Integer pairs preclude negative numbers

[Epsilon=One]

Integer pairs preclude negative numbers

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Natural Function Integer Scale
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The Natural function (http://www.physicsmathforums.com/showthread.php?t=121), Psi, Ψ, (x^2 – x), is found everywhere in Nature and demonstrates the equivalence of Brunardot pairs such as:

0 & 1, -1 & 2, -2 & 3, -3 & 4, et cetera, ad infinitum.

Each integer of a Brunardot pair returns the same Natural function (http://www.physicsmathforums.com/showthread.php?t=121) value; and, is equidistant from Zero and plus One, respectively, on an integer scale, as above.

The Natural function (http://www.physicsmathforums.com/showthread.php?t=121), Psi, Ψ, (x^2 – x), demonstrates the Natural absence of negative numbers; and, thus explains why there is no antimatter (http://www.physicsmathforums.com/showthread.php?t=178) within Reality.

Zero and plus One, which are Naturally equivalent, represent the congruity of the infinite and infinitesimal at Infinity (http://www.physicsmathforums.com/showthread.php?t=109).

The soliton, "s," of Brunardot Ellipses' (http://www.physicsmathforums.com/showthread.php?t=104), heuristically, represents the Natural function (http://www.physicsmathforums.com/showthread.php?t=121).

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[Mr. Robin Parsons]

© Mr. Robin Parsons Kingston Ontario Canada MMV

Started looking at this and realized that what you seem to (me, at least) be saying is something that I had been trying to find a/any mathematician, who, if understood (it) well enough, would recognize.

It comes from somethings that I had learned, long ago, (it seems) in Math, the Logic of it all that tells us that we cannot add 2 apples, and 2 oranges (4 fruit) because they are not the same, SO it follows that, if you cannot prove any two things to be "Identical" (in this logic we look for Perfectly Identical) then you could never arrive at the Number two, thereafter the only numbers that are usable/existent are One, and Zero, the Delineation, and the Space that surrounds it, respectively (and is usually 'in' it, too)

Everything Is One!

That, I'm kinda sure, isn't quite what you are driving at, in your assertion, but there is a Similarity to it all...


....and at a distance, too :p Spooooooky....! :rolleyes:

(Forgive my Humor{?} :D )

[Epsilon=One]

...thereafter the only numbers that are usable/existent are One, and Zero, the Delineation, and the Space that surrounds it, respectively (and is usually 'in' it, too)

Everything Is One!

That, I'm kinda sure, isn't quite what you are driving at, in your assertion, but there is a Similarity to it all...

....and at a distance, too :p Spooooooky....! :rolleyes:Wow!!! You picked up on the understated saliency of the post.

One and Zero are different from the other integers. I refer to them as special . . . a duality, that is a singularity because Zero is not a Natural integer (http://www.physicsmathforums.com/showthread.php?t=100).

I think you would be interested in my Proof of One (http://www.physicsmathforums.com/showthread.php?t=165), which is an answer to Gödel's (http://www.usna.edu/Users/math/meh/godel.html) Incompletemess Theorem (http://mathworld.wolfram.com/GoedelsIncompletenessTheorem.html). (There are two links on this line.)

[ste]

Zero and plus One, which are Naturally equivalent, represent the congruity of the infinite and infinitesimal at Infinity (http://www.physicsmathforums.com/showthread.php?t=109).


Zero is a placeholder in our number system. It holds a position and shows that there is no other digit in that place. If this is true, how can it be equivalent to One?

[Epsilon=One]

Zero is a placeholder in our number system. It holds a position and shows that there is no other digit in that place. If this is true, how can it be equivalent to One?They both represent a singularity. There can be only one singularity. Ipso facto.

Also, note that the Natural function (http://www.CQthus.com/PT/NF) returns the same value for each.

Part of your quandry lies in that you are confusing contrived, symbolic numbers with Natural numbers that are generated by Natural phenomena.

With a Pulse, "P," of One or Zero, the same entity is generated . . . which is nil.