Alignment - A Mechanistic Account of Consciousness
The Mathematics Bridge
THE MATHEMATICS BRIDGE: HOW NOTHING BECOMES SOMETHING A Summary of Recent Discussions on Emergence, Oscillation, and the Role of Mathematics For the curious freshman who suspects the universe is stranger than it looks 1. The Problem That Won't Go Away There is a question that sits at the back of physics and philosophy like a stone in a shoe. It was named by the physicist Eugene Wigner in 1960 as "the unreasonable effectiveness of mathematics in the natural sciences." Here is the puzzle in plain English: mathematicians invent structures — numbers, geometries, equations — by thinking alone. They do not run experiments. They do not look through telescopes. They work with pure logic, pure pattern, pure concept. And yet, when physicists later go looking for the laws that govern the actual universe, they routinely find that the mathematicians' abstract inventions fit the real world with impossible precision. This is not a small thing. The equations that p...
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