From the preface to Hermann Grassmann’s 1862 version of The Ausdehnungslehre
(with much thanks to Dr. Desmond Fearnley-Sander for this quote of Grassmann):

I remain completely confident that the labour I have expended on the science presented here and which has demanded a significant part of my life as well as the most strenuous application of my powers, will not be lost. It is true that I am aware that the form which I have given the science is imperfect and must be imperfect. But I know and feel obliged to state (though I run the risk of seeming arrogant) that even if this work should again remain unused for another seventeen years or even longer, without entering into the actual development of science, still that time will come when it will be brought forth from the dust of oblivion and when ideas now dormant will bring forth fruit. I know that if I also fail to gather around me (as I have until now desired in vain) a circle of scholars, whom I could fructify with these ideas, and whom I could stimulate to develop and enrich them further, yet there will come a time when these ideas, perhaps in a new form, will arise anew and will enter into a living communication with contemporary developments. For truth is eternal and divine.

And thus for everyone still seeking more eternal and divine "truths"...

"By relieving the brain of all un-necessary work, a good notation sets it free to concentrate on more advanced problems, and, in effect, increases the mental power of the race." Alfred North Whitehead

II.

From a web-friend much taken with the "Combinatorial Hierarchy" of the late Frederick Parker-Rhodes, well described in the 1992 book, "Combinatorial Physics"...

A madman sees things that others do not see;
a genius is someone who can show it to them:

Indeed, Dr. John Lienhard in his classic inner-and-outer-eyes-opening essay points out that human history often shows us that one era's "madness" may well be another era's "sanity" and creativity. Note: a great example of the fact that we tend to not believe what we can not comprehend is Dr. Mark White's revelation of the genetic code in terms of Platonic Solids!!!

IV.

And thus in the spirit of Mark White's geometric exploration of DNA, from me to you: the meta-logic that underlies the meta-logic of the Template Matrix, AKA Templix . . .

"Logical thinking" (the conventional thinking required for taking small steps in science and mathematics) is like placing brick on brick while constructing a commonplace edifice; whereas "meta-logical thinking" (the kind of "free-thinker" thinking that produces new scientific and mathematical paradigms) is like manifesting a geodesic dome. I.e., when you construct an edifice made of bricks, each new brick must be supported by at least one previously put-in-place brick the way each step in logic is supported by one or more previous steps. Whereas, just as none of the struts of a geodesic dome provide stability for the whole structure until the last strut is in place, so too meta-logic does not require its steps to be supported by other steps until all steps are in place. Perhaps that is why Aristotle said the mark of an educated person is the ability to entertain (as in forebear to bear weight on) an idea without believing it. It is not easy to turn off your usual way of thinking, x, and replace it by an unorthodox one, y, but why not give it a try?

V.

Consider, for instance, the easily overlooked complementary constraints "x until not x and not y until y" in any purposeful change from x to y. For example, ponder these three circumstances . . .

1. you are single, x, until you are married, y, and you are dating with the hope of marriage;
2. you are an under-graduate, x, until you have been graduated, y, and you are in school with the intention of getting a degree;
3. you believe, x, until you have changed your mind to an opposite belief, y, and you are wrestling with something very sacred to you the way Jacob wrestled with God.

Furthermore, note that each of the above circumstances is a journey, and more specifically a journey from an all x and no y (1x, Oy) first state to a no x and all y (Ox 1y) last one, with each of those journeys like a fractal perhaps having one or more first through last steps. Plus also note that each of those from x to y circumstances is about both x going off and, in a complementary way, y coming on.

And with those curious data points in mind, now play around for a moment with the Templix Technologies program below, which seeks:

• to represent that diminishing x and embryonic y kind of journey;
• in such a way as to always be "at one" with both the letter and spirit of the law(s) which are in all ways governing each such change in circum-stance;
• whether it/they be civil law(s), institutional dictate(s), or God Only Knows What kind(s) of rule(s) and regulation(s).

And after our "from 1x, Oy to Ox, 1y" Templix.jar gives you an admittedly imperfect glimpse of that singular class of changes (which are always, and in all ways, ever whole and one), take this next, perhaps less imperfect step in a journey that claims to take seekers from darkness towards light . . .