Various positional systems of abbreviating the expression of numbers are possible, binary being the simplest, including octal, decimal, and hexadecimal to name some in conventional use. The base of the quinary system so expressed, which may be called ideo-quinary , is as always the second numeral followed by the first, grouped in succession without a space or other punctuation mark, as in 10, thus, lu . There follows ll, lm, la, le, mu, ml, mm, ma, me, au, al, am, aa, ae, eu, el, em, ea, ee, lu, lul, lum, lua, lue, llu, lll, llm, lla, lle, lmu, lml, and so forth. These numeral expressions relate to each other as sums and products just as do any kind of expressions of numbers. All other products of both m and a are also products of ll.
Every number also participates in sums, as an addend or augend.
So do the terms which are represented by the numeral figures, and the result is a logical system of the basic universal concepts. It is already present in the relations by which being and nothingness were extended to form the basic successors, mind, art, expression and understanding , as those are sums and products of lower terms. The relation to smaller terms becomes more complex, for subsequent terms, as the system grows. Only on final analysis does it become revealed to require a certain few constituents before it, and give rise to certain sums and products. But this final analysis can be prepared for, and made easy, and a continuous effort, to be done for many at once and starting from zero, by deliberate, orderly construction, of each of the terms in progression.