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Originally Posted by amiableCDN
(not quoted all in order)
In fact every infinity needs to be taken in context of an infinity of WHAT. Mathematics of infinity are applicable once you know what infinities you are referring to. Pure infinity is purely a mathematical concept with no applicability to science or nature or existence.Functions may converge for mathematical purposes but they often do not. An increasing sequence increases to infinity and does not converge.
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Yes, I feel that can help with the formalization. I know we're getting besides the topic,
but I feel it might be worth a shot.
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There are different infinities but very little that science or mathematics has
developed to deal with it. For example there are infinite whole numbers, infinite even numbers, infinite odd numbers and infinite prime numbers. Obviously there are far less (in fact 1/2) the infinite even numbers than the infinite odd (BLUE MONKEY: whole) numbers.
I(e) = I(w)/2 but written as I = I/2 it introduces an obvious paradox.
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There are so many different ways mathematics can deal with "different infinities".
For example, limit x-> inf : x^2 = inf, and, limit x-> inf: x^3 = inf, also.
But,
limit x->inf (x^3/x^2) = inf, and limit x->inf (x^2/x^3)=0.
So we can somehow say the second limit/infinity is infinitely bigger than the first limit/infinity.
This is also about series, and infinite series.
{An=n^3}, is an infinite series and it "converges" to infinity FASTER than {An=n^2}.
( {1,8,27,64,125,...}, {1,4,9,16,25,...} )
So if the Resonance of a number or a prime or R(IP) is "an infinite series," maybe R(IP) is the limit/infinity of Resonances (plural of series in this model).
Now, every infinite series is with infinite number of elements, and we say it's the same infinity, like with the series of WHOLEs and EVENs, and NATURALs, and more, but this is not true about SETs.
The set of whole numbers can be describes as a set containing all the elements from the whole numbers series (like this series, easily defined to infinity:
{0, 1, -1, 2, -2, 3, -3 ,4 ,-4..........})
But what about REAL NUMBERS ?
(and also complex numbers of a real base/field)
Like 10, and 0, and PI, and the square root of 2 and "e", and more ?
They cannot be ordered in a series, one by one, to infinity (proven mathematically).
The infinite number of real numbers, is much bigger than the infinity of the Whole numbers (set), and the difference is also much bigger. It's called ALEPH-1, while WHOLES' is called ALEPH-0.
And EVENs' "number" and WHOLEs', is ALEPH-0 in both cases.
You can continue to define, mathematically, ALEPH-2/3/4/5... each is considerably much "bigger infinity", and even talk about ALEPH-inf, and then think about ALEPH-(ALEPH-0), or ALEPH-(ALEPH-1), and so forth, each one is considerably much more infinite than the ones before it on this list, with an "actual difference", not just half or like the WHOLEs-EVENs-issue)
Now let's try to find this R(IP).
Is it an infinite stream of frequencies without a beginning or an end ?
Does it converge to infinity much faster than any other such R(x) ?
Are all the resonances of frequencies of primes, "advancing", (as you advance on the primes numbers list), towards the R(IP), the resonance of the infinite prime ? how do they advance ?
what can you tell me about the difference between R(2), and R(3), and R(5), and R(7), and the way these Resonances advance ? Is the advancing process only showing more inner patterns of primes, which is the "loop", leading to the "infinity of it all" ?, Is there some other advancing pattern ? Since there is an infinite number of primes and infinite number of non-primes (both Aleph-0), does the resonance of the IP really mean "the global resonances of all primes, together, globally, infinitely, getting infinity bigger/stronger" ?
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Putting the undeveloped mathematics of inifinity aside, this discussion was about frequency and resonance. Every prime frequency is unique and generates a resonance unique from any smaller order frequency or resonance. WE know that whole numbers and primes are uniquely important. For all that math deals with continuous functions, every meaningful element of existence is not a continuous function. An atom is an atom and 1.4 atoms is a meaningless concept. A person is a person and 1.6 souls is a meaningless concept.
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This is not so accurate.
We can do math of non-continues-functions, like this one (f(x)=1 if x is odd and f(x)=0, if x is even, (and you can add f(x)=x for other-real-numbers, and make it semi-continuous)
1.4 atoms and 1.6 souls (humans) are not meaningless concepts.
If I calculate and find out, that I have, in a room, 3242133434.343 atoms, it's pretty good, and the 0.343 part, will help me if I want to calculate how many atoms I have in 3 such rooms.
If I divide 10 dollars to 16 people, every original dollar is now held by 1.6 people, and I can use this to know how much money each has, and calcualte more stuff if needed, thus using a "meaningless concept" and still reaching a "meaningful concept".
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Likewise the vibrations which modern science and theology propose as the fundamental nature of existence is not a continuous function.
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But what is it ?
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I can't and won't pretend to know what this all means except that individuality is more important to existance than inapplicable continuous mathematical functions, and that frequencies, vibrations, and resonances are intimately related to the existence of those primary quantities. Perhaps in an analogous sense, this is what quantum theory is all about.
The quanta of existence, what they are, how they interact, and for the purposes of this discussion how they resonate with other primary elements of existence.
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Agreed, individuality is more important to existence than such functions.
But if you check how prime numbers affect humans, and how they affect nature, you get different results.
How do prime numbers affect us ?
All the internet sending of stuff is coded with primes. They enable us to communicate globally on this planet and privately. They enabled HUMANs what was previously considered as Telepathy.
But how is nature affected ?
I understand that humanity is "nature that is conscious to prime-numbers' uniqueness and communicates with itself much more freely and easily as such (relatively of course, so far, at least)".
Of course this allows us to understand "the other" better, and nature better, as all information is becoming more and more available to us thanks to prime numbers, but how does prime numbers affect the rest of nature ?, is it in the same way ? do you mean that all of the nature/universe/universes/dimensions/galaxy is also conscious ? or also multi-interacting ?
the same way ?
Most of the information available to humans now, from an indirect-source, is available thanks to prime numbers. how exactly is direct-experience involved ?
(as in the forming of the information in the mind, before being transmitted to others with primes, primarily)
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Again though the discussion is really not about infinity but about unique and infinitely increasing frequencies and resonances which define how the elements of existence interact.
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Blue Electric Monkey