A Brief Demonstration that:

Zero and Plus One are Equivalent

and are singularities related to, respectively,
the Infinitesimal and the Infinite

It is well known that Zero, "0," and Plus One, "+1," possess characteristics that are similar to one another; and, characteristics that are, also, different from all the other integers.  (That is: the results of being multiplied or divided by themselves are different than that for all other integers; Plus One is a factor for every prime number; all integers divided by Zero are equivalent, and so on.)  The reason for these unique characteristics is that these integers are related to the singularity . . . Infinity.

Zero is related to the infinitesimal; and, less intuitively, Plus One is related to the infinite; Oneness is defined as a singularity that can be neither divided nor added to.  It is axiomatic, by definition, that there can be only one singularity, which is a limit beyond Reality that can only be approached.  Therefore, if Zero and Plus One are so related to the infinitesimal and the infinite; then, at their limits, they must be equivalent . . . equal to one another.

Following is a demonstration of Plus One's relationship to the infinite as derived from the integer values of the Brunardot factor, "F," (ni2 - ni), which factor, most importantly, is salient to all Natural Ellipses.

F = ni2 - ni The Brunardot factor (ni is any integer).
Let, a = b a or b are any equivalent integers.
Then, a2 - a = b2 - b; The Natural Formula.
a2 - b2 = a - b;
(a + b)(a - b) = a - b;
a + b = 1; (After a division by Zero (a - b).
Thus, a = -b + 1; and,
b = -a + 1;
Also, a = -a + 1; and,
b = -b + 1.









a (or b) is any integer (including zero), b (or a) is equal to a negative integer of the same value (a or b's "mirror image") plus one.  (That is, in accordance with the above Natural Formula: -5 = +6, -7 = +8, 9 = -8, 0 = +1, and so on.)
Thus, 2a = 1; and,
2b = 1;

2nn = 1

is the Conceptual Theorem
(nn is any Natural number).

a (or b)

be any Natural number approaching
the infinite;

2a (or 2b),

which equals 1, must, also, approach
the infinite along with 1, and,

it is axiomatic that Zero is at the
infinitesimal limit.

the infinitesimal and the infinite are
the singularity: Infinity.

Zero and Plus One are, respectively,
related to the infinitesimal and the
infinite . . . Infinity; and thus, they are

The Conceptual Theorem, 2nn = 1, relates to the universality and omnipresence of the wave forms of Pulsoids and Oscilloids, which are ellipsoids that are derived from the Brunardot factor, ni2 - ni.

The mathematical occurrences, described herein, are derived from the manipulations of division by Zero.  Such occurrences cannot be ignored, as is, often, the usual procedure in conventional mathematics; the meanings of these occurrences, as are clearly shown by Natural Ellipses, must be interpreted.


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E-mail :  Brunardot@Brunardot.com

There is one Universe.

It is perpetual, in equilibrium;

and, a manifestation of the
Unified Concept; thus;

. . . the Fundamental Postulate.


are a single discipline, Philogic,
which proclaims perpetuity

and the nexus of Life; such is

. . . Conceptualism.


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