The Number One
© Copyright 1999 by J. L. Waters.
All Rights Reserved
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The number one is what every child learns to add to itself to define the number two.
Before the child learns to add one to itself to get the number two, the child can’t get to
number three, or to number four, or to any other number.
When the child learns to add one to itself to get the number two, he isn’t thinking critically
the way we are thinking now. Instead, the child is just moving his body, and reciting the
names of the whole numbers. This is true whether the child is learning to count in
Russian, or in Spanish, or in any other language.
Later, the child learns to write out the numerals 1,2,3,4,5,6,7 etc. But this may not
happen until several years after the child has learned to count.
From this we see that in the beginning, mathematics is learned through body movement.
And when we think about body movement, we observe how the moving hand moves
gracefully with a continuous movement, so that if I take up a pen in my right hand, and let
my hand produce lines with a continuous movement, I will produce continuous, flowing
line drawings with my pen hand. But how do mathematicians define this continuity?
In just a few sentences, we have moved through many thousands of years of the history of
mathematics. But if you haven’t studied mathematics in depth, you might not get the
point. A vast amount of careful thinking has been produced, to move mathematics all the
way from its beginnings in infancy all the way up to the mature modern theories. And
continuity theory is a modern topic in mathematics.
You don’t have to be a mathematician to appreciate that the moving hand is coordinated
by an intelligent brain. Some hands are better coordinated than other hands, but the brain
which coordinates hand movements is a highly evolved brain. But this hand evolved its
intelligence a long time before wordy philosophers began to compose treatises which
defined what intelligence is. And what the IQ tests measure is not the fine motor
intelligence which guides human hands.
As far as the number one is concerned, this first whole number is used by each child to
count the other whole numbers. And in terms of these whole numbers all of the fractions,
ie the rational numbers, are defined. And by using rational numbers the decimal numbers
and the irrational numbers are defined. And again, this paragraph collapses thousands of
years of the history of mathematics into a few words. And mathematicians haven’t yet
made a careful study of the non-rational, non-verbal brain.
This non-rational, non-verbal brain has been evolving for hundreds of millions of years. It
is present in all mammals. Humans have evolved to be specialized in their use of their
hands. And some humans think through their hands, more than as they talk or as they just
sit motionless as suggested by the statue by Rodin, “The Thinker”.
As the child counts by adding the number one to itself to get the number two, the child is
moving his body. Later the child concentrates upon just moving one hand to count
tangible objects such as pennies or marbles. And even if a child just looks at different
objects and counts by moving his eyes, he is still moving his body in order to count. The
objects the child counts exist in different positions in space, and to move from one object
to another object, one moves through the continuum of space as time passes.
The basic movement is through the continuum. But what is the continuum?
Defining what the continuum is has been the work of mathematicians for centuries.
In modern mathematics there are theories of continuity, and continuous functions, and set
theory, and other theories which are required to understand using rational language, what
is correct to imagine between any two points of spare and any two points of time.
What is experienced between two points in space-time needs to be integrated with what
rational philosophers have come to understand in theory. Why? Because the reasoning
mind and the feeling mind belong to the same brainy creature we call human. Until this
mind-body integration is performed, there will be a lot of confusion and error in human
feeling and in human thinking. Thinking and feeling will remain mysterious and often at
loggerheads.
So when you look at a child learning to count, don’t dismiss this as “simple” mathematics.
It might be that the old prophet’s idea, “A little child shall lead” refers to this very habit
in mature thinkers to overlook and dismiss as unworthy of study what is so basic that no
one considers it worth paying serious attention to. Then, by taking more notice of things
some new theory of “The Lord” (that is to say the source of old prophecies) will be
originated which explains the sensation of unity (the number one) felt by all of mystics
from time to time. This new theory would make it possible for most any diligent high
school graduate to learn how to become even better mentally integrated than the saints,
prophets, and other spiritual leaders of the past ever could be.
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© 1999 Messiah
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