"Master Leibniz, isn't this a simple math problem?" Tik asked, puzzled.

Not to mention that they are wizards who are proficient in Olympiad mathematics, even an apprentice can do it.

Alva and the others are also extremely disappointed, and this is the problem that plagues the entire Olympiad world? That's it?

"Do you really think it's easy?" Leibniz looked at the crowd and said regretfully. "It's not a question of when, but why."

"Zeno told me that at his speed, it would take ten seconds to reach the starting point of the turtle!

But by the time he arrived, the turtle had already moved a meter away, and although the distance between the two of them had been much closer, there was still a distance of one meter, so it would take him another tenth of a second to reach the turtle's current location. However, at this point, the turtle had already traveled another distance, so he had to catch up with the turtle in a thousandth of a second......"

As he spoke, Leibniz stretched out his right hand and used his magic to draw a line in the air as the beginning and end of the track, and then used red light to indicate the distance that Zeno was traveling, and green light to indicate the distance that the turtle was traveling, and the two were constantly getting closer, but there was always a slight distance between them, even if the distance was small, it was always there......

Zeno, who was running wildly, seemed to be unable to catch up with the slow turtle in front of him no matter what......

Tik and the others froze in place with dull expressions, the expressions on their faces gradually turned solemn, and they soon fell into deep thought.

This theory is easy to understand, the wizard named Zeno must pass through the starting point of the other party in the process of chasing the turtle, and when he reaches this starting point, the turtle climbs forward for a while, which means that there is a new starting point waiting for him, so that the cycle can be repeated infinitely......

Alva meditated, always feeling that something was wrong, but he couldn't think of what was wrong.

He didn't know that this was a feeling of contradiction between reality and mathematical logic.

Tik was almost stunned, and it took a while for him to suddenly react. "Wait, Master Leibniz, anyway, at the eleventh second, Zeno can always catch up with the turtle, right?"

"That's the problem, my friends!" Leibniz nodded, then accentuated his tone. "If time and space are infinite and can be divided, then logically the latecomers in the race will never be able to overcome the former, because there are countless hundredths between them.

This distance is infinitely long in a sense, after all, it can be divided into countless equal parts! ”

"But since Zeno must be able to catch up with the turtle, does that mean that in our world, space and time are not continuous, but there is a minimum scale of space and time, and it is precisely because Zeno, as a latecomer, crossed this minimum scale at some point, so he caught up with the turtle that came first......"

"Your thoughts are so thought-provoking, Master Leibniz!" Alva let out a breath and said admiringly.

Only then did the wizards understand that the two masters of Olympian mathematics were not really entangled in a so-called racing problem, and the key to the debate was whether a value could be infinitely subdivided, and the question of whether there was a minimum scale of time and space.

"So, you've come to a conclusion and won this dispute, haven't you?" Tik spoke freely, and he really admired the creative thinking of deducing that there may be the smallest scale of time and space in a race that must be won!

"No, because I wouldn't be able to answer his second question!" Leibniz said with some distress.

And a second question? Alva and the others suddenly felt a tingling in their scalps.

Leibniz stretched out his hand, and an iron arrow appeared in the void, nailed to the bookshelf next to it at great speed, and then turned to look at several people, and asked.

"Do you think the arrow that went out moved or didn't move?"

It was another question that was so simple that it could be answered without thinking, but Tike and Ellison hesitated for a long time this time, thinking about whether there would be any deeper meaning in it.

Alva on the side didn't care so much, and said categorically. "Moved, of course!"

He witnessed it with his own eyes, and it was right in front of him, even if the other party said the flower, it couldn't change this fact!

"According to what we just said, there is a minimum scale of time, so in each of the smallest scales, does this iron arrow have a definite position, and does it occupy the same space as its volume?" Leibniz continued.

Alva frowned and pondered for a long time before speaking cautiously. "I think so."

"So, regardless of other factors, is this arrow moving or not moving at this moment?" Leibniz continued.

"Nature is immovable!" Alva responded with certainty.

Tik and the others also nodded, as long as the time stopped at a certain point in time, then they would naturally be able to see a hovering iron arrow.

"Since this one moment is immobile, what about the others?"

"It should ...... Also immovable? Alva said uncertainly.

"That means it's stationary at every point in time, so the arrows fired don't move, right?" Leibniz finally asked.

"Of course......" Alva hesitated in response, and then the whole person was stunned, how could a flying arrow not move?

Tik, Ellison, and the others frowned one by one.

If Leibniz's previous statement was correct, that time exists at the smallest scale and cannot be divided, then according to the logic just now, every moment of the iron arrow is stationary, and the flying arrow cannot be in a state of motion, after all, how can a thing that has always been stationary say that it moves?

Could it be that the sum of the infinite resting positions is equal to the motion itself? Or is the infinite repetition of stillness motion?

If Leibniz is wrong, there is no such thing as a minimum scale, time can be infinitely subdivided, everything is continuous, then the flying arrow will naturally be in a state of constant motion, and the basis of this paradox will no longer exist.

But wouldn't Zeno never be able to surpass the tortoise?

Everyone present suddenly felt that they were caught in a huge whirlpool, swaying left and right in the movement and stillness of the iron arrow, and the paradox of whether Zeno would catch up with the turtle, and their brains seemed to burst......

Leibniz looked at Tick and the others who were meditating, and couldn't help but smile, these two paradoxes seem simple, but if they are put in the seventeenth and eighteenth centuries, they will cause a second mathematical crisis!