Monday, July 21, 2014

Cracking the Pot: Iteration I

In what may appear to be an avaricious attempt to undermine degenerative "crackpot lit" itself, in defense of our aspiring author it may here be exclusively claimed that he first heard mention of this particular subgenre on the nineteenth day (always in and of itself an interesting numeral insofar as how it may pertain to the invention of the word which may be associated with our creation and the subsequent ability to empower us with how to explain it as best we can to ourselves if not future generations) of the seventh month midway through the fifteenth year of the twenty-first century AD. Of course, the numeric symbol nineteen has already been associated with an entire century. Nineteen materializes not merely as a natural number, it also endures as a prime integer. Meaning it remains proudly indivisible by anything other than itself or the character one. Nineteen rates as most often being used for counting and listing things in order of their value. (Any prime digit as an inveterate figure higher than one may only be divided by itself or one.) Other numerals (such as six, for example) are considered "composite numbers" because they have more than one divisor (in the instance of six, two and three in addition to six and one). Innate prime ciphers like nineteen are thought to be possessed of a quality called primality. In his set of thirteen books Elements (published circa 300 BC and set into type for the first time five hundred and thirty-two years ago in Venice, Italy) Euclid established a proof showing that the set of prime numbers must be infinite. Additionally there have been several other proofs establishing the same conclusion. It now goes without saying that infinity exists, at least insofar as Euclid and successors envisioned it as applied to their idiom of mathematics. For modern people of the twenty-first century to understand the significance of this symbolic language it helps to recall the seven fundamental aspects of what today may be regarded as a classical Greek education, which consists of the Trivium (grammar, logic, and rhetoric) as well as the Quadrivium (arithmetic, geometry, music, and astronomy). Knowledge of these seven subjects facilitates our understanding of Euclid's treatise on geometric algebra.