Analysis of Peking University Tieba's controversial arguments against Wei Dongyi's Hilbert Hotel

Peking University Tieba published "Wei Dongyi learned the wrong mathematics, teaching students is wrong mathematics"

On the Hilbert question, someone in China actually said a very philosophical saying very early on, if you take or add a part of the infinite, the rest is still infinite.

The mathematical expression of this sentence is ∞ + M = ∞ or ∞× M = ∞.

There have always been two arguments, and the key to the argument is whether this process of exchange in hotels can be terminated.

　　There can only be two answers to this question: either the process of this exchange can be terminated, or the process of this exchange cannot be terminated.

　　Let's take a look at what the two answers will produce:

　　(1): If the process of this exchange can be terminated, it will inevitably terminate in the last room of the infinity hotel, but according to the concept of infinity, because the rooms in the hotel are infinite, there will be no last room, so the process of this exchange cannot be terminated.

　　(2): If the process of this exchange cannot be terminated, then: not all guests have rooms to stay in, but: there is always a guest who has no room to stay in, that is, when the guest of room 1 moves to room 2, the guest of room 2 has no room to stay, when the guest of room 2 moves to room 3, the guest of room 3 has no room to stay, when the guest of room 3 moves to room 4, the guest of room 4 has no room to live in...

　　 Please note that "there is always one guest who does not have a room to stay in" and "all guests have rooms to stay in" are not the same concept. Therefore, the great mathematician Hilbert's "Infinity Hotel" is essentially a mathematical sophistry.

And this article about Peking University Tieba is the scholar's literati light? Or are there different points of view? Or is it a snake walking? Welcome to leave a message to discuss!

Mathematics as a science that describes the relationship between numbers, mathematics is to some extent the principle of all things. It is an assistant to human progress and a ladder for us to move forward.

It is extremely important to have a mind that keeps thinking at all times