# Exploring the Paradox of Movement: Is it Possible?

• ghostman97
In summary, the author is trying to conclude that movement would be impossible, but they are unsure if this is true or not.
ghostman97
i'm trying to conclude on HOW this would be possible... though its a paradox doesn't it seem very possible?

in case you don't know what it is its saying movement is immpossible. Example to get from point a to point b you have to go halfway but before you get from point A to A1/2 you have to get halfway there and so on

Hi ghostman97!

Which paradox are you referring to? Zeno has formulated 3 paradoxes (and maybe more).

• Achilles can never catch the turtle.
• An arrow can never reach his goal.
• How can an arrow move if it's standing still at each instance.

basically an arrow can never reach his goal

Hmm, let's see if I can explain this nicely. I'm usually quite bad at such things.

Firstly, the paradox assumes that we can keep dividing the remaining distance. But this is not possible since there is a smallest distance: the Planck length. (but you might want an actual physicist to explain this correct/better).

But let's say that we could keep on dividing, how could the paradox fail? Well, the thing is that the time required to walk all these distance decreases exponentially. When we walk the first part, we might take 1 second, when we walk the second part, we take 0.5 seconds. When we walk the third part we take 0.25 second. In total, it would take us

$$\sum_{n=0}^{+\infty}{\frac{1}{2^n}s}=2s$$

the thing is that this sum converges and thus the number of second to walk the entire distance is finite. So we can complete an infinity of distances in a finite time!

However, if the paradox says: "walk the first distance, then wait for 1s. Walk the second distance, then wait for 1s. Walk the third distance, then wait for 1s..." Then this is indeed not possible to perform, as it would take an infinite amount of time to do so.

so what your concluding is that movement would be "impossible"

micromass said:
So we can complete an infinity of distances in a finite time!

ghostman97 said:
so what your concluding is that movement would be "impossible"

Have you actually read micromass answer before responding? He clearly stated: "we can". Thats opposite of "impossible".

## 1. Is it really possible to explore the paradox of movement?

Yes, it is possible to explore the paradox of movement. Scientists and researchers have been studying this topic for centuries and continue to make new discoveries and theories about it.

## 2. What is the paradox of movement?

The paradox of movement refers to the philosophical question of how something can be in motion when it is made up of individual parts that are not moving. It is a complex concept that has puzzled scientists and philosophers for centuries.

## 3. How do scientists study the paradox of movement?

Scientists study the paradox of movement through various methods, including conducting experiments, observing natural phenomena, and analyzing mathematical and philosophical theories. They also use advanced technologies, such as high-speed cameras and motion sensors, to better understand movement.

## 4. What are some theories about the paradox of movement?

There are several theories about the paradox of movement, including Zeno's paradox, which argues that motion is an illusion, and Aristotle's theory of potentiality and actuality, which suggests that objects have the potential to move but require an external force to be put into motion.

## 5. Why is it important to explore the paradox of movement?

Studying the paradox of movement can help scientists and philosophers better understand the fundamental principles of motion and the nature of reality. It also has practical applications in fields such as physics, engineering, and medicine.

Replies
4
Views
3K
Replies
2
Views
1K
Replies
2
Views
5K
Replies
6
Views
1K
Replies
21
Views
4K
Replies
8
Views
2K
Replies
11
Views
2K
Replies
14
Views
2K
Replies
85
Views
5K
Replies
98
Views
4K