# What are the two varieties of infinity and how do they differ?

• Michael F. Dmitriyev
In summary, there are two main varieties of infinity: illusory infinity and real infinity. Illusory infinity is the result of endless multiplying of zero, but the zero remains unchanged. It is often used as a model for scientific purposes, but relies on illusion rather than reality. Real infinity, on the other hand, is the result of endless dividing of any real number. It is the true infinity that exists in the universe and is directed towards absolute zero. While there may be an infinite number of infinities within the universe, each object can only have one inherent infinity. Additionally, there are different types of infinity, such as aleph-1 which includes all real numbers. However, it is important to note that comparing infinities
Michael F. Dmitriyev
Exists two varieties of infinity.
1) Illusory infinity.
This infinity of the expansion. This process of the endless multiplying of the zero. If a zero is absolute that this process will not change nothing. The Zero will remain the Zero. For this reason interesting idea was invented. Absolute zero, in unknown effect, has ceased to be such in the some moment. Hereinafter this process had been applied to 3D space. But then it is necessary to acknowledge that it was received 3D number (? !) from absolute zero, for begining. Though such number is not possible to present, imagination of people has allowed to present product of one - continuously expanding 3D Space. For the scientific motivation of such model, it was happened to think up the ensemble of the props, which does not works. More exactly such a model leans onto illusion taken as reality.

2) Real infinity.
It present the result of the process of endless dividing of any real number. This is infinity of reduction of the source value.
Any a difference from absolute zero is endless. For this reason initial number can be as please small. The single necessities this existence of the absolute zero and such zero exists.
This infinity is real.

When considering these two varieties of infinity, for the reason buildings of such object as the universe, advantages of the second one is obvious with all standpoint. Though a compare the illusion with reality there is no point.
So. Infinity is directed on inward, to absolute zero, but not on outward, to absurd.

God does not allow the mistake unlike people.

Only two?

Originally posted by Ben-CS
Only two?
Only one, indeed.

There are many degrees of infinity.

Im sure you know about countable and uncountable infinities for a start.

Originally posted by plus
There are many degrees of infinity.

Im sure you know about countable and uncountable infinities for a start.
Only one infinity is realized in the universe. This infinity is directed to absolute zero. This is my point. Except this one , I have considered the infinity accepted as reality on today. You may offer the other infinity which approaches on this role more than offered by me, on your opinion, and we can discuss this. But, agree, it is no reason to reduce this important question to discussion of the whole set of infinity.

Cantor actually showed that there is an infinite hierarchy of infinities. At least there is a countable infinity of different infinities.

Originally posted by ahrkron
Cantor actually showed that there is an infinite hierarchy of infinities. At least there is a countable infinity of different infinities.
You are right, ahrkron. However, on the some sign, we can select an infinity which closer corresponds to the designs of universe . On this sign an infinity of expansion is very distant off optimum for universe realization . On my glance it is straight opposite on reality.

Which infinity do you think corresponds to the 'infinity which closer corresponds to the designs of universe', and why is this so?

Simply by considering the borel sets and the sets of borel sets and the sets of sets of borel sets should show you that thestack of infinities are realized within the universe.

Originally posted by plus
Which infinity do you think corresponds to the 'infinity which closer corresponds to the designs of universe', and why is this so?

Simply by considering the borel sets and the sets of borel sets and the sets of sets of borel sets should show you that thestack of infinities are realized within the universe.

The Universe it is one object as integer. In ditto time it contains the endless ensemble of other objects and their combinations which are an objects also, i.e. it is a complex system. Within such a system can be realized the endless number of infinity. But one object can have only one inherent infinity defining its existence. The Universe too.
The one which has been directed on a proper goal or absoluteness, is rational, economical, is capable to develop and it is beautiful, at least. We can observe and explain it.
Unlike the other one which is
- profligate extraordinarily;
- overblown on enormous size;
- continues the senselessly expansion;
- prone at self-destruction;
Such universe is not capable to develop. Entropy is a straight opposition to evolution.
I prefer the first of two.

BTW, entropy can be only local and it is a necessary part of evolution.
We can observe it graphically in the surrounding world.

there are different types of infinity. Some are greater than others.
For example

lim (x->0)1/x = infinity1

lim (x->0)1/5x = infinity2

the second equation goes to infinity faster than the first, so subtracting them will not equal zero. The infinity that includes all the real numbers is aleph-1, (might be wrong I haven't had number theory in a while).
But I do remember that there are definitely different types of infinity.

there are different types of infinity. Some are greater than others.
For example

lim (x->0)1/x = infinity1

lim (x->0)1/5x = infinity2

the second equation goes to infinity faster than the first, so subtracting them will not equal zero. The infinity that includes all the real numbers is aleph-1, (might be wrong I haven't had number theory in a while).
But I do remember that there are definitely different types of infinity.
If you may compare two values by subtractions, for instance, then these values are not infinity.

## What is "Two varieties of infinity"?

"Two varieties of infinity" refers to the concept that there are different types or levels of infinity. This idea was first introduced by the mathematician Georg Cantor in the late 19th century.

## What are the two types of infinity?

The two types of infinity are countable and uncountable. Countable infinity refers to an infinite set that can be put into a one-to-one correspondence with the natural numbers (1,2,3,...). Uncountable infinity, on the other hand, refers to an infinite set that cannot be counted or put into a one-to-one correspondence with the natural numbers.

## Can you give an example of countable and uncountable infinity?

An example of countable infinity would be the set of all even numbers, which can be put into a one-to-one correspondence with the natural numbers (2, 4, 6, ...). An example of uncountable infinity would be the set of all real numbers between 0 and 1, as there is no way to count or list all of these numbers.

## Why is the concept of "Two varieties of infinity" important?

The concept of "Two varieties of infinity" is important because it challenges our understanding of infinity and has significant implications in mathematics and philosophy. It also allows us to better understand and work with different types of infinities in various mathematical theories and applications.

## How is the concept of "Two varieties of infinity" relevant in other fields?

The concept of "Two varieties of infinity" has relevance in various fields such as computer science, physics, and philosophy. It has applications in computer algorithms, quantum mechanics, and theories of the universe, as well as implications for the nature of reality and the limits of human knowledge.

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