A Henkin sentence is a self-referential statement that asserts its own provability within a formal system. It's a foundational concept…
The Grelling paradox explores self-reference in language. It questions whether the word 'heterological' (not describing itself) applies to itself, leading…
A self-referential sentence in formal systems, a Gödel sentence demonstrates incompleteness theorems by asserting its own unprovability within that system.…
Gödel numbering assigns unique natural numbers to symbols, formulas, and proofs in formal systems. This allows mathematical statements to be…
Eubulides of Miletus proposed several paradoxes, most famously the Liar Paradox. These logical puzzles highlight contradictions arising from self-referential statements,…
The Epimenides paradox, also known as the liar paradox, arises from Epimenides' statement that all Cretans are liars. If true,…
A crucial lemma in Gödel's incompleteness theorems. It states that for any formula with one free variable, there exists a…
Curry's paradox is a logical paradox that emerges from self-referential statements asserting their own unprovability. It challenges the consistency of…