When reading the works of great Austrian economics thinkers such as Henry Hazlitt or Robert Murphy. A lot of their work is ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Some people waited years for a “Backrooms” movie. Others thought it was just another original horror movie produced by A24. If you’re part of the latter camp, you probably don’t know how deep the lore ...

What Did Gödel's Incompleteness Theorems Deny? —Reading Them as a Blow to Logicism Rather Than the Hilbert Program Gödel's incompleteness theorems are often explained as the theorems that "caused the ...

Last week I explained how a then 25-year-old logician, Kurt Gödel, overturned a basic assumption of many mathematicians in the early 20th century. Even as experts were building a seemingly firm ...

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. My friends and colleagues often ask me to ...

My friends and colleagues often ask me to help with number-related questions. After all, I know a lot about math. Ironically, I'm actually quite bad at mental arithmetic. What many people don't ...

Rick and Morty Season 9 premiered Sunday night on Adult Swim with an episode that embedded three distinct and rigorous scientific and mathematical frameworks into its plot mechanics — not as ...

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At 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” Columnist Natalie Wolchover explores the implications. In 1931, by turning logic on itself, Kurt Gödel proved a pair ...

Kurt Gödel, the man who ruined mathematics, was one of the most important thinkers of the 20th century. He was born in 1906, smack-bang in the middle of the greatest crisis that maths has ever known.

In the Remarks on the Foundations of Mathematics, Wittgenstein discusses in detail the significance of the Gödelian “true but unprovable” proposition. Despite the negative reviews of early ...