Most scientific & mathematical disciplines I know of have results that educated outsiders can appreciate and go "wow" after a brief acquaintance, even without understanding the details. Does anyone know of such a result for category theory?
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An example, from general relativity: "If you're on a spaceship, and carry a really good clock down near to the event horizon of a black hole, and come back, you'll find that time has slowed down relative to people who didn't go on the trip". Dwell on that, & it's mindblowing.
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Or an example from complex analysis: suppose you have a function that's analytic everywhere in the complex plane. Than integrate it round a closed curve in the complex plane, and you'll find that you get 0. Again, it's mindblowing!
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For the last, you need to know what analytic means: (f(z+epsilon)-f(z))/epsilon approaches a constant limit as epsilon approaches 0, everywhere. Intuitively, the key thing going beyond real differentiability is that epsilon can approach 0 from any direction in the complex plane
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If these planets go in straight lines sir, why does the gravity of the sun pull them in oval like shapes? Does the gravity from other planets affect objects in space too? Does a planets material compounds effect its gravitational force or pull? Hypothetically speaking that is ?
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Does a planet made of gas like Jupiter; have more or less pull than say Saturn? If a ball of gas is lighter than a ball of stone would it’s force be equal or would the core affect; unknown, “side effects”4 example are the rings around Saturn asteroids caused from random objects?
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