My new arithmetic.
1 + 1 = e
We have had exponential measuring scales, like dbs for ages,
but they were empirically devised and used because they worked, without any
fundamental understanding of why they worked, except that growth rate for almost
everything is proportional to size. The
principle was not derived ‘a priori’ (by thought alone) from the fundamental theorems
of logic.
Mathematics has been at fault since Frege in the belief that
integers have an ontological existence in the “real world” of aware sense
experience equal to physical objects like rocks or pencils
Things exist or do not exist, so the concept of mathematical
unity must exist, but zero does not exist in the real world as nothing is nothing. It is reasonable to believe that the numbers
e and pi are also “real” as their influence in the ways that energy-systems and
“things” relate is obvious. Most other
integers are compounds or agglomerations of single things, not entities in
themselves, not even the much loved Prime numbers and certainly not the fractions
including irrational numbers.
The whole is greater than the sum of the parts. Two separate things together in a pair has a
much higher level energy-system than merely the arithmetic, or vector sum of
the separate energy systems. The example
that is most evident to all people is the idea of two people becoming a “couple”,
or the business success of Partnerships compared to just a lot of people
working on the same project. One anything, paired properly with another is not
two of them but “e” of them, for surely it is this astonishing number that is
the result, which is why everything grows at that rate when it grows naturally.
That is why married couples pop out babies; they have more
energy in their system than two people can maintain with stability, so produce
offspring.
This theory can obviously be extended to more than two, when
it becomes a subject for micro-sociology and small-group theory. But the complexity becomes challenging, like
taking a mathematical concept to other higher dimensions and probably has
little real-world significance.
Hierarchy of awareness.
It is possible to postulate a hierarchy of awareness. Aristotle and the ancients did this,
believing that people were the most aware creatures, but all living animals had
a lower type of “soul” that extended down in degrees till it reached plants,
and thence to inanimate objects themselves, like crystals and rocks, and even molten
metal.
When it was first seen that all “knowledge” was everything
that had been thought, but even before any person thought of something, it
seemed to have existed, which is why the “mind of God” became a necessary part
of “Creation” because without it there was no one to know all the things that
were not yet (at any time) known by any people.
If Consciousness is a propert y of all “energy-systems”,
then even simple systems must be self-aware, though the simple sense of being
that a rock might hold is unimaginably basic, though possessing mass, there
might be some sensation of acceleration though space-time. Indeed, we experience it and believe it is a
higher property of our advanced biology, but perhaps it is intrinsic in our
physical existence.
"Reality" only exists because it is known to exist by itself. No "mind of God" is needed if we believe that matter itself is what is self-aware and hence can know of its own existence.
Much more interesting that looking downwards in this
hierarchy is looking up. We see
ourselves as the pinnacle of the development of Consciousness. If we accept the concept of the hierarchy, we
see ourselves as having morphed or evolved out of lower forms, and have now
reached the apotheosis.
It is more logical to expect that the future will proceed
with continued development instead of stagnation at the present level for
ever. In other words, our human
consciousness and self-awareness might eventually be superceded by a higher
level, that is as much above us as we are above the great apes and other “animals”,
and they are above plants, etc. These
things are surely quantified in some way, so there are shells of stability at
some order of magnitude and the next level is a vast jump away. We, people, will not gradually develop our
consciousness, but will all stay within the same range for many generations,
then a new parallel form of higher consciousness will emerge.
Or, perhaps it already has and we just cannot yet
communicate with it?
