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…
Impossibility: Understanding What Cannot Be
Impossibility defines the state of something being not possible, whether due to…
Understanding the Horns of a Dilemma
A dilemma presents two equally undesirable choices, often referred to as its…
Higher-Order Vagueness
Higher-order vagueness concerns the application of vagueness itself, especially with predicates that…
Harmony in Logic and Philosophy
Harmony in logic signifies a balance in introduction and elimination rules for…
Formal Consequence: Logic’s Pure Structure
A formal consequence is a conclusion derived solely from the logical form…
Falsity: Understanding the Nature of Untruth
Falsity describes the state of being untrue or incorrect. It encompasses deliberate…