1 | What is a maxim of common sense and logic possessed by our ancestors that remains irrefutable even today? |
2 | It is that the universe may be expressed in unique arrangements of Numbers. |
3 | As we have already discussed, Numbers are certain symbols belonging to a language that enables us to count, to label and measure objects and concepts. |
4 | In fact, Numbers are the purest symbols of meaning. Take away the meaning of a number and you have nothing. |
5 | Numbers also have certain natural properties and abilities when attributing meaning, superior to other forms of symbology and language. |
6 | Numbers are the superior form of meaning for describing Existence; and |
7 | Numbers are the superior form of meaning for describing Quantity; and |
8 | Numbers are the superior form of meaning for describing Relative Position and Relations between other Objects or Concepts; and |
9 | Numbers are the superior form of meaning for describing Relative Motion and Change between Objects or Concepts and themselves; and |
10 | Numbers are the superior form of meaning for describing Relative Uniqueness. |
11 | Thus Numbers are an indispensable gift for making sense not only of the world around us, but ourselves and our journey through the world. |
12 | The meaning of One, even though such symbols have changed over time, is as old as civilization itself. |
13 | The meaning of Two, carries deep historic, social and spiritual meaning for humanity and our species. |
14 | This is not attributing aspects to Numbers that do not exist, but undeniable fact as to the power of Numbers. |
15 | Thus, the wisest of every generation have recognized that Numbers possess a powerful and unique place in our lives and conscious awareness. |
16 | At the dawn of the earliest civilizations, philosophers discovered that wherever and whenever Numbers are applied as a means of describing existence or the Universe, there exists certain relations and patterns. |
17 | In the relation of all objects and concepts, the description of any set can be described as 1; and |
18 | In the reproduction of higher order species, the division of male and female meant the need for 2 in order to create at least 1 new life form; and |
19 | In the description of relation, measure and geometry, the number 3 is predominant; and |
20 | In the reflection of the highest concepts of truth and existence, the Numbers 0 and 1 describe the Paradox that nothing can be proven to be perfectly true. |
21 | To trivialize and to belittle the significance of Numbers then is the height of ignorance and stupidity. |
22 | For Numbers are at the heart of Science and therefore Sacred Science (Scientia Sacra). |
23 | Indeed, to prove or disprove the existence of the Divine and the nature of Divine Mind, one must comprehend Numbers and their relations. |
24 | Why then would the study of Numbers themselves and the natural relations between them be so discredited by some people and groups? |
25 | What possible motive and agenda could exist to try and cause confusion and ignorance as to the fundamental principles of Numbers? |
26 | The argument that the repudiation of the study of Numbers on their own is a positive evolution of the knowledge of Mathematics is an absurd and false misrepresentation. |
27 | Those finest of minds that discovered the very framework of geometry that served the world for more than two thousand years placed the knowledge of numbers as central to their respect of the universe. |
28 | Hundreds of the greatest philosophers and mathematicians have proven the undeniable and irrefutable fact that the Paradox is at the heart of any formula or axiom, |
29 | Yet revisions to sciences since the 19th Century have firmly rejected the notion of Paradox and uncertainty and since created a pseudo form of mathematics. |
30 | Mathematics has become obsessed in procedure rather than deeper knowledge and nowhere is this more explicit than in the disrespect shown to Numbers. |
31 | So arrogant has certain sections of pseudo science become in their use of a two dimensional language to describe a three dimensional existence (four if you include time), |
32 | That the defense against criticism has been increasing complexity in formula and axioms in complete contradiction to the elegance and simplicity of natural axioms embedded and hidden within the workings of Calculus and the greatest discoveries of history. |
33 | Despite the fact that nature has proven over and over again that complex systems resolve themselves to simple results, whereas simple systems produce massively complex opportunities, |
34 | The existence of nonsensical, confusing and false assertions within Mathematics itself concerning Numbers, contributes to a level of mental illness and false conclusions within Science that continues to injure the advancement of genuine knowledge. |
35 | It therefore leaves us with the need to consider an alternative approach in discussing Numbers so as not to suffer the corruptions and embedded bias and gross errors now littering modern pseudo sciences. |
36 | To this end, we define our investigation of Numbers as the science of Numerology, |
37 | With the word etymology derived from the Ancient Latin words numero meaning “count, enumerate, reckon and esteem” and logica meaning “logic”. |
38 | Then within the context of Numerology we recognize the language of Eikos of Ucadia and the wisdom of past generations as to Numbers. |
39 | Let us therefore express those irrefutable and undeniable conclusions of fact concerning Numbers through Eikos so that there can be no doubt: |
40 | All Numbers are both unique concepts and objects in themselves; and |
41 | All Numbers may be represented symbolically; and |
42 | All Numbers are real by virtue of their own existence; and |
43 | All Numbers represent reality to some degree; and |
44 | The degree of reality of a Number is dependent upon the degree to which the Number represents real world objects or concepts; and |
45 | All Numbers may be defined as a single Set; and |
46 | All Numbers excluding 0 are members of a Set of 1 called the UniSet; and |
47 | The pure concept of nothing may be represented by the valid Number 0; and |
48 | As nothing can exist in reality, the Number 0 can only be used to describe theoretical impressions of reality, never reality itself. Thus all forms of nothing and 0 are fictional; and |
49 | As nothing can be deducted from nothing, there is no valid Number conceptually or in reality less than 0; and |
50 | As nothing is both a concept and a valid Number as 0, it can be recognized as something “in theory” and attributed the value 1. However, in reality nothing can come from nothing; and |
51 | As the concept of subtraction infers the process of deducting one or more values from something, the concept of deducting something from nothing is an absurdity and contrary to the laws of the Universe and Existence; and |
52 | As it is an absurdity and contrary to the laws of the Universe and Existence to conceive the notion of something less than nothing “in theory” or “in reality”, negative numbers cannot exist either in theory or in reality; and |
53 | As it is an absurdity and contrary to the laws of the Universe and Existence to conceive the notion of something less than nothing “in theory” or “in reality”, negative numbers cannot exist either in theory or in reality; and |
54 | All Numbers of the UniSet may be expressed as existing between the Prime Numbers of 0 and 1 by some degree or multiple (ratio); and |
55 | As All valid Numbers may be defined as some degree or multiple (ratio) between 0 and 1, all valid Numbers may be said to be inherited from 0 and 1; and |
56 | Any number expressed as less than 0 is either an incorrectly defined degree or multiple (ratio) or a falsity and absurdity; and |
57 | 1 is a UniSet and a member of itself; and |
58 | 0 is a member of itself and is only a member of the UniSet in theory; and |
59 | If one member of the UniSet ceased to exist, the total set being UniSet would cease to exist; and |
60 | The existence of UniSet is therefore dependent on the existence of each individual member of the UniSet for itself to exist; and |
61 | All Numbers within the UniSet may then be defined at the highest level as either Perfect or Imperfect; and |
62 | A Perfect Number is any whole positive number that is not a ratio but can be expressed as a ratio of itself or other positive numbers; and |
63 | An Imperfect Number is any positive number that is a ratio but cannot be expressed as a whole positive number; and |
64 | All Perfect and Imperfect Numbers may be defined as either Unique, or Similar or Theoretical; and |
65 | Unique Perfect Numbers– can represent uniquely real objects (e.g.1, 3, 5, 7, 9, 11 etc.) and are found most commonly in the unique measurement of real objects; and |
66 | Similar Perfect Numbers – can only represent collective real objects (e.g. 2, 4, 6 etc.) and are found most commonly as sets of real world objects; and |
67 | Theoretical Perfect Numbers – cannot represent real objects (e.g. infinity); and |
68 | Perfect Numbers are equivalent in part to integers in mathematics as the term incorporates the set of positive numbers. However, as integers may also contain negative numbers, the term Integer is never permitted within Eikos Language System; and |
69 | Unique Imperfect Numbers– represent uniquely real ratios (e.g. pi, e); and |
70 | Similar Imperfect Numbers – can only represent collective real ratios (e.g. 0.5, 1.2, 180º); and |
71 | Theoretical Imperfect Numbers – cannot represent real ratios or real objects (e.g. 0); and |
72 | Imperfect Numbers are equivalent in part to integers in mathematics as the term incorporates the set of numbers. However, as integers may also contain natural numbers, the term Integer is never permitted within Eikos Language System; and |
73 | A Unique Perfect Number is divisible only by itself and 1; and |
74 | The simplest Perfect Number is 1; and |
75 | The largest Perfect Number is infinity also expressed as 1; and |
76 | The total set of all Perfect Numbers is less than the UniSet (sum of all Number) and is ultimately derived from the simplest Perfect Number being 1; and |
77 | Existence is a Theoretical Perfect Number tending toward a Unique Perfect Number; and |
78 | Unique Perfect Numbers exist within the UniSet as a perfect pattern of randomness called the Prime (itself an Unique Imperfect Number); and |
79 | The Prime may be defined as unique pattern of existence of Unique Perfect Numbers and Similar Perfect Numbers within the UniSet related to a multiple ratio of the simplest synergetic number 6; and |
80 | A Similar Perfect Number is a number that can only be expressed as a ratio of itself as a collective of Perfect Unique Numbers; and |
81 | A Similar Perfect Number is divisible by itself, Unique Perfect Numbers, Similar Perfect Numbers and 1; and |
82 | The simplest Similar Perfect Number is 2; and |
83 | The largest Perfect Similar Number is one less than infinity; and |
84 | All Similar Perfect Number greater than two (2) may be defined as the Sum of two (2) Perfect Unique Numbers; and |
85 | Existence is the interaction of Unique Perfect Numbers and Similar Perfect Numbers tending toward a Unique Perfect Number; and |
86 | Similar Perfect Numbers may be defined as Synergetic. Synergetic Numbers are numbers equal to the sum of all their possible divisors except itself. The smallest Synergetic numbers are 6, 28, 496 and 8128; and |
87 | Similar Perfect Numbers may be defined as Sympathetic. Sympathetic Numbers are two numbers where each is the sum of all the possible divisors of the other. The smallest Sympathetic pairs are (220, 284), (1184,1210) and (17,296 18,416); and |
88 | A Similar Perfect Number is divisible by two (2) if the last digit is even. A Similar Perfect Number is divisible by three (3) if the Sum of its digits is divisible by 3; and |
89 | A Similar Perfect Number is divisible by four (4) if the last two digits are divisible by 4. A Similar Perfect Number is divisible by five (5) if it ends in 5 or 0; and |
90 | A Similar Perfect Number is divisible by six (6) if the number is divisible by 2 as well as 3. A Similar Perfect Number is divisible by eight (8) if the SUM of its last three digits is divisible by 8; and |
91 | A Similar Perfect Number is divisible by nine (9) if the SUM of its last three digits is divisible by 9. A Similar Perfect Number is divisible by ten (10) if it ends in zero; and |
92 | A Similar Perfect Number is divisible by twelve (12) if the number is divisible by 3 as well as 4; and |
93 | A Theoretical Perfect Number is a number that cannot express a real object but can be defined as a ratio of itself and other positive numbers such as Infinity; and |
94 | A Theoretical Perfect Number cannot be a uniquely expressed ratio, as this is the proper classification of a Unique Imperfect Number; and |
95 | A Unique Imperfect Number is a number that represents real ratios but can only be expressed as a ratio of itself uniquely; and |
96 | A Unique Imperfect Number is divisible only by itself and 1; and |
97 | All Unique Imperfect Numbers may be defined as Decimals. All Unique Imperfect Number Decimals will always have an Infinite number of Decimal points; and |
98 | The most perfect Unique Imperfect Number is Pi; and |
99 | Existence is a Unique Imperfect Number; and |
100 | A Similar Imperfect Number is a number that can only be expressed as a collection of real ratios; and |
101 | A Similar Imperfect Number is divisible by itself, or Unique Perfect Numbers, or Similar Perfect Numbers and 1; and |
102 | All Similar Imperfect Numbers may be defined as a Fraction or a Decimal. All Fractions may be converted to a Decimal or vice versa; and |
103 | All Similar Imperfect Number Decimals will always have a finite number of Decimal points; and |
104 | A Theoretical Imperfect Number is a number that cannot be expressed as a real object nor be defined as a ratio of itself such as the number zero (0); and |
105 | Infinity is both a unique Number and a set; and |
106 | Infinity equals the UniSet less 1; and |
107 | All Numbers may be described in sets of degrees of Infinity; and |
108 | As Existence depends upon Infinity + 1, the Number continues to grow at a predictable Rate; and |
109 | Infinity is the Boundary Number of all Real Numbers. Only the UniSet in theory (thus including the number zero (0) in the form of 1) is greater; and |
110 | A Motion Set is any set expressed by its dimension and some kind of active motion of its Elements; and |
111 | There are only two (2) main kinds of Motion Sets, Growth and Decay; and |
112 | A Simple Growth Set denotes the statement - "the sum Set of all elements of type [a] by Addition as the Number of the Set [t] increases by 1 as the value of type [a] elements increase from value [x] to [z] by method [c]"; and |
113 | A Simple Exponential Growth Set denotes the statement - "the sum Set of all elements of type [a] by Multiplication as the Number of the Set [t] increases by 1 as the value of type [a] elements increase from value [x] to [z] by method [c]"; and |
114 | A Simple Decay Set denotes the statement - "the sum Set of all elements of type [a] by Subtraction as the Number of the Set [t] increases by 1 as the value of type [a] elements decrease from value [x] to [z] by method [c]"; and |
115 | A Simple Exponential Decay Set denotes the statement - "the sum Set of all elements of type [a] by Division as the Number of the Set [t] increases by 1as the value of type [a] elements decrease from value [x] to [z] by method [c]". |
116 | Thus in revisiting the knowledge of our ancestors, we can see the power of the knowledge of Numbers in helping us better comprehend the Universe itself. |
117 | Thus in revisiting the knowledge of our ancestors, we can see the power of the knowledge of Numbers in helping us better comprehend the Universe itself. |
118 | There is nothing mystical or occult or paranormal or subjective about this knowledge of Numbers described as Numerology and Eikos. |
119 | In contrast, it highlights the undeniable fact and evidence that it is modern mathematics that has fallen into a pseudo-science of occult, absurdity, mythology and mysticism. |
120 | The repudiation of the central paradox behind all things at the simplest of levels is the hallmark of hubris and stupidity of cult-like behavior by such pseudo-science. |
121 | Yet as we have proven with these few simple verses, knowledge of Numbers heralds an extraordinarily powerful insight into not only the existence of the Universe, but evidence of the nexus between the real and the unreal, the fictional and factual, the Dream and the Dreamer. |
122 | Let us continue then our journey of Sacred Science then with new found confidence and respect of true scientific knowledge as expressed through Summa Elementis Theologica. |