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∞=0

  • 執筆者の写真: K.Matsui
    K.Matsui
  • 2023年3月9日
  • 読了時間: 3分

【"∞" as a set】


"∞ = 0"... I'm not kidding.

Of course, this expression is not allowed in the current framework of mathematics.


In mathematics, there seems to be a kind of ∞.

"+∞", "-∞", "∞ with odd numbers", "∞ with even numbers"...

Then, a set of "∞" of some kind is larger or smaller than a set of "∞" of another kind.

However, when there is no particular explanation in this blog, "∞" means "including all elements".

If "∞" is "limitless", it must contain "everything".

Yes, "everything".

A ``∞'' that is subject to some restrictions should be distinguished from an ``∞ that includes all elements without limitation''.

At least, that's how I define it for this blog.


In this case, the set of "∞" has "all" elements, so there will always be an element with the opposite sign of ± to one element.

In other words, if we define ∞ as "the set of all elements", it must be "the set of things that cancel each other out".

If so, the sum of the elements of this set should always be "0".


At this time, from your point of view, you will see an endlessly expanding world.

However, if you can see this set from the outside, or from a particular dimensional point of view, you should be able to see the "nothing" state.

In other words, "∞ = 0"


zen garden


【Requirement of "existence"】


In order for something to "exist", it must have an opposing "existence" that counteracts it.

It's not an oriental 'yin-yang thought', but 'shadow' can be recognized only when there is 'sunlight'.

The concept of "front" does not exist separately from the concept of "back."

"+" and "-", "matter" and "anti-matter", "existence" and "nothing" can be considered in the same way.


And the state where "existence" and the existence on the opposite side are superimposed will be seen as "nothing" from the outside.

Alternatively, it can be said that the state of "nothing" seen from the outside is always a superimposed state of "existence" and "existence" that cancels it.


In other words, "presence" looks different depending on whether you are inside or outside of it.


【nature is simple】


you may feel uneasy

The reason is that the content is too simple to talk about the original purpose of this blog, "What is this world?" and "What is me?"

Many other similar blogs describe difficult physics equations and mathematical axioms and try to explain them with scientific accuracy.


If you are a mathematics or physics master, there are many things you want to point out about this blog.

However, this blog is not intended to comment on existing theories, but rather to point out flaws in existing theories.

If you have a primary interest in mathematics or physics, it is important to "learn" it.

However, the more important thing is to feel doubts and “think” about it.

The content of this blog should be enough to get you started.


The roots of mathematics, physics, and philosophy should be the same in that they are all "academics that pursue the truth."

They have made remarkable progress from ancient times to the present day, but they are still incomplete.

And there is a tendency to stay in a small world due to various circumstances that are common in human society, such as "factions".

In most cases, it is the people who do not know the world or the minorities who dare to rebel against the world that break through this fixed state.


says a physicist.

“Nature should be made up of rules so simple that you could write them on your shirt.”

The history of science also proves that direction.

The "New Philosophy" advocated by this blog stands on that direction and is trying to play a role as a catalyst by becoming a crown that connects each academic field.

 
 
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