Henkin semantics offers a flexible alternative to standard first-order semantics, allowing quantifiers to range over restricted domains within models. This…
A hasty generalization occurs when a conclusion is drawn from insufficient or biased evidence, essentially making a broad claim based…
Harmony in logic signifies a balance in introduction and elimination rules for logical connectives. This ensures connectives neither over-promise nor…
The halting problem asks if it's possible to determine if any given program will halt or run forever. Alan Turing…
The Grelling paradox explores self-reference in language. It questions whether the word 'heterological' (not describing itself) applies to itself, leading…
Gödel's slingshot argument challenges theories distinguishing facts from true propositions. It questions the coherence of fine-grained semantic distinctions, impacting truth…
Gödel's second incompleteness theorem states that no consistent formal system strong enough to include basic arithmetic can prove its own…
Gödel's First Incompleteness Theorem states that any consistent formal system capable of basic arithmetic contains true statements that are unprovable…
A distinct intuitionistic logic, Gödel-Dummett logic incorporates a principle of maximal elements. This allows it to articulate specific intermediate truth…
A self-referential sentence in formal systems, a Gödel sentence demonstrates incompleteness theorems by asserting its own unprovability within that system.…