" Can i put the matter more positively? The equivocal approach demurs about the one good that runs through all goods, or relative to which the others can be subordinated hierarchically. Diversity does not immediately call for reduction to unity; unity is one value among others. Is it clear there is any unity of virtues? In this respect, the equivocal approach represents a return to the givenness of the middle , when we live and move through a variety of possibilities, without trouble about unity."

But i can almost post scribe Your comment : easily said, or maybe, what’s all the fuss about? maybe? i am guessing, but what does one expect from an Irish Catholic. This is obviously post Vatican Council II.

The German mathematician C. L. Ferdinand von Lindemann proved (published in 1882) that [size=150]π[/size] (pi) is a transcendental number, meaning it is not a root of any polynomial with rational coefficients.

[size=150]π[/size] is irrational, even transcendental. The transformation of the same area of a circle in a square is impossible. This impossibility was given the designation “quadrature of the circle” because no one knew what the reason for that impossibility was; but 1882 C. L. Ferdinand von Lindemann showed that this problem is in principle unsolvable.

Wolfgang Pauley used the principle to further connections to Jung’s idea of synchronicity. I am still on to the parapsychological ramifications of this puzzle going back thousands of years.

Of course, my bad. So the advancement of the insufficint logical basis of mathematics being in doubt is sustained.

On Your note, the irrational relates to the square, and the transcendent to the circle. Correct me on that, not that the irrational and the transcendent are in any way related. At least that is what i can understand from what i saw, and what i deduced from what You paraphrased.

I touched on that many years ago in studying why Pi could not be represented in digital form. All irrational numbers and calculus are about converting a “natural unknown into an unnatural known” or “perfectly describing nature”. At that time, I considered creating a number system based on Pi such that the number “1” represented our current number “Pi”. All measurements would be in the form of Pi-units. And although there would be a few advantages of that, I didn’t see it as resolving the more serious problems at hand.

I haven’t verified that it is impossible to square a circle and these days, it would probably be a waste of time to try. But seeing where I am now, I suspect that I should have looked into the squaring of the circle issue more seriously long ago. These days, I am far, far past being tired of resolving issues that no one really cares about. If I proved that it really is possible to square the circle and posted that, nothing would change. Society is past the point of no return from its musings.

But if a particular number isn’t exactly known, such as Pi, no portion or exponent of it can be known. And since the “squaring of the circle” requires a square with exactly the square root of Pi as its dimensions, to resolve the issue would probably mean resolving Pi perfectly, which cannot be done in digital form. Although perhaps some exponential of Pi can be digitally represented.

The transcendentals are a subset of the irrationals. A “square” refers to an exactly knowable entity, always unnatural or conceptual, not existing in the physical universe. The “curve”, or “circle” in this case, refers to a natural entity that might actually physically exist. The effort was to find a way to exactly describe the physical universe. Calculus is as close as they got. RM:AO explains all of the actual ontological issues (“what is there”) but current mathematics can’t deal with all that RM:AO presents (“how much is there”). RM:AO presents an infinite matrix of infinite series wherein no one variable can be calculated without simultaneously resolving all the others. I have a program that approximates that effort so as to emulate space and the formation of sub-atomic particles, but really needs better programming and a bigger computer.

Might not synchronous events coincide with this idea? And James, how big a computer would be needed for this kind of verification? Supercomputers are becoming smaller, heard great progress is made with Craig types. Could a day arrive, when, such devices may be available on the market for commercial use, for about the price a lap top costs today? Of course by that time, perhaps, everyone may loose interest.

The “verification”, I have already done. That wasn’t the issue, although extremely complex to first resolve. The issue now is merely one of properly emulating such as to yield usable measurements in practical physics, economics, psychology, and sociology. The size of the computer required for such a thing depends upon the programming method. I could create a hard-wire programmed computer that would do the job very, very quickly, but it wouldn’t be very small. Semiconductor Valley could probably then reduce that into your wrist watch.

And interestingly, such a hard-wire computer actually forms the metaphysical into the physical. If a person was programmed into the metaphysical emulation, an actual real person would be in that watch, just as real as you.

And the world has already “lost interest” in any truth, as you have demonstrated.

The algebraic irrational numbers and the transcendental irrational numbers (for example “π” [“Pi”] or “e” [“Euler’s number”]) belong - of course -to the irrational numbers (cp. in the following Illustration):

And giving the squaring of the circle a little thought this morning, I realize that I can describe both circles and squares in terms of angles. And if I can get a rational relationship between those angle measurements, I could “square the circle”. But I haven’t gone that far yet.

I don’t know what exponential. I said that perhaps there might be one. It would have to be a pretty complicated one, but I think that I might have found a better approach.

And realize that “squaring the circle” has nothing to do with a “square-circle”.

Just because someone, as brilliant as he was, said that something couldn’t be done, it doesn’t mean that it is impossible. But a “square-circle” is impossible by definition of “square” and “circle” - obviously impossible, although you could have a “squarish-circle” or a “circlish-square”.

If you will “square the circle” someday, then those who have the power to determine or even dictate the relations between humans and their language, especially its semantics, will probably shange the definition of “circle” and the definition of “square”.

Yes, that is what they tend to do, but in this case, more likely to find a women and give her credit for proving all of those white men to be inferior.

There is a square out there, whose intention it is to become a circle, with the exact area, of that particular circle. Those squares out there all competing to get into that particular circle, would have to have the intention, to reach the limit, an enduring limit, to fit
that particular circle. That circle may be exact to .000000000000000001 % to fit, so that the square that hazards to try, to fit in, may really be quite
unique in the universe. But, in all probability
extending to the limit of infinity,the certainty IS, that there is, such a square. Perhaps only one.

Could You blame them after being caged into a hermanutic circle for oh so long, only to be delivered by one worthy to awaken her? This may be the real reason N broke with Wagner, the femininity of Christianity (turn the other cheek) , not the matter over redemption. The Ring, the Rheingold are basically feminine. It is only the female who has the power to redeem mankind.