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Much ingenuity has been used to explain Zeno's paradoxes. But might not the simplest answer be that movement is indeed an illusion? (For example if we are living in a computer simulation or whatever.)

2007-04-12 22:30:06 · 1 answers · asked by 2kool4u 5 in Science & Mathematics Mathematics

1 answers

No, the simplest answer might be that Zeno was wrong.

That was actually the whole point of his paradoxes: to point out that there was something fundamentally wrong with the mathematical logic being used, since it led to a conclusion that was clearly seen to be false.

This doesn't really have any bearing on whether or not actual movement is an illusion. It is, like all mathematical arguments, ultimately a statement about the consequemces of the mathematical formalism, and doesn't have to have any connection to the real world in order to be valid. It's just that making real-world analogies makes it a lot easier to understand.

The fundamental flaw in Zeno's paradoxes was to give a process of dividing a finite quantity into an infinite number of finite pieces, while at the same time believing that an infinite number of finite pieces could never sum to a finite quantity. There is an obvious contradiction here, which was resolved by recognising that an infinite number of finite terms could indeed have a finite sum if the terms got small enough quickly enough.

2007-04-12 22:49:06 · answer #1 · answered by Scarlet Manuka 7 · 0 0

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