2. Zeno's Turtle who will never catch up
[The current area is Campania Region in southern Italy]
"It's just a blink of an eye that's here..."
He Dou looked at everything around him and fell into silence.
After he took over the task of changing jobs for a novice, General Network asked him whether he would go to the task location.
The next second after He Dou agreed, the original scenery in front of him was filled with this endless sea.
In front of you is the endless sea, and behind it is the barren and vast land.
He Dou opened his arms and slowly closed his eyes in the direction of the sea breeze.
The sea breeze with water vapor and salty and wetness hits the face, and that feeling is so real.
"Hahaha, so all this... is certainly true." He Dou chuckled twice, then calmed down.
It is natural for him to have suspicion of the so-called comprehensive network suddenly.
But now it's OK.
The power that brought him here in an instant is definitely not something that the real city should have.
"Chongqing.com, can you introduce my profession?"
He Dou said so.
[Player Your profession has undergone unknown changes due to the influence of talent.]
[All players receive a profession task every ten levels, and after completing the task, they can obtain items related to the profession.]
[Due to player talent transformation, your summoner profession is "unknown" and cannot actively summon pets, and can only obtain pets from professional tasks.]
[Your level is currently level 0, and you will be performing your first career task soon. It is also a task for you to change your job to "unknown" one.]
"Ah......"
He Dou looked at the narrative on the panel of the Comprehensive Network and wanted to delete the account and replay it.
The 12.0 version of the Comprehensive Network he randomly selected is obviously a version of the summoner being a father.
The summoner profession has ushered in epic strengthening, and has also banned all professions except the summoner profession.
As a result, He Dou became a summoner who could only summon once at level ten because of his talent.
Who doesn’t play the tactics of a serious summoner?
"My talent??? It seems that it's all about pulling me back..."
He Dou thought carefully.
"But the stronger the profession, the more restrictions it will be. Maybe this is talent??? Is my profession too powerful? That's why there is such a restriction?"
He Dou thought for a while, then said to the General Network panel: "Let me introduce the details of this initial task."
【Task details: From now on, you are Achilles, the son of the sea god, and your goal is to chase the turtle in front of you.】
[Task Reward: Player level is upgraded to level 1, open the "unknown" exclusive professional skill tree, and get the opportunity to summon pets*1]
The next moment, the world in front of me changed.
Endless brilliance emanated in front of your eyes.
When the light dissipated, a smooth road appeared in the middle of the sea level in front of me.
Just like Moses split the sea, a road extends straight out, and the sea water on both sides of the road hangs high without falling.
"Is this the track I use to chase turtles..." He Dou narrowed his eyes, shocked for a moment and didn't know what to say.
On the road in the sea, a turtle stood on it motionless.
He Dou looked down at himself, but saw that he had turned into a bare chest and exposed breasts, with only a few pieces of armor covering his body.
He held a round shield in his left hand and a sharp sword in his right hand, and behind him was a bright red cloak.
"This is completely a Spartan warrior outfit..." He Dou curled his lips helplessly.
This wild Spartan outfit is completely unsatisfactory to his appetite.
He Dou's eyes shiny slightly while feeling the current strength of his body.
This is an unprecedented sense of power.
Many times stronger than his previous sub-healthy body.
"My current identity is Achilles, the son of the sea god..." He Dou shook his wrist, thinking while carefully experiencing the feeling of this strange body.
Achilles and the Turtle's words...
Is it that story?
[The mission is about to begin, the turtle will start one hundred meters in front of the player. The player's speed is constant ten times the turtle. Please catch up with the turtle.]
After listening to the rules of the game, He Dou smiled.
"Actually, I want to experience the feeling of this son of the Sea God's body for a while, but after thinking about it carefully, I should finish the task of changing jobs for this novice as soon as possible." He Dou stopped twisting his wrist and looked at the comprehensive network panel in front of him.
"Since my speed is set to ten times that of a turtle, I can't catch up with a turtle without setting a limit on time, so this test will be known without comparing it."
A glimmer flashed in He Dou's eyes. This kind of obvious test is not required for the competition, so the mission of the General Network is not to let him really race against the turtle. The real mission must have a deeper meaning.
[When Achilles chased after 100 meters, the turtle had climbed forward for 10 meters; Achilles continued to chase, and when he chased after the 10 meters of the turtle, the turtle had climbed forward for 1 meter; Achilles could only chase after 1 meter in front, but the turtle had climbed forward for 1/10 meters; in this way, the turtle could always keep a distance from Achilles. No matter how small the distance was, as long as the turtle kept crawling forward, Achilles would never catch up with the turtle!]
[Players are requested to argue]
"This..." He Dou narrowed his eyes, "So it was a debate rather than a race..."
If I were foolishly racing against the turtle from the beginning, I would probably never catch up with the turtle in my life.
After all, the explanation given by the General Network panel of "never catch up with the turtle" does seem to make sense.
I'm afraid that if you don't give the answer to the General Network panel, you will really be like the sophistry of the General Network panel and will never catch up with the turtle.
"You are making a sophistry!"
The corners of He Dou's mouth curled up slightly. This kind of question can be easily answered as long as you have learned calculus or extreme questions.
“Infinite addition does not necessarily mean infinite!”
"Suppose the human speed is 10m/s and the turtle's speed is 1m/s"
"The first time a man chased the turtle, it took him 10 seconds. Within 10 seconds, the turtle ran another 10 meters. Then, when a man chased the 10 meters, it took him 1 second. The turtle advanced 1 meter in this second, and then the turtle took him 0.1 second to chase the turtle's current position. The turtle advanced 0.1 meters in 0.1 seconds..."
"And so on, in fact, the time Achilles really takes is only 1010.10.010.0010.0001...=11.1111111..."
"To put it bluntly, it's only twelve seconds."
"Achilles will definitely catch up with the tortoise in twelve seconds."
He Dou, who answered the answer in one breath, took a breath and made a pair of pushing glasses.
Although he does not wear glasses, pushing glasses always makes people feel a sense of wisdom.
"To put it bluntly, this is a matter of time."
"The addition of endless 0.0…01 does not mean that you can get a time scale that is equivalent to eternal."
"You seemingly have not specified a time limit, but you have already locked the time limit. Before 11.11 seconds, Achilles could never catch up with the tortoise, but it was not the case after that."
After He Dou finished explaining, he looked at the screen panel and waited for its reaction.
This problem can naturally be easily solved by his knowledge of calculus and limits.
But he was able to solve the problem so quickly because he stood on the giant's shoulders.
Such a famous Zeno Turtle Paradox, anyone who has studied calculus must know it.
[Newbie's job transfer task - Zeno's paradox]
【Status: Completed】
【Player level has been upgraded to level 1!】
【Backpack function is enabled】
【Copy function is enabled】
[The remaining rewards have been distributed to the backpack in the form of cards]
As the information on the comprehensive network panel was refreshed, endless light flashed in front of He Dou's eyes again.
The next moment, He Dou found himself back to the coast of the Campania region in southern Italy.
Without the magnificent scenery of Moses's split sea, only the salty sea breeze is constantly blowing, everything is so calm.
He Dou looked down at himself for a while, and saw that his body had changed from Achilles, the son of the sea god, to himself.
Opening the comprehensive network panel, He Dou looked at the button "Leave the Mission Location" above and fell into deep thought.
This is the Campania region in southern Italy.
That is, the city-state of Elia in the southern part of the Italian Peninsula thousands of years ago, was the place where the earliest idealist philosophical school (Elia School) in ancient Greece was established.
The famous philosopher Zeno was here to learn from Parmenides, and also proposed a series of philosophical paradoxes about the inseparability of movement, including the Zeno Turtle Paradox.
Looking into the distance from the sea level, you can vaguely see the great philosopher who influenced the empire of physics and mathematics for thousands of years.
The unreasonable Zeno turtle created by him settled in the physical empire in 2000 as a divine beast.
Two thousand years later, the mathematician Leibniz and the scientific master Newton practiced "calculus" across the air, and used the "limit" method in calculus to break through the continuity of time and space.
It was only then that Achilles, the son of the Sea God, caught up with the Zeno Turtle, who was cultivating both time and space, and shrank into an inch in the arena of the Physical Empire.
Thinking about it, He Dou guessed what the opportunity to summon pets given by this job transfer task would summon something.
"This unidentified profession is really interesting. Can such things be summoned..."
Smiling, He Dou pressed the button to go home.
Chapter completed!