Miss Violet Viola considers numbers:
Measurements as “cold numbers with an abstract unit” are indeed a Rationalistic behaviour. Measurements before this period were less “numerical” and had a lot to do with the essence of things. Length measurements for the Romans and ancient populations were “arms” and “steps”. Liquid measurements were “amphors”. These measurement units were somehow “tangible”, not “abstract”. The metre was established in 1791, in the period of the Rationalistic revolution, and its meaning or reason is something abstract, while the yard is more linked to the tangible physical reality.

Aristasia is a world where things have a deeper link between themselves. The so-called (for and by Tellurians) “invisible world” is not so invisible in Aristasia. There is a relationship between things, between everything.

Lady Aquila expands on these ideas:

The French Revolution, with its aggressive and regicidal this-worldly rationalism, forced the metric system first on France and then on most of Europe. It was a system deliberately conceived to eradicate the “superstitious” (read spiritual and traditional) nature of real measurements.

Traditional Geometry was passed to patriarchal Europe, from much more ancient sources, by Pythagoras and Plato, both of whom were fully aware of its higher significance: a significance still expounded (though rarely understood) by the teachers of the surviving symbolic system of Freemasonry – one of the last West-Tellurian examples of a true traditional generation-to-generation transmission of doctrine.

Your picture of Geometria is very significant. Geo-metria means earth-measurement. And while the earth is strongly represented with its mountains, trees and rivers, Geometria does not touch it. Indeed her lower parts – the legs and feet which would connect her to the physical earth – are missing. She floats in a cloud, signifying spiritual or angelic quality, and yet she inscribes the fundamental shapes on which all earthly things are based.

Contemplating her image, we learn something of the apparent contradiction between true and false measurement.

True, traditional measurement seems on the surface much more concrete. Its terms relate to feet, paces and thumbs – and yet it is based in the higher principles of being.

False, rationalistic, measurement seems purely abstract. Its names mean nothing but “measure” plus fractional numbers. And yet is is bound wholly to the visible world and is entirely ignorant of every trace of higher significance.

Also see The Image of the Cosmos and Aristasian Standards

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