Updated: 2023.04.12
Pã•qidꞋ Yi•rᵊmᵊyãhꞋu |
2005.05.29 – In the beginning of science, there was religio-mathematics. There was no distinction between religion and mathematics or science. They were one unified theory and they developed — grew up — as one.
Only later, when the priests of religion began to lag behind in their mastery of mathematic and scientific disciplines and rely increasingly on supernatural mysticism and superstition, a crack appeared, which has widened ever since, between the priests of religion and the priests of mathematics and science of the Creator-Singularity.
The latter became our scientists who, today, often goes to great lengths to distance themselves from the "other priests" of the supernatural mysticism and superstition. Over time, today's scientists have lost the connection between the laws they study and the Creator-Singularity Author of those laws. However, the relation of the physical universe and the the Creator-Singularity Author of its immutable laws remains, and must always remain, the essence of logic, mathematics and science.
Science, however, is not entirely free of its own flaws. Recently, its advocates have begun campaigning to change science from a disciplined logical pursuit into the unknown to a pursuit limited to the known — the "natural," precluding the unknown and, thus, introducing a limiting logical hindrance to scientific progress.
For many, one of the first shocks in studying ancient mathematics and the meanings of numbers in the Bible is that the origin of Hebrew גִּימַטְרִיָּה, like the term "synagogue," is a Hellenist loan word, from the Greek γεωμετρια!!!
Only later, the Greeks injected their Hellenist quackery mysticism of ισοψηφον — and diverting basic arithmetic and γεωμετρια operations to derive other words. There is no science involved in the leap of faith from logical operations performed on numbers to geometric rearrangement of letters to derive mystical meanings. It’s strictly mystical quackery. Nevertheless, circa B.C.E. the second century, Hellenists (Jews) imitated their Greek patrons, incorporating this idolatrous Hellenist occultism, γεωμετρια (not קַבָּלָה, which didn't come along until the 12th century C.E.), into their assimilation.
In contrast to the convenient, pseudo-scientific, geometric rearrangement of letters to derive supposedly related meanings (while ignoring countless inconvenient, contradictory, arithmetically related meanings) of גִּימַטְרִיָּה, Medieval Jewish mystics developed an elaborate occult system that was denounced in the most strident terms by no less a scientist than Ram•ba"mꞋ. Though denied by Jewish "Kabbalists," it is well known by historians, however, that the Jewish occult, קַבָּלָה, is a phenomenon concocted by Medieval mystics that has no connection to 1st-century Rab•ãnꞋ Shim•onꞋ Bar Yo•khaiꞋ (Rashb"i) as claimed by Kabbalists. Nevertheless, the insatiable hunger of the masses for mystical, supernatural (irrational), quackery denounced by תּוֹרָה prevailed over Ram•ba"mꞋ, over the eminent historians and over the other rationalists.
In ancient times, by contrast, there was no difference between mathematics of mathematicians and mathematics of the Bible; nor between the science of the Bible and the science of scientists. There was only a rudimentary understanding of mathematics and science. This implies that Biblical mathematics and Biblical science should also be the same today as the mathematics and science of mathematicians and scientists, as it was in ancient times. Where the two differ derives from Talmudic "Sages" and commentators who, in reality, were often pseudo-logical, pseudo-scientific — and pseudo-Biblical — incompetents in science and mathematics and, therefore, in Bible. It’s clear from a study of the development of mathematics and science that, to the ancients, the Bible was about the Creator of the natural (the universe), with no contradictions between the Creator, mathematics and science; not a self-contradicting god dependent upon contradicting the Creator’s perfect laws to accomplish supernatural goals.
Most people are familiar with the conundrum of Mᵊtu•shë•lakhꞋ, recorded as having lived to the age of 969 years in the face of all evidence to the contrary. When we look at the historical world at that time, the lunar calendar was in wide use: a lunar "year" being our modern month. This translates to Mᵊtu•shë•lakhꞋ having lived until a more plausible ripe old age of about 81 years.
Not all ages can be explained by the lunar calendar, however. Recorded "ages" between ≈200-600 "years" remain problematic; though these all lived during the transition from the lunar to solar calendar. One clue seems to be the frequent association of age with some notable event or accomplishment to an "age" in "years." Ancient peoples had no calendric anchor as we do (e.g., an agreed "zero" year) for, and accordingly, attached little importance to, calendar years as we do today. Anchors were many (reigns of kings in various surrounding kingdoms) and changing. What was important to them was attaching appropriate respect to the venerable.
Thus, people of note seem to have been awarded recognition, like today's academic degrees, in years of life accomplishment. If we view "ages" in this light, they begin to make sense. If one became the head of a tribal generation, 20 "years" were added to his "age." If one became patriarch of a people, 40 "years" were added to his age. Patriarch of 3 peoples (e.g., Egyptian Pharaonic Prince, Sinaitic eiꞋrëv rav ã•vᵊr•uꞋ and, ultimately, the Israeli people ready and poised to recover their lands that had been occupied during their corvée in Egypt), 3 x 40, and so on. The ancient corollary of today's doctors, MBAs, professors, CEOs, billionaires, parliamentarians, etc. seems to have been power and status expressed in honorary age.
Chronological age in solar years as we know it, seems to have been inconsequential. Birthdays are unheard of. The ancients were more savvy in this respect (the key word) than moderns. Some people develop 10-20 years of experience while others repeat one years experience 10-20 times. Some people achieve amazing things despite dying prematurely at a young age. Others may live a century or more and accomplish nothing enduring. Accomplishments — not self-absorbed years taking up space, devouring earth's resources and processing food — matter. It appears that the ancients, while not as scientifically advanced, were no less intelligent than we are. Perhaps more deeply and penetratingly, they apparently recognized individuals by their "years" of "venerability", not their chronological years.
The empty, but endless-circle design, of zero is often understood to designate "from-infinity," and, in all modern mathematical systems, demarcates magnitude (twos from fours from eights, etc. in the binary system; tens from hundreds from thousands, etc. in the decimal system; eights from 16s from 32s, etc. in the octal system; 16s from 32s from 64s in the hexadecimal system, etc.). In ancient math (Hebrew for example), however, there was no character to represent nothing. It was simply nothing, ancient infinity, not there. Notice, for example, how Roman numerals function with no zero.
The Singularity Point – The ancient development of systems of elementary mathematics began with noticing the difference between 1 (the Monad, i.e. Singularity) and nothing, which is significantly different from zero . Singularity is defined as the singular metaphysical entity from which material properties are said to derive, the antonym of nothing. In other words, 1 was perceived as the product of the Creator (or the gods among Egyptians, Babylonians, etc.); from which everything else derives. Something either existed or didn’t exist. It was there, or it wasn’t. Consider the Shᵊm•aꞋ.
While the similarities to modern angelology may (and should) be unsettling to modern "Judaic-based" religions, even the ancient Egyptian, Persian, Greek and Roman pantheons recognized that their origin had to derive from a Singularity. Therefore, according to this reasoning, everything in the universe derives from the mathematical operations performed on the Singularity = 1. That’s a rudimentary way of stating that everything in the universe can be expressed in mathematical terms. Except for the level of sophistication in today’s mathematics and physics, the ancient perspective was not so different from modern physicists and cosmologists.
With their naked eyes, the ancients saw only 7 "moving stars" that, since they moved, the ancients assumed each must be a God. Thus, the assigned a day of worship to each – inaugurating a 7-day week that predominated over other systems.
Biggest – by far, most central and most powerful in the ancient's universe, the sun, perceived ruler of day and night, light and dark, was, therefore, viewed by the most ancient theological reasonings as the most powerful, ergo Singularity, God of the universe. As a result, the Sun-God was most highly honored – by being worshiped on the first day of the week: Sun-God-day, today's Sunday (See yom and Sunday).
The Line – The most basic arithmetic operation ancients performed on the Singularity was adding two 1s together, which produced the Binary or Mirror — the first number to recede from the Singularity; i.e., a complementary pair (dyad) of two ones that, together, make two; i.e. Creator (or, among Egyptians, et al., gods) plus mankind, man plus woman, marriage and duality. Thus, the ancients understood the Second as a divergence from the First and, therefore, transgression against the First or Singularity. Two thereby introduced independence, diversity, conflict, dispute — and procreation. Corroborating the theme of procreation, while 1 defines a point, 2 points define a length — two dimensions.
The Triangle – The natural question that then faced the ancients was what does it mean, then, when you put a Binary (or Mirrored image, totaling 2 forms) with a Singularity? In other words, what really happens when you add 02 + 01 = 3? We can already see that meanings became attached to numbers. Further, the number three is widely understood as one of the sacred numbers. While it can be insightful to investigate what the ancients were thinking when they wrote the Bible, meanings that have been lost through the millennia, one must be careful to avoid introducing new post-Biblical meanings prohibited by Tor•ãhꞋ (Dᵊvãr•imꞋ 13.1), like גִּימַטְרִיָּה, קַבָּלָה and, worse, obviously idolatrous quackery (astrology, sorcery, witchcraft, etc.).
Three is associated with the three-dimensions in which our universe exists, as well as its past, present and future. Note that while three is associated with the triangle, the triangle is a two-dimensional representation. Three would be more accurately represented by a three-axis graph; however, this is a modern perspective. One must be careful to reject anachronistic innovations when inquiring into ancient perspectives, at least without noting that it is an introduced concept. Similarly, notions like the Trinity and the three-day wait after placing a body in a tomb before sealing up the tomb permanently are after-the-fact results, retroactively associated with the meanings of three rather than contributory factors giving three its meaning. To the ancients, three, like the Singularity, comprising all subsequent numbers (3+1=4, 3+2=5, 3+3=6; then, combining with previously derived numbers, 3+4=7, 3+5=8, 3+6=9, followed by 3+9 = 3*4=12, etc.), was strongly sacred. Special meaning is encrypted in the three Priestly Blessings and the thrice recited "קָדוֹשׁ, קָדוֹשׁ, קָדוֹשׁ"; and this is directly related to the three divisions of the Beit ha-Mi•qᵊdãshꞋ – illustrating the means of communicating with the Singularity.
The Square – The ancients continued their methodology of combining attributes of previously investigated numbers to produce new attributes for new numbers. What does one get when combining the One (Singularity) with three (dimensions)? Answer: the universe. The ancient perceptioin, however, was the earth, "the four winds". The rest of the universe was seen as kind of an umbrella that was merely peripheral to the earth. Thus, while we are accustomed to four directions as a result, we might otherwise be thinking in terms of "the three directions" or "the six directions". (Five was more difficult to divide into a 360 degree circle using geometry). There were four rivers issuing from Gan EiꞋdën representing the entirety of the earth and four qᵊrãn•ōtꞋ on the Mi•zᵊbeiꞋakh, representing the entirety (4 directions) of ËrꞋëtz Yi•sᵊrã•eilꞋ through all time. Similarly, there are four seasons, although the year could have been simply divided into two seasons: cold and hot. Whereas three was associated with the triangle and third dimension, four was associated with the square.
Combining all of these attributes, 1+2+3+4 =10, produced the tetraktys (two of which, interlocked, form the Mã•geinꞋ Dã•widꞋ in Pã•rãsh•atꞋ bᵊ-Mi•dᵊbarꞋ ).
There are two (Binary or Mirror = complementary) ways to form five: 1 + 4 or 2 + 3. Whenever there is more than one way to arrive at a number, there are corresponding variations in possible meanings associated with the resulting number. The primary meaning is then derived by reducing the combinations to a common theme. The sum of 1 + 4 combines the One, Singularity, with the four dimensions of the earth/universe. Five, then, represented the relationship, and distinction, of the earth and earth-systems (governments, etc.) subject to, or in rebellion against, the One (or gods, among idolaters). Alternately, 2 + 3 equates to Binary, Mirror — or marriage, plus the sacred 03 that gives rise to all subsequent things. Thus, five also represented the Binary, Mirror or marriage (alternately convergence) of the Singularity with mankind; which brings in the essential provisions and processes of תּוֹרָה, ki•purꞋ, and the Mã•shiꞋakh. (The Mã•shiꞋakh heralded the convergence of the heaven and earth, the Creator-Singularity with mankind, through ki•purꞋ and jᵊul•ãhꞋ .)
There are three (the sacred number from which all subsequent things are produced) combinations of previously derived number-meanings to derive six things characterizing, or constraining, man:
2 + 4 = the Binary combined with the earth defining man and his environment,
1 + 5 = the Singularity and redemption defining the potential of man, and
2 * 3 = the Binary, doubling or mirroring, of the three dimensions to define the six spatial-vectored orientation (up, down, left, right, front, back) of man, the six wings of the kᵊrūv•imꞋ and sᵊrãph•imꞋ that constrain all of man's six-vectored orientation, and recognition of man's submission being symbolized in self-constraint to the physical (six-vectored) orientation of six work days.
All of these represent the sixth day (see yom) in which the creation of man and his universe were completed; the six working days of the week (in which man should emulate the Example of our Creator-Singularity in stopping our work – symbology clearly figured out by the ancients).
The 6th day of the week is named after the Old English Frīġedæġ meaning the "day of Frige" or "Frie day" (corrupted to "Friday") – the Old English name of the goddess the Hellenist Romans called Venus and the Hellenist Greeks before them called Aphrodite — and the pre-Islamic Arabs before them called by the name Al-ilat (Herodotus, Histories III.38). According to Kitab al-Asnam (the Book of Idols) by Hisham b. al-Kalbi, the pre-Islamic Arabs believed Al-ilat, which later evolved into Al-lah (similar to ël•oh•imꞋ in Hebrew), resided in the Kaaba in Mecca and had a stone idol of Al-ilat in the sanctuary. Thus, the Kaaba in Mecca is, in historical fact, an idolatrous temple of Al-ilat = Allah, which the Arabs used to circumambulate – NOT a "mosque" built by Av•rã•hãmꞋ, who was never even in that region.
Like many other ancient peoples, descendants of Yi•shᵊm•ã•eilꞋ and Ei•sauꞋ-Εd•omꞋ (namely, Arabs) worshiped and prayed to the goddess of fertility, Al-ilat. It then comes into focus that the Displacement Theology of Muhammad and Arabs, Islam, sanctifies the day of their native goddess Al-ilat (aka Aphrodite, aka Venus, aka "Fri)-day, the sixth day of the week – displacing Sha•bãtꞋ, in the same way that the Christian Displacement Theology sanctifies the day of their native Sun god (Mithra)-day, the first day of the week displacing Sha•bãtꞋ. For photos and further details, see also yom and Pã•rãsh•atꞋ Ki Tei•tzeiꞋ.
One of the meanings of the number 7 may be derived by noting that 7 comprises numerological significances of 4 + 3.
The ancients were aware of only 7 visible celestial entities whose paths deviated from the constellations and other stars. They thus assumed them to be earth-centric gods, roaming the heavens and ruling — in perfection — over earthly systems. The mission of Divine oversight of human affairs was superstitiously misassociated with these "seven Ein•eiꞋ" י‑‑ה. Each celestial-god was honored with a given day. In virtually every language — except Hebrew (!) — idolaters continue to call the days of the week after these luminary planet-gods: the Sun [day], Moon [day], Mars (later Norse Tiw's [day]), Mercury (later Norse Odin's [day]), Jupiter (later Norse Thor's [day]), Venus (later Norse Frie [day]), & Saturn [day] (see also Yōm 1-7).
These seven moving celestial lights were regarded as the "seven ein•ãꞋyim", which traversed across the entirety of the land.
And it was these same "seven ein•ãꞋyim" that were engraved on the ëvꞋën a•khatꞋ; which was then granted to Yᵊho•shuꞋa, the aforementioned "My servant the TzëmꞋakh"—whom virtually all of the Sages equate to the Mã•shiꞋakh!!!
Accordingly, the Sages similarly identify this ëvꞋën a•khatꞋ with the ëvꞋën "shunned by the builders [of the eternal Mi•qᵊdãshꞋ] which was lᵊrōsh pin•ãhꞋ", in turn identified with the Nã•siꞋ Dã•widꞋ—both identified with the Mã•shiꞋakh. Thus, by conveying the engraving, by י‑‑ה, of these seven ein•ãꞋyim on the ëvꞋën a•khatꞋ, i.e. hã-ëvꞋën hã-rōsh•ãhꞋ, Zᵊkhar•yãhꞋ documents י‑‑ה assigning the number seven as the number of the Mã•shiꞋakh!!!
Thus, too, day seven, שַׁבָּת, equates to the Mã•shiꞋakh!!!
Additionally, there were only seven basic colors in the visible spectrum. (The oft-cited seven note musical scale wasn’t native to, or known in, the ancient Middle East.) The seven lamps on the Mᵊnor•ãhꞋ, in addition to representing perfection, represent the necessity of the Light of Torah on all seven days of the week – culminating in the seventh day שַׁבָּת.
In addition to the combinations that form the number seven, seven is a prime number and has some special characteristics that combined to give it special significance as the perfect number:
As the ancients progressed in their understanding of mathematics, they discovered that the Singularity encrypted the sacred number of eternity, 142857, as a function of the sacred perfect prime number: seven.
Divide the Singularity by 7 and you discover an infinite series of a recurring number: 142857. Add infinities for eternity and you arrive will always arrive at the same number. (Example: divide 1,000,000 by 7, then 1,000,000,000 by 7, etc.).
Multiply the sacred number of eternity by any integer less than seven and it yields the same six (note the significance of six!) integers in the same order:
When the multiplier reaches the perfect number, seven, however, returns all infinity and eternity (i.e. 1,000,000 ), everything derived before — less the Singularity, upon which everything must be based!
Knowledge of, and respect for, numerology is also evident in the ancient Game of Avᵊrã•hãmꞋ (i.e. sold under the modern name, "Royal Game of Ur"). The game utilized 3 dice, each dye being a tetrahedron consisting of 4 triangles — comprising the perfect #7!!!
Following the perfect number, reintroducing (i.e. +) the Singularity produced 8, representing a reset; a new cycle, a new beginning, a renewal. Thus, the consecration of the Beit ha-Mi•qᵊdãshꞋ and the Bᵊrit Mil•ãhꞋ occur on the eighth day.
Aside from combinations previously explained, nine comprises 03 * 03, the three dimensions, representing the universe replicated — mirrored — by another (not physical) meta-universe — the physical universe being only a mirror of the eternal non-physical, or spiritual, universe: i.e., resurrection and afterlife.
Besides the corroboration of nine months being the full term of human pregnancy, the theme of rebirth, inextricably interwoven with resurrection and afterlife, is corroborated in the characteristic of nine that, when multiplied by any other number, reproduces itself:
The asymmetry of the number nine implied to the ancients the asymmetry between a facet of the temporalness of the present {three dimensions} of the physical universe, a facet of the eternalness of the {Singularity coupled with the duality of the mirrored non-physical (i.e. spiritual) universe} and a facet of the {man + woman rã new generation} triad (or {past, present, future} and other combinations of triads); combined to form a 3x3x3 3D tetrahedron, describing the world to come: the resurrection and afterlife.
Intriguingly, it is 9 * 10 that describe the degrees of a quadrant, in turn multiplied by the four directions, that yields a 360° encirclement — a zero — ancient symbol of infinity. Also intriguingly, each die in the ancient Game of Avᵊrã•hãmꞋ (i.e. Royal Game of Ur) is a tetrahedron! (They knew! )
For an explanation of the number ten, and the tetraktys (10 points arranged like bowling pins reflecting the encampment pattern of ancient Yi•sᵊr•ã•eilꞋ), the symbolism underpinning the A•sërꞋët ha-Di•bᵊr•otꞋ and the mi•nᵊyãnꞋ, see my Pã•rãsh•atꞋ bᵊ-Mi•dᵊbarꞋ (click the "Beit K'nesset" icon in the navigation panel at left, then the SeiphꞋër Tor•ãhꞋ at the top right, which will teleport you to the pã•rãsh•ãhꞋ table where you can select bᵊ-Mi•dᵊbarꞋ, then select the Tor•ãhꞋ commentary for 5756).
See the explanation of the Mã•geinꞋ Dã•widꞋ in Pã•rãsh•atꞋ bᵊ-Mi•dᵊbarꞋ. This is the symbolism underlying 12 months and the ancient division of the celestial sphere into 12 sections (which astrologers and other quacks misuse and abuse in their occult practices).
The Mã•geinꞋ Dã•widꞋ (see explanation in Pã•rãsh•atꞋ bᵊ-Mi•dᵊbarꞋ) with the Mi•shᵊkãnꞋ, representing the Singularity, in the center.
04 * 10 years represented a generation of tetraktys (Yi•sᵊr•ã•eilꞋ), which could be symbolized by 40 days or 40 lashes of the whip; an uncertain long time > 20 years < an eon (= 70).
7 * 10; i.e., 7 tetraktys. (equated to 7 mi•nᵊyãnꞋ — which inspired the Apostate Paul to found 7 — the first Christian churches/congregations — in Turkey). 70 also "represented the cosmos and macrocosmos" or eons. In Egypt, 70 was associated with darkness.
One's lifespan or lifetime (cf. bᵊReish•itꞋ 6.3; Dᵊvãr•imꞋ 31.2; 34.7) is represented in Biblical numerology by combining man (6) and 2, a (time)line, subtotaling (12 * 10.
By extension, 120 refers to an evaluation equivalent to a "lifetime" of experience, observation, work or achievement: e.g. most tzōn sacrificed at one event ever seen in a lifetime, soldiers slain in one battle ever seen in a lifetime, treasure of a lifetime in bars of gold, number of sons & grandsons, trumpet-players ever seen, cubits of height ever seen during lifetime, etc.
04 * 10 years (a generation) * 10; i.e. 10 generations of the tetraktys.