The reticent and relentlessly abstract logician Kurt Gödel might seem an unlikely candidate for popular appreciation. But that’s what Rebecca Goldstein aims for in her new book Incompleteness, an ...

In 1931, the Austrian logician Kurt Gödel pulled off arguably one of the most stunning intellectual achievements in history. Mathematicians of the era sought a solid foundation for mathematics: a set ...

Exploring the possibilities of unfamiliar artefacts and perceptual technologies, the incompleteness theorem promises to distract and disorientate in the service of a feedback system of mirrors, lights ...

Gödel's Incompleteness Theorem, which proved that no formal mathematical system can demonstrate every mathematical truth, is a landmark of modern thought. It's a simple but profound statement, but the ...

"All Cretans are liars", said Epimenides, a Cretan. But this means that his statement must be a lie too. But then it is false that Cretans are liars and the statement must be true. So what now?

Gödel has argued that we can cultivate the intuition or 'perception' of abstract concepts in mathematics and logic. Gödel's ideas about the intuition of concepts are not incidental to his later ...

In his “incompleteness theorems,” Austrian mathematician and philosopher Kurt Gödel (1906-1978) showed that even in mathematical systems, all truths cannot be proven and are therefore inconsistent and ...

I greatly enjoyed Palle Yourgrau’s essay (“Gödel and Einstein: Friendship and Relativity,” The Chronicle Review, December 17). This otherwise excellent piece contains one dubious assertion, however: ...