{The Sphere [continued (12)]}[24th July 1988]

[Redbook5:225][19880724:1443l]{The Sphere [continued (12)]}[24th July 1988]

19880724.1443

[continued]

I should like to find out more about the relationship between powers of numbers, which seem naturally to give rise to considerations of dimension in space (e.g. squared for 2-D[imensional], Cubed for 3-d[imensional]), and the co-ordinates which we use to model these dimensions (i.e. x,y,z).*

*[Part of the answer to this and/or other speculations elsewhere in these journals which might seem susceptible of mathematical analysis might be found in the Octonian (8-dimensional) numbers, whose use for plotting co-ordinates in 8-dimensional space (illustrated geometrically by workings around 8 equidistant points on the circumference of a circle) would seem apposite to, for example, the plotting of individual personalities from 8 fundamental types or archetypes. If the observation (in this journal) that there is a qualitative change around n=4** is correct (n=3 giving 8), this suggests interesting possibilities for the transition between Individual personality combinations susceptible to mathematical analysis, and independent consciousness*** which may be essentially subjective**** (and, as Max Planck may or may not have meant, potentially a fundamental property of the Universe). <20180730>]

**[i.e. ^4 (the power of 4). See [Redbook5:223][19880724:1443g]{The Sphere [continued (7)]}[24th July 1988], & earlier speculations which placed this qualitative change around A~, as equivalent to ^4 around the Outer Circle. <20180730>]

***[What is consciousness? Well, perhaps self-awareness, the ability to examine subjectively one’s own ways of thinking, may play a significant part in enabling us to recognise consciousness at a level at which it is of interest to us, and to distinguish it from (for example) machine and lower animal awareness.<20180730> (& see [Redbook5:272-273][19880812:1704f]{In Two Minds [continued (6)]}[12th August 1988]) <20190104>]

****[& see [Redbook5:229][19880724:2355#]{The Sphere [continued (19)]}[24th July 1988]]

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