1220.00 Indigs
1220.10 Definition: All numbers have their own integrity.
1220.11 The name digit comes from finger. A finger is a digit. There are five fingers on each hand. Two sets of five digits give humans a propensity for counting in increments of 10.
1220.12 Curiosity and practical necessity have brought humans to deal with numbers larger than any familiar quantity immediately available with which to make matching comparison. This frequent occurrence induced brain-plus-mind capabilities to inaugurate ingenious human information-apprehending mathematical stratagems in pure principle. If you are looking at all the pebbles on the beach or all the grains of sand, you have no spontaneous way of immediately quantifying such an experience with discrete number magnitude. Quantitative comprehension requires an integrative strategy with which to reduce methodically large unknown numbers to known numbers by use of obviously well-known and spontaneously employed linear-, area-, volume-, and time-measuring tools.
1220.13 Indig Table A: Comparative Table of Modular Congruences of Cardinal Numbers: This is a comparative table of the modular congruences of cardinal-number systems as expressed in Arabic numerals with the individual integer symbols integrated as indigs, which discloses synergetic wave-module behaviors inherent in nature’s a priori, orderly, integrative effects of progressive powers of interactions of number:
Visually Nonintegrated Indigs Indig
1 1 1
11 11 2
1 1 1 111 3
11 11 1111 4
11 1 11 11111 5
111 111 111111 6
111 1 111 1111111 7
11 11 11 11 11111111 8
111 111 111 111111111 9
two hands 1111111111 10 1
too much 11111111111 11 2
1220.14 Man started counting large numbers which he did not recognize as a discrete and frequently experienced pattern by modularly rhythmic repetitive measuring, or matching, with discrete patterns which he did recognizeas, for instance, by matching the items to be counted one for one with the successive fingers of his two hands. This gave him the number of separate items being considered. Heel-to-toe stepping off of the number; or foot-after-foot length dimensions; or progressively and methodically covering areas with square woven floor mats of standard sizes, as the Japanese tatami and tsubo; or by successive mouthfuls or handfuls or bowls full, counted on the fingers of his hands, then in multiples of hands (i.e., multiples of ten), gave him commonly satisfactory volume measurements.
1220.15 Most readily humans recognized and trusted one and one making two, or one and two making three, or two and two making four. But an unbounded loose set of 10 irregular and dissimilar somethings was not recognizable by numbers in one glance: it was a lot. Nor are five loose, irregular, and dissimilar somethings recognizable in one glance as a number: they are a bunch. But a human hand is boundaried and finitely recognizable at a single glance as a hand, but not as a discrete number except by repetitively acquired confirmation and reflexive conditioning. Five is more recognizable as four fingers and a thumb, or even more readily recognizable as two end fingers (the little and the index), two fingers in the middle, and the thumb (
1220.16 Symmetrical arrays of identically shaped and sized, integrally symmetric objects evoke spontaneous number identification from one to six, but not beyond. Paired sets of identities to six are also spontaneously recognized; hence we have dice and dominoes.
1220.17 Thus humans learned that collections of very large numbers consist of multiples of recognizable numbers, which recognition always goes back sensorially to spontaneously and frequently proven matching correspondence with experientially integrated pattern simplexes. One orange is a point (of focus). Two oranges define a line. Three oranges define an area (a triangle). And four oranges, the fourth nested atop the triangled first three, define a multidimensional volume, a tetrahedron, a scoop, a cup.[^57]
Change: Add image
Fig. 1220.16.
1220.20 Numerological Correspondence: Numerologists do not pretend to be scientific. They are just fascinated with a game of correspondence of their “key” digitsfinger counts, ergo, 10 digitswith various happenstances of existence. They have great fun identifying the number “seven” or the number “two” types of people with their own ingeniously classified types of humans and types of events, and thereafter imaginatively developing significant insights which from time to time seem justified by subsequent coincidences with reality. What intrigues them is that the numbers themselves are integratable in a methodically reliable way which, though quite mysterious, gives them faithfully predictable results. They feel intuitively confident and powerful because they know vaguely that scientists also have found number integrity exactly manifest in physical laws.
1220.21 The numerologists have also assigned serial numbers to the letters of the alphabet: