The ancients used the same symbols for both
numerals and words, and so each word form in Paleo-Hebrew can
also be read as a mathematical expression. The numerical value
of a Hebrew word is its gematria, and word forms sharing the
same numerical value also have correlations in meaning. The letter
arrangement and meaning of words having the same value can be
considered as octaves of the numerical expression.
This system was discarded, eventually, as
numbers became utilized more in commerce. Roman numerals were
an invention to deal with the increased use of numbers, but the
Roman system was not useful with regards to mathematics; and
so it gave way to the Indo-Arabian numerals, which are universally
in use today. The number symbols we now use answer to the logic
discovered by the ancients: like the alphabets of mankind, modern
numerals are fruit of the Tree of Life.
The numerological values of words is based
on logic that differs from the logic of gematria: the number
of each letter is derived purely from its sequential position
in the parent alphabet. Remarkably, however, there is a perfect
harmony between the two systems of numbering, as demonstrated
in the second table. Not all alphabets have gematria, but all
share numerology. The essence of the mathematical dimensions
of the original alefbet and its Greek successor are therefore
preserved in the numerology of the Latinate alphabets.