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Gödel’s Incompleteness Theorem and the Limits of AI
Can AI ever truly understand reality? Gödel’s revolutionary theorem suggests there may be fundamental limits to every algorithmic system.
Meteorology Is NOT Just Weather Forecasting — It’s One of the Hardest Applications of Mathematics
Behind every weather forecast lies a world of differential equations, chaos theory, supercomputers, and artificial intelligence.
The Myth of “Moreover”: Can You Really Detect AI Writing?
Can a single word reveal that a text was written by AI? The internet says yes. Reality is far more complicated.
The Romanian President, Terence Tao, and the Legendary IMO Problem 6
In 1988, only 11 students solved the legendary Problem 6 of the IMO. Among them was Romania’s future president.
How Do Scientists Separate U-235 from U-238? Inside Uranium Enrichment
The extraordinary process that separates nearly identical uranium isotopes and powers the modern nuclear age.
How Ten Minutes a Day Became a Masterpiece
How a French chancellor transformed forgotten moments into a three-volume intellectual achievement.
The Hotel with Infinite Rooms — Hilbert’s Most Beautiful Paradox
A hotel with infinitely many occupied rooms somehow always finds space for more guests. Hilbert’s Hotel remains one of the strangest ideas in mathematics.