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.
New research from UBC Okanagan mathematically demonstrates that the universe cannot be simulated. Using Gödel’s incompleteness theorem, scientists found that reality requires “non-algorithmic ...
In mathematics, proofs can be written down and shared. In cryptography, when people are trying to avoid revealing their secrets, proofs are not always so simple—but a new result significantly closes ...
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 ...
According to Lex Fridman's conversation with Joel David Hamkins (@JDHamkins) on X (Dec 31, 2025), key topics including Gödel's incompleteness theorems, mathematical multiverse theory, paradoxes, and ...
According to Lex Fridman's conversation with Joel David Hamkins (@JDHamkins) on X (Dec 31, 2025), key topics including Gödel's incompleteness theorems, mathematical multiverse theory, paradoxes, and ...
The Axiom of Choice became one of the most feared and contested ideas in mathematics. It created elegant theorems and nightmares. From Zermelo to Gödel, we explore how brilliant minds wrestled with ...
For centuries, mathematics was seen as the one field built on absolute certainty. But a deeper look into logic reveals a flaw at the core of the entire system one that even the greatest minds couldn’t ...
A recent addition to the Quarterly Journal of Austrian Economics: ABSTRACT: This article aims to flesh out the implication of Kurt Gödel’s incompleteness theorems for the computability of social ...