Since you are a prodigy with such a high IQ I was wondering how come you didn’t memorize the pages of the textbook verbatim for your generals? I mean you could then recall the theorems and proofs without necessarily understanding them but sufficient for the purposes of the exam. ]]>

Relevant Reference Link:

https://anthonybonato.com/2017/08/23/so-you-want-to-be-a-mathematician/

]]>A new solution to the Hilbert hotel paradox(the real nature of 0)

0 is a combination of real and virtual numbers. When the observer looks at it from different angles, it will show different properties.

When 0 tends to infinitesimal , it is infinitely close to real, we denote it 0↓;

When 0 tends to infinity, its infinity is close to imaginary, we denote it 0↑；

Then when a guest wants to stay in a hotel with unlimited guests, whether he can live in it depends on whether the hotel is real or virtual;

It is expressed as follows by mathematical formula:

1+0↓=1 Then the guest can’t enter the hotel because every house has a corresponding guest (you can understand that 0 tends to infinitesimal,if someone can only count to 9, the number 10 for him is an infinite number,then in his understanding the hotel can only accommodate a maximum of 9 people, so new guests can not stay at the hotel);

1+0↑=0↑ Then the guest can stay in the hotel, because there are infinite rooms, there must be room for the limited guests (ie, if someone can count 10 in the previous example, then customers can be arranged)

The virtual and real properties of 0 can also be reflected in other operations, as follows:

1×0↓ =0↓ 1×0↑=0↑ So 1×0=0

1÷0↓=0↑ 1÷0↑=0↓ So 1÷0=0

(If the understanding of the real and virtual Numbers is difficult, then if you compare people to 0, you will understand a little better; people’s thinking is virtual, the human body is real; that is, when you see a person lying flat, his next action is 0, I call it behavior association,and we’ll talk about that if you’re interested.) ]]>

“Science is an adventure of the human spirit. It is essentially an artistic enterprise, stimulated largely by curiosity, served largely by disciplined imagination, and based largely on faith in the reasonableness, order, and beauty of the universe.” — Warren Weaver.

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