Chapter 2365 glacius (Part 2)

For the ancients, they did not understand the existence of "0".

Ancient China had the understanding of "emptiness" and "nothing", but it did not combine them with "0". The so-called "vacuum" is not nothing, and there are many substances that cannot be observed by human eyes.

But you can feel that there is no money in your pocket, and there is no furniture in a house, which looks empty. When you put a chair in an empty house, the empty house will not be so empty.

A chair is not like a drop of water or a grain of sand. A chair plus another chair are two chairs.

If water freezes into ice, and water and sand mix to form cement, then one piece of ice plus another is two pieces of ice, and one cement block plus another cement block is two pieces of cement. There are certain rules behind this. It's like

Puzzles have clear boundaries. Two adjacent puzzle pieces must not only match the edges, but also have matching patterns. Only when the grooves of the puzzle comply with the rules of connection and the patterns match, can the two puzzle pieces be combined.

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When the puzzle is completed, people will see an intuitive picture, for example, the final piece is the Mona Lisa. If you only follow the rules of groove connection and ignore the rules of the image, the final piece may be a bunch of "

"garbled code". To only use images to find puzzle pieces without looking for the rules is like trying your luck. After completing the puzzle, there is no experience and knowledge. Why don't you start from the edge when you puzzle? What does the edge of the groove look like?

Are the puzzle pieces located in the corners?

Intelligence is like collecting and sorting out puzzle pieces according to certain rules. Some people will follow the grooves on the edges, others will follow the colors on the puzzle pieces, and then match them one by one.

1+1=2 is a qualitative leap in the process of cognition. When a primitive man first realized that adding two numbers can yield a definite number, that primitive man discovered additivity. 1 pear plus 1

Apples cannot be described as "2". The order is not important. For example, if you take 5 pieces of candy, you can take 2 pieces first and then 3 pieces, or you can take 3 pieces first and then two pieces.

In the field of mathematics, 1+1=2 does not need to be proved, but in category theory it does need to be inferred, and category is a philosophical concept, both Aristotle and Kant mentioned it. Under what conditions does 1+1 exist?

What is equal to 2? This is what a priori knowledge discusses. Numbers and the four arithmetic operations of numbers are accumulated from the accumulation of experience and sorted out to form the oldest arithmetic. Based on this, arithmetic and mathematics

.No one would describe a figure with six sides as a rectangle. Arithmetic and geometry represent pure formal intuitions of time and space respectively. They represent the edges and patterns of the puzzle respectively.

The volume obtained by turning two drops of water into one drop of water is larger than that of one drop of water, and the same is true for the addition of two piles of sand, while the length, width and height of the chair remain unchanged. This has been empirically verified and is accidental rather than universal.

There is no need to be like a black swan, human understanding must be changed in compliance with the object being understood.

But this situation is not absolute, because the changes in category science come from the bottom, and the bottom level requires each of us to return to the moment of mathematical enlightenment.

Just like Copernicus's heliocentric theory, it not only re-deduce and reshape mankind's worldview, but also changed mankind's way of thinking.

Before humans overcame gravity and reached outer space, Newton's classical mechanics was like a "white swan". In the 16th century, Galileo had used two iron balls on the Leaning Tower of Pisa to prove that there was no relationship between the speed of falling objects and their weight. Newton

The second law can also be obtained experimentally.

But universal gravitation does not originate from the earth. It is derived based on Kepler's third law. Kepler's third law is based on the observation data and star catalogs of Danish astronomer Tycho and others, and is obtained through analysis.

of.

This is what Kant said. All our knowledge starts from experience. The cognitive ability is stimulated to act. If it were not because the object stimulates our senses, our intellectual actions will operate, compare these representations, and compare them.

What do they do when they are united or separated?

Classical mechanics is applicable to the macroscopic world. People can use it to calculate ballistics and study low-speed moving machinery. However, they cannot be used to study the microscopic world and high-speed moving objects. The microscopic world has quantum mechanics, and the high-speed moving objects have special relativity.

, of course these were not known to people in the early 19th century.

Both quantum mechanics and special relativity are black swans in the physical world. In Tchaikovsky's ballet "Swan Lake", the white swan is a poor princess struggling under the hands of the devil. Her dancing posture is elegant,

Sad and delicate, the black swan is the daughter of the devil. She is proud, gorgeous, charming, and has an aura that overwhelms the entire audience.

But they both look exactly the same, like they have dual personalities.

This is a test for dancers. Generally speaking, ballet dancers who are good at delicate dance are not good at light and flexible dances. Most ballet companies will use two "swans". If they perform the same dance, they will either not be able to dance the white swan or the white swan.

Can't dance the black swan well.

No matter what kind of swan they are, they will swim on the water. When they bend their slender necks and look down at the water, what do they see? Are they looking at the swimming fish in the water, and are they planning to dive into the water to hunt at any time?

Or is it a reflection reflected on the water? Do they realize that the shadow is themselves?

Georgiana emerged from the icy water of the lake, shrouded in early morning mist.

She looked around and saw Figel waiting on the shore, so she swam in that direction.

She found that morning swimming was a good habit, but she didn't know if she would be able to find such a beautiful place with such clean water after returning to Paris.

In the middle of the swim, she changed her swimming position and lay on her back on the water, kicking the water lightly with her toes and looking at the sky.

The color makes people feel suffocated. It was obviously a good weather yesterday.

So she turned around again and swam towards the shore. After she stepped on the stones at the bottom of the lake, she stood up and walked slowly towards Figel.

Figel took a large bath towel from the saddle and was waiting to put it on Georgiana.

Their horses suddenly panicked and tried to break free from the reins tied to the tree.

The Mamluks hiding in the forest exclaimed.

"Go and see what's going on?" said Georgiana.

Figel threw the towel to Georgiana and walked into the forest.

Georgiana took the bath towel and saw the water out of the corner of her eye. At first she thought it was an insect, but later she realized that the black shadow on the water came from the sky.

The moment she raised her head, a ball of orange fire suddenly exploded, and small fireballs fell like rain.

She pulled her wand from her bracelet.

"Ventus."

A ripple suddenly appeared on the windless lake surface, but the ripples grew bigger and bigger with the wind, and finally turned into a waterspout, absorbing the fire rain.

"nebulus."

The lake, which was already shrouded in mist, became even thicker after the spell was released.

She dried her clothes with a spell, walked to the shore, and then she sent a red signal.

"I know you won't give up so easily, Maria," Georgiana said, and then looked at the towel again. She really wished it could be an invisibility cloak, but she ran into the forest with it anyway.
Chapter completed!