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 same type and the _law of organic growth_ applies to the human _time-binding energy_. We see, too, that the time-binding energy is also “_alive_” and multiplying in larger and larger families. The formula for the decomposing of radium is the same—only the exponent is negative instead of positive. This fact is indeed very curious and suggestive. Procreation, the organic growth, is also some function of time. I call “time-linking” for the sake of difference. Whether the energy of procreation or that of “time-linking” can be accounted for in units of chemical energy taken up in food, I do not know. Not so with the mind—this “time-binding,” higher exponential energy, “able to direct basic powers.” If we analyse this energy, free from any speculation, we will find that this higher energy which is somehow directly connected with “time”—no matter what time is—is able to _produce_, by transformation or by drawing on other sources of energy, new energies unknown to nature. Thus the solar energy transformed into coal is, for instance, transformed into the energy of the drive of a piston, or the rotary energy in a steam engine, and so on. It is obvious that no amount of _chemical_ energy in food can account for such an energy as the time-binding energy. There is only one supposition left, namely, that the time-binding apparatus has a source for its tremendous energy in the _transformation of organic atoms_, and—what is very characteristic—the results are _time_-binding energies.