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The Jagged, Monstrous Function That Broke Calculus | Quanta Magazine

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

Click to view the original at quantamagazine.org

Hasnain says:

“In 1872, Weierstrass published a function that threatened everything mathematicians thought they understood about calculus. He was met with indifference, anger and fear, particularly from the mathematical giants of the French school of thought. Henri Poincaré condemned Weierstrass’ function as “an outrage against common sense.” Charles Hermite called it a “deplorable evil.””

Posted on 2025-01-25T22:17:26+0000