Every Number is Infinite
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What does "Every Number is Infinite, There Is No Difference" mean?
1.
In order to define this claim, we must first set forth certain truths. I refer you to the basic geometric principals of points. If we have a graph with one point on it, we cannot determine anything about this point. We cannot define length, height, or depth. Even if we add a second point, creating a line, we cannot define any of these traits either (using a ruler to measure the line does not count. Doing so would require you to assume that the perspective is correct, which might be true, but could also be like standing two miles from the Washington Monument and "determining" that it is three inches tall by holding up a ruler).
It is not until we add the third point that we have a plane, and now gain the perspective that line A is longer than line B, line B is shorter than line C, etc.
In summary, we cannot define any single point without (at least) two other points by which we can compare it.
2.
For the term "Every Number is Infinite", we would substitute 'points' for 'numbers'. After all, the number 1 on its own tells us nothing. It's not until we know that 1 is more than nothing but less than multiple things that we are able to define it. This is where we get the number's Identity.
The term "Every Number is Infinite" refers to the number of Identities available to any given number.
Let's add a 0 to the 1, giving us 10 (footnote: the number 10 is found somewhere between 9 and 11).
The number 10 contains three points (the 1 and the 0, which are independent numbers on their own, and the actual 10, whose Identity is independent of either of these. For the sake of simplicity, we'll write it as "010"). If any of these three numbers was to change its position, its Identity would change. For example, if we were to write it "001", then it would no longer be ten. Similarly, if we wrote it "100", it would still no longer be ten, but it would not be one, either. In other words, the specific Identities of the various elements creates a specific overall Identity.
Adding another 0: we have 100. At face value, there seems to be no difference between the zeroes (they are both round, they both follow the one). Their Identities are subtly different, however; there is the First Zero and the Second Zero. While interchangeable, the First and Second Zero are necessary to synthesize the overall Identity, i.e. one hundred (if you switch the First and Second Zero, you would still have one hundred, but with the Second Zero in place of the First Zero, and vice-versa. This would be stupidly overcomplicated).
Moving up to 1000: Even though we still have a First and Second Zero, their respective Identities within one thousand are different from those in one hundred, because of the overall Identity. Without the First Zero in one hundred, the overall Identity changes to ten; without the First Zero in one thousand, the overall Identity changes to one hundred. In other words, the particular positioning of the digits does not change, but their contribution to the overall synthesis does.
3.
We could do this ad infinium, because there are an infinite number of numbers. Every time a new number is added to an existing number, a new overall Identity is created. Thus, every number does not simply have an infinite number of Identities, every number must. Otherwise, how could the number '7' create the number 27 as well as 107, 7096, 534789513401853410, and countless others? How could infinite exist?
4.
"There is No Difference". While this statement seems to contradict the above, the above actually creates this statement. After all, if you have a truly infinite number of possibilities, then one such possibility must suggest that the entire system is flawed. This particular possibility contradicts the rule that each number is different by bringing to light that if every number, from 0 to infinite, has an infinite number of Identities, then they are all identical because they have an infinite number of Identities.
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I always thought that it was because of unreal numbers, or so called imaginary numbers.
How many possibilities can fit in-between one and two? An intimate, unreal amount.
There are an infinite number of numbers......
But there are even more imaginary numbers.I also tend to think that this statement is in reference to zero, before any actual numerals appear. How many times can I divide zero, that sort of idea.....
0=2 -
A quick blurb...
In one facet of number theory, the number one is defined as the Reimanns sum of 9/10 from 0 to infinity.
Or, that 1 is defined as .99999999999999999999999999999999999999999999999999999999999 ad infinitum.
With 2 defined as 1.999999999999999999999999999999999999999999999999999999999999 ad infinitum.With each number being representative of a limit, since the "space" between any two numbers is infinite.
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@Veronica said
"I always thought that it was because of unreal numbers, or so called imaginary numbers.
How many possibilities can fit in-between one and two? An intimate, unreal amount.
There are an infinite number of numbers......
But there are even more imaginary numbers.I also tend to think that this statement is in reference to zero, before any actual numerals appear. How many times can I divide zero, that sort of idea.....
0=2"@Uni_Verse said
"A quick blurb...
In one facet of number theory, the number one is defined as the Reimanns sum of 9/10 from 0 to infinity.
Or, that 1 is defined as .99999999999999999999999999999999999999999999999999999999999 ad infinitum.
With 2 defined as 1.999999999999999999999999999999999999999999999999999999999999 ad infinitum.With each number being representative of a limit, since the "space" between any two numbers is infinite."
I'd been thinking about the space between numbers after I read Veronica's post--namely the part where she mentioned how many numbers can fit between one and two--and actually realized what UV said above.
Which means infinite can occur at the beginning and ending of a spectrum...
**Infinite<-----Total Conceivable Negative Numbers----(Zero)-----Total Conceivable Positive Numbers------>Infinite
**
...But it can also occur entirely within the confines of two predetermined boundaries.One----------->(Infinite)<---------------Two
Which is entirely contradictory...because infinite is both boundary-less and confined at the same time.
So really...numbers are just dots floating around in infinite space. Every number and letter is a star!
If that is the case, maybe what we understand as '0' and what we understand as '1' are two very wrong definitions...maybe there is no '2', just the perpetual struggle to get from 0 to 1...okay, I have to think on this before I try talking about it, or this thread will get dumped in the 'nonsense' forum.
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93s All:
The concept of infinite regression is also inversely reflected in Zeno's paradox, which posits that one always can go 1/2 way between two points--so in theory one never leaves the starting point or arrives at the destination. This means in a very real way that the gulf between self and other is forever uncrossable.
But this explanation is a kind of digitization of experience. We all know that we can get there, somehow.
I think we are invited by the concept of all numbers being infinite to approach the super-natural, the numinous reality in which something magickally and necessarily infuses the zero space (Nuit) between all points (Hadit). For lack of a better term, let's call this something love or will, take your pick--an impossible something that binds two as one and allows the leap across an otherwise logically impossible divide.
Numbers, however, remain symbols (more real than some of what we call reality, but numbers still). The universe is analogue, numinous, real. As I see it, Crowley's λόγος here needs some ποίημα to turn the key. And I think with a bit of imagination, his formula gives access to the ardent kiss of 0=1.
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93,
@David Stanton said
"I think we are invited by the concept of all numbers being infinite to approach the super-natural, the numinous reality in which something magically and necessarily infuses the zero space (Nuit) between all points (Hadit). For lack of a better term, let's call this something love or will, take your pick--an impossible something that binds two as one and allows the leap across an otherwise logically impossible divide. "
THE LOOBY
Only loobies find excellence in these words. It is thinkable that A is not-A; to reverse this is but to revert to the normal. Yet by forcing the brain to accept propositions of which one set is absurdity, the other truism, a new function of brain is established. Vague and mysterious and all indefinite are the contents of this new consciousness; yet they are somehow vital. by use they become luminous. Unreason becomes Experience. This lifts the leaden-footed soul to the Experience of THAT of which Reason is the blasphemy. But without the Experience these words are the Lies of a Looby. Yet a Looby to thee, and a Booby to me, a Balassius Ruby to GOD, may be!
Liber 333 -- Chapter 39 (13x3)
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I think that this line is actually revealing an aspect of reality we have all yet to fully realize. In quantum mechanics it is pretty obvious there are indeed multiple univereses, there being actually an infinite amount. This would mean that there are an infinite number of any one of us, which I believe the verse is alluding to.
"Every number is infinite; there is no difference." Would then reflect the infinite nature if each one of us, every possible state of our nature then is reflected in some particular alternate universe, in essence a possibility wave. There is no difference in number, we (they) are all equally infinite. Individual power is beside the point when understood that each is equal in respect to them all having an infinite nature.
Also notice the verse before it speaking of every man and woman being a star, which again suggests to me at least a connection with "numbers" to people, and the infinite nature of space where these stars live.
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@Trevor said
"93
What does "Every Number is Infinite, There Is No Difference" mean?
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1.) Infinity is the objective reality.
2.) The objective reality, placed on a number line, would naturally give us an infinite number of 1's extending permanently into infinity and written as '1,1,1,1,1,1,1,1,1,1,....ad infinitum'
3.)Clearly, there are an infinite number of '1's'.
4.) If we order the 1's into any other number, say 3, or 4, or 6894 - this creates an illusion that those 'hold order and value' - however, in reality, there are an infinite number of '3's' on a number line just as much as there are an infinite number of '6894's' - each number is therefore infinite on a number line, it's only our subjective usage and placement that creates the illusion of 'finite'.
5.) Conclusion - all numbers are infinite and extend into infinity.
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Infinite coastline?
8 Simple Questions You Won't Believe Science Can't Answer
See: #2. The Length of the U.S. Coastline (Or Any Coastline, For That Matter)
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Another mans Understanding is...
The Number system in itself is Infinite in only two directions. However, in those directions the potential for new integers is also infinite. Volume or lack thereof, the scale is immense.
Also it would be an injustice not to speak of the Qabbalistic nature of this statement.
Ones understanding of the Qabbala limits their understanding of this line to a great degree.Knowing the relationship and the interaction of any one thing and any other thing through Gematria is IMO a demonstration of this, no matter where on the scale you choose to observe.
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This being the fourth verse of Liber Legis, we are still in very high states, the communication may be seen as coming from the supremely high then dropping down slowly. It is exactly this high state before any cause for alarm (as to division) has occurred that is meant by the verse. Here Ra-Hoor-Khuit's spell is still completely raised, Shu is mightily raising Nut, keeping her inifinity cresting and alive! This is a magickal spell against the four, against non-magickal manifestation. It sets the tone for the whole book, what it is, which is of the supreme magick rapture.
The trite is not of Hadit, that which is synonymous with the non-infinite. We as people are the numbers spoken of as separate individuals. So the verse is saying that we are all infinite, there is no difference among us in the supreme state, amongst the continuity of Nuit.
A bit of res simplex is needed here, no need to overly complexify it with knowledge and reason.
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@Wizardiaoan said
" Thus, I think that the idea is that each and every number is the exact same (infinitely small) from the perspective of Nuit - they're points, and she can store a truckload of them easily
The trite is not of Hadit, that which is synonymous with the non-infinite. We as people are the numbers spoken of as separate individuals. So the verse is saying that we are all infinite, there is no difference among us in the supreme state, amongst the continuity of Nuit.
"Pretty much what I thought - Hadit IS Nuit by virtue of other Hadits.
I may be in the wrong, but to have space manifest (Nuit) you need at least two (2-D) or three (3-D) points, since one point alone is nothing but Kether.
Now, every additional point is going to "stretch" Nuit much like air stretches a baloon (without the popping, though), because one point can never truly reach another. They can run parallel, they can cross orbits, but they're never close enough to be the same, and we need diversity.Uh, I had a thought going on here, something brilliant (to me), but I just forgot (Something about Nuit manifesting fully in Da'ath which extends to 4-10 or something, I will post it once I remember).
Must be because I just woke up.