Enter the Immortal Cultivation

"Surface geometry denies the last postulate of Euclid, the god of geometry, so it is also called 'non-Euclidean'. But does 'non-Euclidean geometry' really deny Euclidean geometry?"

The question that Wang Qi asked slowly seemed to be asked carelessly, but it was actually an extremely important conceptual question.

Is new science based on the denial of old theories?

The answer to this question is indeed a bit vague. There are many scientists who gradually withdrew from the forefront of the research community because they could not adapt to the new theory.

However, this question is often denied.

Does non-Euclidean geometry really deny Euclidean geometry? No, non-Euclidean geometry changes the fifth postulate, and its foundation is still the first four postulates of Euclidean geometry. It is an important extension of Euclidean geometry.

Does the relativistic system deny the Newtonian classical mechanics system? It is also not. Einstein just followed Newton's ideas and combined with later theoretical achievements to discuss the situation of the Newtonian system at high speed. The Newtonian system can be said to be an approximation of the relativistic system at low speed, and the relativistic system can also be said to be an extension of the Newtonian system at high speed.

Similarly, Planck's quantum theory is also the extension of Maxwell's system under microscopic conditions.

Yes, the key lies in the concept of "extension".

As Russell said, "The laws mastered by humans are only the statistical averages of random events". Theory is just something we summarize from the observed range. When technical means advance and the observable scope expands, the theory we have mastered is no longer applicable.

At this time, we need to "extension", revise the existing theory, and extend it to new fields!

Bo Xiaoya's breath was choked.

Wang Qi's words... "Ignore the law of the excluded middle"... This is... the key to open that door!

Not just Bo Xiaoya. Su Junyu, Bo Xiaofeng and even Chen Jingyun...all the strong men belonging to the Wanfa Gate seemed to see a door slowly opening in front of them!

No longer a binary, two-value judgment of "yes" or "no"?

Three-value? Possible?

No! Not enough!

There are also some relative concepts...

Wang Qi continued: "This 'value' should not be three values, I think it should be more - to be precise, it can be infinite."

Bo Xiaoya was confused: "Infinite?"

Wang Qi casually drew a line on the ground: "How many points are there on this line?"

"Infinite...ah!" Bo Xiaoya's tone suddenly revealed a little surprise: "Probability?"

If the two ends of this line segment are zero and one respectively, then the points in the middle of the line segment are not decimals greater than zero and less than one? Isn't this probability?

Because there is a longevity method in this world, the old-fashioned modern monks represented by Bai Ze Shenjun who believe in determinism have a very high reputation. Probability theory is not valued in Shenzhou, and basically no one studies it. Moreover, probability theory does not seem to be of much use to practice. Except for the Bo family who are born good at calculations, there are really few calculators who specifically study it.

However, this "fuzzy theory" that can only see a vague outline has performed well in the research of Yangshen Pavilion, calculator research, and other fields! If this promising theory can be related to probability theory...

At this time, Wang Qi continued: "We just defined the concept of multi-valued logic, or the generalized three-valued logic, right? Now let's define this special set - that is, the set with unclear scope that I told you at the beginning."

Wang Qi knocked the ground with his sword: "Now, ask a question. Girl, do you understand the theory of spiritual resonance? If not, what do you think 'spiritual resonance' is?"

The so-called "spiritual resonance" in Shenzhou is not exactly the same as the so-called "spiritual resonance" on Earth. Although the "spiritual resonance" in Shenzhou can also be used as "hearts have spiritual resonance" in some contexts, it is more often used to refer to "information".

The theory of spiritual resonance is information theory.

Bo Xiaoya thought for a moment: "Lingxi is the physical quantity that eliminates uncertainty?"

Wang Qi nodded: "Yes, yes. Lingxi is the physical quantity that eliminates uncertainty. The reason why we feel that something is uncertain is because we don't get enough Lingxi. The key point of fuzzy calculation lies in the Lingxi quantity that defines the range of the set - because the Lingxi that limits the range of the set is clear and the Lingxi quantity is small, the scope of the set is not fixed!"

"Now, we have defined and redefined logic and sets, so we can start our deduction."

As Wang Qi talked, Bo Xiaoya suddenly felt that a wider world was in front of her!

Fuzzy! Uncertain! Probability!

In her eyes, the simple figure on the ground representing "set" began to blur and unclear.

Then, the whole world began to deform and change color!

So the world is like this!

So the road is like this!

Break through a layer of cognition, break through a layer of knowledge and insight! Bo Xiaoya's thoughts are clear and clear, and his soul is lively. Then, the magic power in his body is inspired by this and operates on its own in the next life.

Or, in other words, self-optimization!

The inexplicable fluctuation of mana spread throughout the venue. In everyone's perception, Bo Xiaoya's own peaceful mana gradually became confused, vague, and unpredictable!

Everyone was shocked.

This is... this is a performance of reaching a higher level! This is enlightenment!

Bo Xiaofeng's face was happy: "This girl... is a breakthrough!"

Su Junyu was a little hesitant: "This algorithm... is obviously not fully proven, so is it appropriate to rashly use it in the practice of the law?"

Bo Xiaofeng's expression changed, and he also thought of this question: "Old Su, let me ask you, how is your little brother's talent?"

"Probably the tallest I've ever seen."

Bo Xiaofeng swallowed: "My sister accepted his arithmetic...his arithmetic is closely related to my sister's achievements. No, I have to find a way to get him into Wanfamen. He will be delayed outside for five years. Such a waste!"

Not to mention Bo Xiaofeng's plan, Wang Qi felt a little depressed.

"Brother Tiandao... you don't do this! I just want to talk and talk until my physical strength recovers. Why do you arrange for this girl to break through before the battle? Isn't this the treatment of a protagonist!" Wang Qi looked like he couldn't laugh or cry.

The talent of this Bo family is truly incredible. Multi-valued logic and fuzzy sets are only the prerequisite, or foundation, of fuzzy mathematics, and there are still several steps to go before becoming a systematic fuzzy mathematics. Cornerstones such as membership functions have taken Chinese mathematicians several years to conquer, not to mention the tome of fuzzy topology. As for the basic probability theory and mathematical logic, China needs time to study.

With only a little foundation, how could Bo Xiaoya integrate this into her practice? This is appalling!

but……

Wang Qi glanced at Bo Xiaoya cautiously. This girl is now in a completely defenseless state. It seems that I can use this activation to observe her body, figure out the Bo family's magical powers, and observe how the fuzzy theory is integrated into the practice step by step!

Especially the last one. You know, Wang Qi has long suffered from being unable to bring theory into practice. He didn't want to miss this opportunity.

Wang Qi thought this, and gathered his spiritual consciousness to probe into Bo Xiaoya's body.

After sensing all this, Bo Xiaofeng's expression changed drastically: "What the hell are you doing, you bastard?"

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Tomorrow, the second volume will end