- #1
Johnny5454
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if zeno's paradoxes are true and motion is impossible, then how does an electron reach the electrostatic field of another electron?
In summary, Zeno's paradoxes are not true and motion is possible. The invention/discovery of instantaneous velocity has solved these paradoxes and they are not actually paradoxes, but rather infinite series created from simple situations. The mathematics about limits has evolved enough to solve these problems. The assumption that measuring the velocity of an object at an instant in time will result in a velocity of zero is false. Therefore, the original question about how an electron reaches the electrostatic field of another electron based on these paradoxes is invalid.
- #2
Vanadium 50
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Johnny5454 said:
Motion is possible. Your fingers moved as you typed your message, did they not?
- #3
berkeman
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False premise. That was easy...Johnny5454 said:
- #4
DaveC426913
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Yeah. I'm not sure what the problem is here. They aren't true.
I believe it was the invention/discovery of instantaneous velocity that solved them.
His paradoxen are based on the assumption that, if one measures the velocity of an object at an instant in time (i.e. duration = zero), one must get velocity of zero. Not true.
I believe it was the invention/discovery of instantaneous velocity that solved them.
His paradoxen are based on the assumption that, if one measures the velocity of an object at an instant in time (i.e. duration = zero), one must get velocity of zero. Not true.
- #5
LuisP
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None of the Zeno's paradox is in fact a paradox. He simply created infinite series from simple situations, but the mathematics about limits was evolved enough to solve the problems he had created.
- #6
PeterDonis
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Johnny5454 said:
As several posters have already remarked, they aren't.
Since the OP question is based on a mistaken premise, this thread is closed.
1. What is Zeno's paradox of motion?
Zeno's paradox of motion is a series of philosophical arguments that question the concept of motion and whether it is possible to move from one point to another.
2. How many paradoxes did Zeno propose?
Zeno proposed four paradoxes of motion, which are commonly known as the dichotomy paradox, the Achilles and the tortoise paradox, the arrow paradox, and the stadium paradox.
3. What is the dichotomy paradox?
The dichotomy paradox states that in order to reach a destination, one must first cover half the distance, then half of the remaining distance, and so on. This creates an infinite number of smaller distances to cover, making it impossible to ever reach the destination.
4. How do these paradoxes challenge the concept of motion?
Zeno's paradoxes challenge the concept of motion by suggesting that it is impossible to move from one point to another because there are an infinite number of smaller distances that must be crossed in order to reach the destination.
5. How have these paradoxes been resolved in modern physics?
Modern physics has resolved Zeno's paradoxes by understanding that motion is continuous and can be divided into infinitely small distances. This concept is known as calculus and has been used to explain the paradoxes in a logical and mathematical way.
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