This article is from Proof Positive, our friendly math newsletter that's delivered to your inbox every Tuesday afternoon. Sign up today and read it first. Last week I explained how a then 25-year-old ...
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 ...
"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?
Philosophy of science is often dismissed as useless by practicing scientists. From young researchers scrambling to get tenure or finish a dissertation, to industry scientists buried under a mountain ...
In 1979, a cult book by Douglas Hofstadter explored consciousness via a mathematical idea found in art and music. Now, in the AI revolution, that concept could solve a vital question This year is 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?
In today's computer age, the implications of the discovery in formal logic that Newman and Nagel articulated in 1958 are of even broader interest, says Andrew Hodges. New York University Press: 1958.
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