introduction and elimination rules for logical connectives. This ensures connectives neither over-promise nor…
A truth-value gap occurs when a statement lacks a definite truth value (true or false). This concept is crucial in…
A formal consequence is a conclusion derived solely from the logical form of propositions, independent of their content. It contrasts…
Falsity describes the state of being untrue or incorrect. It encompasses deliberate deception and unintentional errors, impacting communication, decision-making, and…