Idea for a number system that is just proportions of Φ as a scale-factor, without the notion of beginning or end

In general, meme pools have positive selection on memes that are adjacent to the root world view, ideas "bend" in a sense, to fit within the context they are growing in. The lowest common denominator to an idea tends to be a limitation, that originates from a bias, and spread simply because lowest common denominators have social value, and undergo positive selection for social reasons, inclusive fitness (i.e. benefits society at large). If the doors of perception were cleansed, as Jason Silva said Aldous Huxley said, every thing would appear as it is, infinite.

In the Fibonacci series, Φ fails to approximate the growth as it approaches 1, and approximates the growth increasingly with higher numbers, 6765 (F20) / 4181 (F19) is 1.61803396, 55 (F10) / 34 (F9) is 1.61764706, and 3 (F4) / 2 (F3) is 1.5.

With a number system ∞ that extends infinitely, and is self-referential, and with phi defined as that the ratio of two quantities is the same as the ratio of their sum to the larger of the two quantities,

n + Φn - 1) / Φn = Φn / Φn - 1,

the scale-increase of *Φ becomes perfect.

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