er in the way indicated here and become
philosophic or psychological mathematics. This new science, of course,
would not change the ordinary mathematics for ordinary purposes. It would
be a special mathematics for the study of Man dealing only with the
"natural finites" (the old infinitesimals) and great numbers of different
orders (including the normal numbers), but starting from a real, common
base--from 0, and next to it very small number, which is a common
_tangible_ base for _psychological_ as well as _analytical_ truths.
This new philosophic mathematics would eliminate the concept of
"infinitesimals" as such, which is an _artificial_ concept and is not as a
_concept_ an element of Nature. The so-called _infinitesimals are Nature's
real, natural finites_. In mathematics the infinitesimals were an
analytical--an "_M_"--time-binding--necessity, because of our starting point.
I repeat once again that this transposition of our starting point would
not affect the normal mathematics for normal purposes; it would build
rather a new philosophic mathematics rigorously correct where analytical
facts would be also psychological facts. This new mathematics would not
only give correct results but also _true_ results. Keeping in mind _both_
conceptions of time, the scientific time and the psychological time, we
may see that the human capacity of "Time-binding" is a very practical one
and that this time-binding faculty is a _functional_ name and definition
for what we broadly mean by human "intelligence"; which makes it obvious
that time (in any understanding of the term) is somehow very closely
related to intelligence--the mental and spiritual activities of man. _All
we know about _"time"_ will explain to us a great deal about Man, and all
we know about Man will explain to us a great deal about time_, if we
consider _facts_ alone. The "ghosts" in the background will rapidly vanish
and become intelligible facts for philosophic mathematics. The most vital
importance, nevertheless, is that taking zero as the limit and the next to
it very small magnitude for the real starting point, it will give us a
mathematical science from a natural base where _correct_ formulas will be
also true formulas and will correspond to psychological truths.
We have found that man is an exponential function where time enters as an
exponent. If we compare the formula for organic growth _y==e__kt_, with
the formula "_P R__T_," we see that they are of the s
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