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• Care Circulus, David wrote: Zero is the point of origin in a Cartesian coordinate system, and is defined along any axis by the negative continuation, to the
Message 1 of 3 , Dec 1 5:31 AM
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Care Circulus,

David wrote: "Zero is the point of origin in a Cartesian coordinate system,
and is
defined along any axis by the negative continuation, to the left in the
case of the x axis (or down along the y axis or back along the z axis)
and the positive continuation to the right (or up or fwd as the case may
be). In mathematical parlance this is absolute value, because a
movement to the left though it be negative is actually still only that
value in a different direction. Therefore the 2=0 equation is not only
valid but indicative of the most basic definition of 0 as a value
correlating arithmetic to geometric systems."

I ask, how can zero as a label on a Cartesian coordinate be confused with
the concept of 0 as nothing?
One is a place, the other is a void. Sanskrit: sunya Arabic: as-sifr
(from which comes Cipher via Lat. Zephyrum It. zeuero and finally zero).
Look at the vanishing triangle:

0
2 2
5 7 9
4 9 16 25
1 5 14 30 55

Built on a series of squares of the natural numbers, this form is an
exemplar of the concerns of Pythagorean magick which haunt us to this day.
The differences between terms in a defined series lead inexorably to naught.
This is not a place. It is All. Hence the difference between a coordinate
and Nothing. One is Hadit; the Other is Nuit.

Agape Aiwass Thelema
JB

"Is the riddle of God, Man, and World, then, so arcane? No! But no one
wants to hear this; thus a secret it remains." Johann Wolfgang Goethe
• Do what thou wilt shall be the whole of the Law, ... confused with the concept of 0 as nothing? One is a place, the other is a void. Sanskrit: sunya
Message 1 of 3 , Dec 1 12:12 PM
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Do what thou wilt shall be the whole of the Law,

> I ask, how can zero as a label on a Cartesian coordinate be
confused with > the concept of 0 as nothing? One is a place, the
other is a void. Sanskrit: > sunya Arabic: as-sifr (from which
comes Cipher via Lat. Zephyrum It. zeuero

Might be because 'zero' or 'nothing' may be considered as a point
without extension. I think the vector/magnitude sum
is proably a good way to rationalize 0=2 so long as it is recognized
that it is not intended to be a logical or mathematical idetity.

Love is the law, love under will,
Cameron
• Care Magi, Krishadawn wrote: Interesting! How were the originating numbers chosen at the base? Is there a formula in that? Are only certain numbers used?
Message 1 of 3 , Dec 2 6:42 AM
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Care Magi,

"Interesting! How were the originating numbers chosen at the base? Is
there
a formula in that? Are only certain numbers used?"

The series of numbers at the bottom of the triangle follows (acquired by
squaring each number in the simple triangular number series):

2 2 2 2 2 2
2 2 2 2
1 (1 + 2 ) (1 + 2 + 3 ) (1 +
2 + 3 + 4 ) etc.
1 5 14
30
The next line of the triangle is formed from subtracting the preceding
number from the next at the bottom.

The squares of natural numbers are revealed in this case.
4 9 16 25
One can devise infinite such series for amusement.

These series were of little practical value, but of intense interest to
early mathematicians (who in most cases were also mages).
Then, perhaps in China, series were used to indicate probability, of value
in games of chance. One can work out the odds of any three or four or two
cards being drawn from a deck of fifty-two using such series. Any good card
player can tell you that the odds of choosing the Ace of Spades and the Jack
of Diamonds (or any other two cards) from a deck of fifty-two are 1,325 to
one. The cards, perhaps marked at first just to indicate difference, took
on individual personalities and magickal power in the minds of those
familiar with them.
Then, as Capitalism developed, Probability became a Science, most useful to
Insurance Companies.
Men slowly going blind in poorly lit offices, became Actuaries, oddsmakers
of death and destruction. Profits rode on how well they did their work.
But these odds were based on history; and history is Inconsistent.
As the Pythagorean search for the "perfect" number was futile in swirling
Malkuth, Probability,by definition, is unreliable. And the dichotomy of
those who worked numbers for practical use and those who worked them for
their own sake continues.
It has been said that those who were workers developed the science of
statics and dynamics; their numbers were real tools. And those with leisure
time saw numbers as imaginary and magickal things. Hence we have the Origin
of this discussion of what is Zero. Is it a Cartesian Point, simply so
labeled? Or is it an imaginary thing of a Mage's Philosophy?

The Simple Triangular Number Series:

X
X XX
X XX XXX
X XX XXX XXXX
X XX XXX XXXX XXXXX
1 3 6 10 15

The Hexagonal Series:

X X X X
X X X
X X X X X
X X X X X X X
X X X X X
X X X X X X X X X X X X X X
X X
X X X X X X X
X X X X X
X X X
X X X X X

X X X X

1 7 19
37

Agape Aiwass Thelema
Johnnyb

"All the wonders of magic are performed by Will, Imagination, and
Faith."-Paracelsus
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