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The meaning of infinity is transcendence, transcendence of all that is.
Infinite in the real world, it's up to you how you look at it.
If we look at it purely from the perspective of "being" and "nothingness", then there is infinity. One life is finite, but another life is born, and when all life is so endless, it is infinite. When one world is destroyed, after reincarnation, another world will still be born, which is also infinite.
The word "infinite" may be close to "Tao", and what infinity brings us is to constantly break through existing phenomena, keep forging ahead, and finally explore what "infinity" is.
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Infinity is the opposite of finiteness, a theoretical need.
There are some models in the real world, such as Continuous
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There is infinity close to infinity. Infinite proximity and infinite division are two concepts, and infinite proximity is not equal to. It is a descriptive illustration of the trend of variable change and is an infinite process.
The limit of a(k) is 0. Given any very small number (b), one can always find one a(k) in this sequence, which proves that all terms after a(k) are smaller than b, and thus meets the definition of limit (infinite proximity).
Correspondence of nGenerally speaking, n gets bigger as it gets smaller, so n is often written as n( ) to emphasize n's dependence on change and change in . But this does not mean that n is uniquely determined: (e.g., if n> n makes |xn-a|< is true, then obviously n>n+1, n>2n, etc., also make |xn-a|< founded).
What matters is the existence of n, not the magnitude of its value.
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Yes, infinity is close to infinity, which is the concept of the limit of the sequence.
The definition is set to a series {an} and a is a definite number. If there is a positive number for any given , there is always a positive integer n, such that when n there is a |an-a|Then the sequence {an} is said to converge at a, and the definite number a is called the limit of the sequence {an}.
The limit of any series of infinite constants is the constant itself. This definition is inconsistent with the definition of the limit we just mentioned, and we supplement it. Because, when we say the limit, we are talking about an infinite approach to a certain constant, but cannot be reached, whereas the limit of the infinite constant series is possible.
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Infinity, or infinitesimal is close to infinity.
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Yes, there are many of them.
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1) Agnosticism holds that human knowledge is infinite; There are only things in the world that have not yet been known, and there are no things that cannot be known.
2) Materialism holds that matter has a process of generation, development, and perdition; Human society is a material society. Human society has its own and will perish.
The question arises, cognition belongs to the category of consciousness and consciousness, matter determines consciousness, since human beings as matter will perish, how can human cognition as consciousness be infinite? There are some things that may not be known until the end of mankind, and those things are unknowable to mankind; Or, how does humanity perceive what will come into being after the demise of humanity?
I consulted Professor Ren Xfen about this question, and his answer was that as long as human beings exist, human knowledge is infinite. That is to say, human knowledge is infinite only if human beings exist infinitely—can human beings exist infinitely? No.
Therefore, human knowledge is limited, and there are things that human beings can never know.
For these reasons, I personally believe that agnosticism is contrary to the materialist worldview.
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There is a physics term called Planck length, which means that when an object is below Planck length, it cannot be directly detected. The infinitesimal (wavelength below the smallest probe wave) in my logic means that something that exists in between non-existence cannot describe anything other than to say that the infinitesimal thing exists, like a grid encoded as 0 or 1. In mathematics, infinitesimal generally refers to a symbol, no matter how small a number you say, the infinitesimal symbol is smaller than this number.
The infinitesimal reality is that there is no sense of comparison between the existence at that level and our reality. It's like another parallel universe, they don't interact with each other, they are born and die in an instant, and this is an eternity for their infinitesimal existence in your instant. <>
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How to understand infinity?
Scientists are exploring the universe for the progress of mankind, and in the Internet era, everyone can use practice to test, if it is right, it can be adhered to, and if it is wrong, it can be corrected. Maybe Einstein's time did not find a formula to unify the four physical forces, and there is a certain reason for the level of mathematics at that time, maybe the whole mathematics and the whole mathematical formula, z=syw is a miracle that happened in China in the Internet era, the overall mathematical formula is different from any mathematical formula in the past is that the overall mathematical formula is also the law of global cosmology, the universe may come from the vacuum quantum fluctuations, the so-called observable universe outside is the vacuum, the vacuum and the observable universe are one, can inspire people's understanding of the universe lifeFor example, according to the laws of integral cosmology, it is discovered that the fifth force is the dynamic equilibrium force of the universe as a whole!
For example, according to scientific experiments about vacuum, vacuum is not nothing, but will randomly produce positive and negative virtual particles, when the positive and negative virtual particles collide and then converted into the energy of the vacuum, the vacuum is unstable, the vacuum quantum ups and downs, is the energy, mass, space-time **!
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Mathematics has an infinite loop.
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What is the relationship between concepts such as the known and the unknown, the finite and the infinite, the relative and the absolute? The known must not include the unknown, the finite must not include the infinite, and the relative must never include the absolute. This is a strict definition of the concept of language.
So that the logic of scientific thinking will not be confused. So all scientific models are carried out under the premise of assumptions. This assumption is a philosophical inverse affirmation of the infinite, the unknown, and the infinite.
The assumption is that it is not possible to build deterministic knowledge on the basis of uncertainty. But this does not negate the objective existence of the infinite, the unknown, the absolute, and the infinite.
Just like the hypothesis of the universe, no one will force you to believe it with a gun, everyone will say that it is a hypothesis, and there is also a human evolutionary theory, and no one will force you to believe it without a doubt, that is also a hypothesis.
Scientists have the right to this hypothesis, but I still don't think it's true, because scientists know it's not true. But it is important to convince the educated that the hypothesis is true.
There are a lot of things in this world that don't need to be proven. But science will lead you down a path of proof.
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The universe is the space that holds all matter.
And the object that exists as life is also matter, but it is a matter in a special state. The state of matter must evolve.
According to natural selection (in fact, the basis of natural selection is the intersection of death and birth), if the life of a species is eternal, there is no death in the world, so that the earth will not be able to support the increasing number of species, then there is only one result, that is, death.
If this concept is not born, even if a species does not die of aging, it will also die out due to environmental factors, and because it cannot reproduce new species, then the species will become extinct. The result is still death. Moreover, since there is no such thing as 'birth', the word evolution cannot appear in nature, which is not good for nature.
Then it is very likely that humans will not be able to appear.
So in general, nature is great, and it is able to conceive of all the unfavorable factors and avoid it. so that its people can survive in the best possible conditions.
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To say that the universe is infinite because human beings still know relatively little about the universe, and that there is still a vast space that is unknown, to say that it is finite, because the universe is still composed of matter, and everything is limited.
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Current theories suggest that the universe is infinite, but because the universe expands faster than the speed of light, the universe we can see is finite.
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Is the universe finite or infinite? Hawking argues that the universe is finite.
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A brief examination of the concept of "universe".
universe - This word, translated roughly as the Chinese word "universe", but whether it corresponds or not, we have already translated it with the Chinese character [universe]. Universe is a Western astronomical term, which has the meaning of all things, systems, fields, systems, and scopes, and in the field of astronomy, it refers to relatively independent planetary systems and larger planetary systems.
The Chinese word [universe] is a compound word with two meanings, yu - refers to space, and within the liuhe (front and back, left and right, up and down) are all [yu]; Universe - refers to time, and has been called "Celestial" throughout the ages (past, present, and future). Therefore, the Chinese word "universe" does not refer to "all things" but to all the states of time and space.
From the above analysis, it can be seen that the meaning of the word "universe" in Western is very different from the meaning of "universe" in Chinese, so it is necessary to figure out which universe you are talking about. If you are that "universe" in the West, it must be limited, but if you speak the "universe" in Chinese language, it is infinite, and this is well documented.
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There is a cosmology that holds that the universe can be described in terms of non-Euclidean geometry knowledge such as hyperbolic space. This view holds that the universe is finite but unbounded, i.e. when you get closer to the edge of the universe, everything becomes smaller (including the observer, of course), and the closer you get, the smaller it becomes, so that you can never reach the edge of the universe.
If you can understand this non-Euclidean geometry better, it would be better if you look for some of Escher's engravings, such as "The Limit of the Circle" or "Reflecting Ball", and then read the explanation of the painting.
There are boundaries and ends, but the universe is still expanding, the speed is very fast, so there is no boundary, about 15 billion years to fall, you fly to the boundary of the universe, you may fly to the end, but you have to pay attention to the black hole.
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1.Positive infinity is the positive direction of the number axis Answer: Simple, it can be understood in this way.
But infinity, as you will say below, is a changing trend. 2.Negative infinity is the negative direction of the number axis Answer:
Be. Refer to the above solution. 3.
The opposite of positive infinity is negative infinity Answer: Yes. 4.
The absolute value of negative infinity is in the positive direction Answer: Yes. 5.
Positive infinity and negative infinity are both trends of a number Answer: It is a trend of change, but it is not a trend of a number. Infinity is ultimately a variable concept on a function.
6.The reciprocal of infinity is infinitesimal Answer: Yes.
The reciprocal of infinity is 0. 0 is a special infinitesimal. This must be known.
7.The reciprocal of infinitesimal is infinitesimal Answer: Yes.
That is: 0 has no reciprocal. But other infinitesimal can.
8.Infinity and infinitesimal are both trends of a function Answer: This is a more correct understanding.
Infinitesimus, infinitesimus, it only makes sense to give the process of change. Is 1 x infinitesimal or infinitesimal? When, x---0, is infinity.
When x --- infinity, 1 x is infinitesimal. Question addendum: 9
Positive infinity is resolutely not infinity. Patently wrong. Infinity includes:
Positive infinity, negative infinity. Therefore, when the positive and negative trends of some functions are different, they should be discussed separately. For example:
e^x。When x --- is infinite, e x is infinity. When x --- negative infinity, e x is 0 (i.e., infinitesimal).
At this time, it cannot be said what kind of quantity x is when x-> infinity. Because under the 2 trends of the independent variable, e x tends to have different results. 10.
Negative infinity is resolutely not infinitesimal Negative infinity is also infinite. *The size here is the size of the absolute value. Not a size in the algebraic sense.
Note that the above discussion is only for understanding. infinity, with a strict "-n" definition of infinitesimal as infinitesimal.
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