ELI5: Explain Like I'm 5

Aristotle's wheel paradox

Aristotle was a very smart man who loved to think about big ideas. One day, he started thinking about round things, like wheels. He asked himself a question: “If a wheel rolls in a straight line, how does each point on the wheel move?”

To answer this question, Aristotle thought about a wheel that was perfectly round, like a circle. He imagined drawing a line down the middle of the circle, and then he imagined that the wheel was rolling along this line.

Now, for a moment, imagine that your bike is the wheel Aristotle is thinking about. If you ride your bike straight down the road, you don't have to pedal all the time, right? The bike keeps moving forward easily, almost like it's coasting. That's kind of how Aristotle imagined the wheel moving – coasting along in a straight line.

But Aristotle realized that this made no sense because if every point on the wheel travels in a straight line, then how do they all come together to make the wheel roll? He was confused!

In other words, the wheel had to move in a straight line, but it also had to rotate around its center in a circular motion. These two movements seemed to contradict each other.

This is what we call the Wheel Paradox. It is a puzzle that people still study and try to explain today!
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