Tiek stood in place, pondering for a full three hours, his mind spinning at super speed, contemplating the resolution of these two paradoxes. Yet, he found no leads, finally turning to Leibniz with a helpless expression.
"Please forgive , Master Leibniz. This question is too profound; I fear I can't provide you with any answer in the short term."
Alva, Ellison, and the others felt so reluctance but had to admit the sa.
These two paradoxes truly befuddled the entire realm of magical mathematics. Based on the most common motion of objects, they were simple and straightforward yet profoundly thought-provoking.
Leibniz didn't respond verbally but secretly communicated with the intellect.
His prior speculation was incredibly accurate. Under the rapid thinking and the brain's rapid rotation, the intellect's decryption of spiritual power frequencies was almost ten tis its usual speed! The assembled formal wizards felt uneasy at Leibniz's silent response, mostly resigned to the situation.
Even these mathematical masters couldn't provide precise answers to such paradoxes. Hoping they could solve it might have been asking too much.
Leibniz, of course, didn't expect them to crack it. Once confirming his speculation, he imdiately put on a more amiable expression. "In fact, regarding the resolution of these two paradoxes, I've gained so insight."
Tiek and the others imdiately breathed a sigh of relief, then looked to Leibniz, intensely curious about his thods to resolve these paradoxes.
"The key to these two questions lies in whether values can be infinitely subdivided, whether two values infinitely close are equal, and how we should calculate them. This problem has confounded every discipline in the past. Thus, I believe magical mathematics needs a revolution to redefine this world!" Leibniz solemnly proclaid. "I'll na itCalculus!"
Tiek felt a surge of spirit. They hadn't expected that, for the sake of a gamble's outco, this master of magical mathematics would prepare to establish a new branch within their field. And they never anticipated they would have the chance to be a part of it, becoming one of the founders of this field.
---
At night, after spending a full ten hours in the magical realm, Tiek finally erged from the ocean of thoughts, rubbing his throbbing forehead, with only one thought left in his mind.
"Difficult... It's so darn difficult!"
Compared to calculus, Tiek felt that all the magical math he had encountered before was child's play. His mind was dizzy from concepts like tangents, functions, and limits, to the extent that upon seeing so approximate curves, one thought surfaced in his mind:
"Can this thing even be integrated?"
What surprised Tiek even more was that his magical power had actually grown and improved to a certain extent. Ever since Iyeta Harbor, he had heard that many apprentices could enhance their magical and spiritual growth by studying magical mathematics, even better than the effects of ditation.
However, for a formal wizard like him, the effect was minimal. Initially, Tiek had so regrets, only now realizing it wasn't that this thod wasn't useful for them, but those magical math problems they'd encountered before were just too easy for them to exercise their computational abilities.
Not only Tiek but also Alva and others were pleasantly surprised. Most of these third-circle wizards were not young anymore; for most, the growth of their magical powers had long stagnated, with slim chances of further advancent.
Now, research and exploration into the field of calculus had brought new hope to Alva and the rest!
Despite losing a few hundred hairs in just half a day, faced with the dual temptation of increased magical power and becoming a foundational mber of a new school of thought, nobody would retreat due to these slight difficulties.
While Tiek and others were imrsed in their studies and research of calculus, oblivious to the outside world, the situation within the Magic Council was different.
In recent days, the Apocalypse Sect had beco increasingly active. So city guards assigned to monitor and track certain sect followers had inexplicably disappeared, causing a mixture of anger and fear among the council mbers.
"We can't tolerate this any longer. I suggest taking action imdiately and clearing out the entire Apocalypse Sect!" Raphael slamd the table, angrily shouting.
"Are you planning to start a war within Greynor City, Raphael?" Another council mber stood up, vehently retorting.
This involved hundreds of wizards; these weren't unard civilians. Once a full-scale war broke out, the losses would be hard to predict.
Moreover, they still didn't know which wizards were being manipulated and who the instigators behind this turmoil were.
Several sect mbers captured previously had only spouted about the "end tis" and "elental spirits." They couldn't extract any useful information, leaving them unable to confirm the link between the recent attacks on council mbers and this peculiar sect.
"Otherwise, are we just going to sit here and watch things get out of control?" Raphael roared.
"Regardless, we must investigate thoroughly first. We can't recklessly attack so many wizards without cause!" The council mber insisted. The resources required to train a formal wizard were unpredictable; Greynor couldn't afford the cost of clearing out hundreds of wizards in one fell swoopit would be self-destructive!
The Sky Boundary quickly turned into chaos inside, with many council mbers arguing, worrying, or getting angry. Several grand wizards looked pityingly at Ougust, the acting Speaker.
Before, when Harof made this magical luminary responsible for council affairs, they were sowhat envious and even resentful. But now, it was just relief because this was a complete ss, and who wanted to take over and bear the consequences...
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