@farmerman,
Quote:My tests are usually 70% mathematics and calculus, (subjects that I understand are beyond your own "rote" mind)
Oh yeah!!
You are not only unaware that there is no such thing as mathematics as such but you resist ever finding out.
There are as many number worlds as there are cultures. You are more dogmatically Christian than I am. The only number world you think has any validity is the Christian one.
Number is like word. Both comprise, denote and fence off in a mechanical demarcation of impressions of the world around. The non-soul. The other. The alien. And these impressions are actually not containable like that. They cannot be fenced off because they are contiguous with everything else in nature.
Galilleo said that Nature is " written in mathematical language" but Nature is seen, felt and thought in a different way in different cultures.
The American use of "math" to denote the skill of thinking practically in figures is not to be confused with mathematics which is an art and thus metaphysical and is thinking in numbers. Not working out mortgage repayments. I assume that the usage is meant to flatter everyone, like many another usage in American education, "masters", "major in", "graduate", "sophomore" and such like, so that they can attach to themselves bits of the cachet associated with "mathematics" when all they are really doing is arithmetic and sums.
Cathedrals, Doric temples, pyramids, mosques and pagodas are mathematics in stone. All different and quite profoundly so.
Can you find the Christian space representation of oil painting in the Classical icon and statue or in the dissolving landscapes of Chinese watercolours or in the garish symbolism of Amerindian tradition or in the sense of the grotesque and fantastic in Hundu depictions or in the mosaics and filigrees of the Magian world?
And all of these spill over into institutions, manners, ceremonials, musical tone fields, ornament and language and because they are all expressions of, for want of a better expression, the style of the soul of the particular culture.
Such soul styles depend entirely on the culture which nourished them and your mathematics and calculus is Christian from tip to toe. It stands in the same relation to Classical mathematics as the moon rocket does to the wheelbarrow. Or, dare I say, lingerie to the breech cloth.
Your denial of Christian theology, one assumes in the service of certain needs which I will forbear mentioning, is the real source of all your confusions.
The idea of Classical geometry was actualised in architecture and ornament long before it was codified in Euclidean theorems just as the Gothic styles long pre-dated the mathematics of the infinitesimal calculus.
Poor old Kant fell into the same confusion. His
a priori, necessities and universal validities, clean forgot to include his own Christian socialisation which was, as you keep trying to tell us, neither necessary nor universally valid but a "feeling" and thus alterable. A race feeling one might say. A set of intellectual prepossessions, an absurdity, which are on Ignore.
It is a rare man who can have his intellectual prepossessions discussed in a calm and measured manner, and, I'm sorry to say, an even rarer woman.
Such considerations as these, which I am merely skating over, leads to the conclusion that any idea of a constant structure of the intellect is an illusion and that there are other ways of knowing and that universal truth and universal error cannot be dogmatically distinguished.
They can only be left to fight it out in the Darwinian struggle which can be said to be a valid universal necessity and a destiny(assuming we are alone in the universe--who knows what to say if we are not) and which is equally dangerous to each and every culture soul. Culture might be defined as the setting aside of such a destiny. A strict Darwinian can have no culture soul although he might act one for social reasons.
This points to Spengler's error in accusing Darwin of being shallow and limited. What danger would exist if Darwinianism was shallow and limited.
The general thesis is proved by your own capacity to identify a work of art, a painting, a relief, an ornament, a dress, etc with the culture it came from. Usually instantly. Experts can identify localities of sub-cultures likewise.
You are talking about Christian mathematics fm. Religious in essence.