Higher-Order Vagueness
Higher-order vagueness concerns the application of vagueness itself, especially with predicates that are borderline cases of borderline cases. It explores the fuzzy boundaries of fuzzy concepts.
Higher-Order Quantifiers
A higher-order quantifier binds variables that range over properties, relations, or functions, rather than individuals. This allows for more expressive logical statements and complex reasoning.
Higher-Order Logic
Higher-order logic extends first-order logic by enabling quantification over predicates and other higher-order entities. It offers greater expressive power for formal reasoning and knowledge representation.
Understanding Hierarchy: Concepts, Types, and Applications
A hierarchy ranks entities based on criteria, seen in organizational structures and set theory. Tarski's and cumulative hierarchies are key examples. It organizes complex systems effectively.
Heterological: Understanding Self-Referential Paradoxes
Explore heterological, an adjective describing terms that do not apply to themselves. Discover its implications in language, logic, and the fascinating world of paradoxes and self-reference.
Hereditary Property
A hereditary property in mathematics and logic is a characteristic that, if held by an object, is also present in all its constituent subobjects or elements. This concept is fundamental…
Henkin Sentence
A Henkin sentence is a self-referential statement that asserts its own provability within a formal system. It's a foundational concept in Gödel's incompleteness theorems, demonstrating limits of formalization.
Henkin Semantics
Henkin semantics offers a flexible alternative to standard first-order semantics, allowing quantifiers to range over restricted domains within models. This generalization enhances expressive power in formal logic.
Hasty Generalization Fallacy
A hasty generalization occurs when a conclusion is drawn from insufficient or biased evidence, essentially making a broad claim based on a tiny sample size.
Harmony in Logic and Philosophy
Harmony in logic signifies a balance in introduction and elimination rules for logical connectives. This ensures connectives neither over-promise nor under-deliver, maintaining logical integrity and consistency in reasoning.