Locations in a logical space may have any number of addressing elements i.e. coordinates — and the analogy between such a “logical space” and the space of visual-tactile experiences is embedded in metaphors. Connections between any two experiences, regardless of when-where they occurred, are edges, to which edges the properties of tension pull and compression push may be applied. A tetrahedron, in principle, consists of any four events no matter when or where these occur. So Synergetics certainly retains our sense of intervals, connections, relationships and of a logical space, a memory, wherein any number of data storage and retrieval schemes get used to identify and characterize the interconnected, discrete, special-case events.

via Hypercross Dogmatics.

]]>20th Century western metaphysics, includes hypercross dogmatics, by which I mean the preaching that human sensory apparatus, with or without instrumental enhancements, is, by some flaw in its design, locked out of certain critical perceptual realms knowable only vicariously via sophisticated hypercross mathematics. Hypercross mathematics posits a fourth axis perpendicular to the three already mutually orthogonal X, Y, and Z axes.

via Hypercross Dogmatics.

]]>Fuller was enthused and infused by the early century hype surrounding the “dimension” concept, with writers going everywhichway in their attempts to give a creative — perhaps breakthrough — spin to this signifier, now in “free fall” almost owing to its dislodging from Euclidean and Newtonian moorings. It was a heady time for all, not just Fuller. We are familiar with two of the resulting vectors operationally defined for “dimension”: Einstein’s and “time as the fourth dimension” talk, plus extrapolated Euclideanism, where 3-tuples become n-tuples, with Pythagorean distance remaining intact, giving us ‘dim 24’ sphere packings and the like Conway et al. We are less familiar with a third trajectory for ‘dimension’ and ‘4D’ in specific, which was Fuller’s. I trace the trajectory of “dimension” through his writings beginning with 4D Timelock in my paper On Redefining “Dimension” in Synergetics — showing where 4D ends up as a signifier for the tetrahedron primitive conceptuality in a “geometry of lumps”.

via Memo to Paul Ernest.

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