Circumscribing Circumscriptions

I suppose this thread is about putting things, ideas, and people in groups. And putting those groups in groups. It's about drawing bigger circles around groups of smaller circles. It's about the way we organize experience.

Can our system of concepts be illustrated by circles in circles in circles? If so, the circle that includes the rest is totality/god/experience/self, according to taste. I suppose that lines might also be necessary. A dog is an animal. An animal is not a plant. But animals and plants are both life. "Plant" and "animal" belong both in the circle for life as well as the circle for abstractions. Has anyone attempted this? Probably.

(Yes, I'm talking to myself...until someone decides to join me...)

The circle (or sphere) is the one. To encompass or circumscribe is to unify. To make the plural singular.

I'm floating this idea that all numbers are one number. Of course this is figurative language.

Take a number like "5.678" which has four digits. These digits are a unified expression of a singular quantity. Nine digits are convenient, but using positional notation we could do the job with two digits: 1 and 0.

Positional notation itself seems to me like the circumscription of circumscriptions. Each place is a circle that contains its associated number of circles. I'm using circle and unity here synonymously. Numbers are circled circles.

A number is one quantity written in the terms of sub-unities.....?

It seems that 1 is the real base of our number continuum. To multiply by a number less than one is to divide. 1 is its own square and cube, and square root, and cube root. Pure minimal being grounds the entire spectrum. We can name any number we want. One is the tonic that grounds everything from binary to hexadecimal. the other digits are officially tempered, or equally spaced, and named systematically. basically one's displaced by notations to a place about or beneath one. to speak in musical terms. We all agree that it's a movement equal to one that makes a two into a three. One is the size of the "whole rest" in the music o mathematics. Are there non-tempered number systems? (music is a good metaphor, i hope...)

Equal temperament - Wikipedia, the free encyclopedia

No concept of one, no mathematics?