Meta-number

A meta-number is an object like a number – in that it appears to be the answer to an equation or geometric problem – but goes beyond the confines of our universe and is unrealizable. This area of mathematics is severely under-researched, and we do not yet have the beginnings of an outline. The situation is analagous to that of astronomy several hundred years ago, where everything in the sky was called a 'star', and the modern separation of planets, star, galaxies, and even larger objects was not yet understood. Current vocabulary by Set Theoretical mathematicians include


 * Normal numbers : numbers for which the distribution of all conceivable patterns are equally distributed
 * Computable numbers : numbers for which there exists an algorithm for generating more digits of the numbers
 * transcendental numbers : numbers which can only be produced by infinite processes
 * algebraic numbers : numbers which are the solutions to finite polynomial equations
 * constructable numbers: numbers which the Greek would've recognized as able to be produced with ruler and compass only
 * infinite series : numbers which are the sums of ever decreasing amounts, so they approach an ever-narrowing range