Numbers and Meanings
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The Meaning of Meaning
The Meaning of the First Triad
The Meaning of the Four Elements
The Meaning of the Digits
The Meaning of the Phonemes
Synoptic Table of Meanings
Now to discover what the digits mean, from that deduce the meanings of the letters or phonemes, and from those to try to build a mathetical language which will be a true mirror of described events. Vague meanings of the digits have been presented before, but these need to be clarified and made definite The Generation of Digits is extremely important because without it there is nothing to distinguish one digit from another except by the size or quantity involved. The digits are varied alloys of monad and dyad, and this gives the key to their significances.
The method will be to find the qualities and characteristics of the first triad of 0, 1, and 2. These will be used to develop meanings for the four elements of Air, Fire, Water, and Earth. From these, the qualities associated with the rest of the digits are found. Finally, at the base of the pyramid of qualitative analyses are the qualities of the phonemes. These are all fully explained. The phonemic meanings forms the basic elements of the projected mathetical language's vocabulary. [top]
However, it is important to remember the implications of the task we are trying to accomplish. We are trying to find a qualitative order in numbers to provide a tool for clear thinking about qualities. And mathesis is just a tool and only a tool. When we talk about the meaning of a number, we do not say that this number in actual fact possesses this meaning, but rather - that for our own purposes - we consider the number to be symbol to stand for that meaning. The number, in itself, is a symbol; we agree to what the symbol is to mean. And the reason that we agree to this is that we can see that numbers are interrelated in a fashion very similar to other things in which we are more interested.
Numbers serve the same purpose as a road map: they provide an easily handled representation of something else that is extremely bulky and hard to handle. A good map is a representation adequate for our purposes; a mathematical theory is an explanation that is adequate for our purposes. But to confuse the map with the thing mapped is the grossest superstition. So it is that numbers do not really possess qualities. But numbers are related to each other in the same way qualities are related to each other. So, with care, we can think of them as being the same things. But that can really be quite mentally dangerous unless we clearly realize that "is" means "is similar to."
Human learning, indeed, is just a collection of maps. Some of these maps are old, smudged, and hardly legible any more. Some of them are as new as new can be, but don't map very much of the cosmos at all. Some maps disagree with others; and some maps have information that other maps deny utterly. These maps are in all different scales, cover different areas, and some areas are not covered at all.
Scholars spend their lives trying to devise new and more accurate maps that might include more area or be a better representation of a smaller area. Only an extremely small part of a scholar's or scientist's effort is spent in truly examining the cosmos; most of it is spent in examining the maps he and his predecessors have drawn.
Meaning is more than being. An object, so to speak, which means something has latent within it the potential of meanings further things. An object which is something is fully categorized, classified, and inert to further potentials. But number are not inert but autonomous entities which contain something more than just quantities or qualities, according to C. G. Jung. Numbers can be used to mean quantities; they can be used to mean qualities; but they can not be said to be either quantities or qualities. Perhaps, could we attain to the World of Ideas, we could say numbers are. But until then, we can only say what they mean. [top]
Zero is equivalent in quality to the Chaos or Ultimate Void. This does not mean that the Void is nothingness, blank, empty, and inert. The Void is a most dynamic process which takes place beyond our understanding. Seers and mystics are able to pierce the veil into the nature of the Void. They report that the Void can be described as ineffable, sublime, and the source of the continuing creation of the world. But, for us, the Void, or Chaos, remains unknown and unknowable.
Out of the original, fathomless Void appear the two creative categories from which the rest of qualities flow. These are symbolized by the mathetical monad (=1) and the dyad (=2). These form the basic creative pair of complementary polarities, and from these are derived the rest of the digits. The monad is the type of energy, vitality, and ceaseless beginning of activity. The dyad, on the other hand, is the passive or formative polarity. A concrete picture of this formative principle would be that of boundless, empty space and time. The active principle would resemble the spirit of God brooding over this passive abyss before creation.
The 0, 1, and 2, then, form the basic set of classifications upon which the rest are founded. The ideas in this basic trinity are vast and fa-reaching, though rather abstract and difficult to describe completely in words. The myths of the world have presented the same ideas in humanized form. From the unknown Chaos appear the first-born Uranos and Ge, in the Greek myths. The Chinese of old hypothesized the Active and Passive as the offspring of the ever-nourishing Tao. Myths are also an attempt to express the qualitative orderedness of the cosmos. [top]
From the first pair of complementary digits spring the system of the Four Elements. This contains two pairs of complements, but the members of one pair are interrelated with the other pair to produce a much richer and more complete system of categories. The fifth element or Quintessence is the same as the Void or Chaos. The element Air corresponds to the monad or active principle; the Water element corresponds to the passive dyad.
Between Air and Water there is the element of Fire. This element is heavier than Air, but lighter than Water. It shares both the active and passive principles because it is formed from the admixture of them. The fiery element signifies the principle or classification of mind. This means the mind-likeness, order, and observed regularity in the cosmos. This order of natural law is properly called mind or understanding. By cogitating on the experience of his senses, the thinker arrives at an understanding of the natural law in the universe. The Manifesting classification of the Hopi is identical to the mathetical element of Fire.
The element of Earth is from the passive principle. It represents, or means, matter in all its various manifestations. The most basic properties of matter are that it occupies space and endures in time. Physicists have postulated that matter is a condensed form of space-time and that the release of atomic energy is matter relaxing back into the primordial space-time.
These analogies or meanings of the elements are summarized in a short table.
|Quintessence||Void, the origin of all things (not really an element, but the source of elements)|
|Air||active, causative energy|
|Fire||mind, natural law|
|Water||passive field of existence|
These four symbols constitute a system of classification which applies to many different fields of thought. The essential relationship in this four-way classification is that it provides two separate pairs of complementaries which are reconciled in the same center. These elements can be placed on the corners of a square or on the ends of an equilateral cross to demonstrate visually how the complementaries balance each other and form one whole. [top]
The Four Elements are further subdivided to provide the nine digits which form the numerical classifications. One and Two give rise to the seven descendent digits by entering into various combinations according to the Generation of Digits. This Bipolar Generation of Digits gives three different pieces of information about each digits - the derivation of the digit from the active and passive principles, the weight of the digits, and the relationships of the digits with the Four Elements. From these data, the following meanings of the digits are derived.
Zero is the source of all things, the infinite, the Void, the unsettled Chaos, the undifferentiated Whole. We can know zero only by its fragmentary parts, so zero appears to be a negative kind of existence to our comprehension.
One stands for the creative energy, the causative source of activity and being.
Two is similar to the passive, formative principle that accepts and embodies the energy of the one to produce the rest of the categories.
Three shows the extension of the energy of one into the form of the two - the self and the not-self together. This calls for life in the most general sense of dynamic change through opposition and denial. It is the synthesis of Hegel's triad of thesis, antithesis, and synthesis.
Four shows the field of life: extension in space and time as opposed to unity in theory and principle. This is the theater of manifest activity and corresponds to the principle of entropy.
Five stands manifest motion, change; hence power, energy, and physical strength.
Six shows the instinctive mind, the subconscious mind, natural law and understanding of natural law as an idea and not a thing made perceptibly visible. The mantic arts such as geomancy or the Yi King; synchronicity in the usage of C. G. Jung.
Seven represents the mind, reason, the process of answer-seeking, wisdom, and intellect. Perception and understanding; conversely, being perceived and being understood. The self-conscious awareness.
Eight is the symbol of solid matter and purely material forces. It is the most manifest part of the Hopi category of the Manifest.
Nine stands for volition, purposiveness, the action of mind in the Manifest, teleology, vitality.
It must be emphasized again that the digits, in this usage, represent the basic creative categories of the cosmos. Ordinary words must be used to imply the content of these categories, but they transcend concrete human experience. Hence, when 8, for example, is defined as matter, remember that it really requires a four digit number to precisely denote such a basic type of matter as oxygen.
These basic categories are not comprised of things, but of modes of being. The difference between a thing and a mode of being is that a thing is (wrongly) thought of as a static object without the dynamic potential of change. A mode of being, on the other hand, indicates a dynamic process manifesting - perhaps momentarily - in an understandable fashion. [top]
The digits are divided into phonemes - the elementary sounds of speech. The correlations between categories and phonemes will provide the basis for an artificial universal language based on the mathematic analysis of classifications and qualities. The list here presents the meanings and ideas associated with the pure vowels and simple consonants. The meanings are listed here by groups of similar sounds, not alphabetically.
X the nasal n 1. the undifferentiated, the Void 2. from this, the general meaning of no, not I pronounced as ee in meet the self, individuality, the Deep Center of Jung O pronounced as in note the other, the not-self E pronounced as a in late life, metabolism, change, activity U pronounced as oo in boot space and time, location, extension A pronounced as a in father the mind, then answer seeking process, personality. The Hawaiian language use A to indicate things which are a person's own achievements and acquired possessions; the O sound, on the other hand, indicates those items and rela- tionships which have been inherited and which belong to a person by his merely existing. R catabolism, the release of energy, as in terror, doer L metabolism, the building up of energy, growth N natural law, regularity, order T subconscious mind, the natural law of the Fire triangle since 3 + 7 + 6 = 16 = T D instinctual mind, that is, the natural chemical and physiological processes of the world since 4 + 5 + 8 + 9 = 26 = D S self directed answer seeking: introspection, imagination, conjecture Z other directed answer seeking: perception K life directed answer seeking: evaluation, feeling, emotions G manifest directed answer seeking: logic, analysis, reason Note: S, Z, K, and G are Jung's four functions or four types mental activities. M material cosmos as a functioning unit of matter and energy P physical power, force B inert matter as shown by the atomic periodic table F life in the manifest, motion V mind in the manifest, volition, will, purposeful behavior
By using the above meanings as building blocks for a language it will be consistent, adequate, and complete because these meanings follow from the mathetical analysis of the undifferentiated Chaos into numerical modes of being. Certainly such a language will be flexible enough to include any ideas from day-to-day living as well as those of specialized fields of knowledge. [top]
On the next few pages is a Synoptic Table of some of the results of mathesis and some symbolically connected ideas. The Table has two uses. First, it provides a quick reference to find a specific result of mathetical analysis. Second, many symbols of an emotional nature are categorized for the psychologist and psychoanalyst. Some of the myths of the world have been analyzed because myths are also a method for trying to find a qualitative order in the cosmos. The search for a qualitative explanation of life has produced the myths and symbol structures.
No extensive discussion is necessary to justify the various symbolical entries and analogies. They are included only to show other qualitative systems. [top]
|1 1/2||Air of Fire||0, 6|
|1 1/2||Fire of Fire||4, 6|
|1 2/3||Water of Fire||3, 7, 9|
|2||--- ---||2||Water||1, 5|
|1 2/3||Air of Earth||2, 8|
|1 3/4||Fire of Earth||4, 6|
|2||Water of Earth||7, 9|
|2||Earth of Earth||5|
|0||octave||X - Nasal n||light||dark gray|
|1||recession||i||achromatic||Whie, yellow, orange|
|3||do||e, y, r, l||gray||gray|
|7||re||a, s, z, k, g||white||white, orange|
|6||mi||n, t, d||black||black, violet|
|8||la||m, p, b||green||green|
|Tatva Shpe||Direction||Time of year||time of week|
|3||triangle||center||middle moon light||Thursday|
|7||diamond||zenith||full moon light||Sunday|
|6||triangle||nadir||dark of moon||Friday|
|Principle in man||physiology||yoga chakras||magic|
|0||the whole||organism||auric egg||cosmos|
|9||mental body||brains, nerves/td>||manipura||salamanders|
|0||true divination||solar system||Chaos|
|3||magic||Jupiter||Jupiter, Jesus, Thor|
|7||philosophy||Sun||Apollo, Christ, Orpheus|
|5||politics, war||Mars||Mars, Jehovah, Tiw|
|9||sociology, psychology||Mercury||Mercury, Woden, Thoth|
|4||mathematics||moon||Artemis, Diana, Hecate|
|8||physics, chemistry||Saturn/td>||Saturn, Ninib|
|Egyptian Decad||Odinic myths||geomancy|
|3||Ra-Atum, Horus||Midgard||acquisitio, letitia|
|7||Nut||Alfheim||fortuna major & minor|
|cabala||Chinese I King||Your Notes|
|0||Ain soph||Great Monadtd>|