269.00 Topology of Ins, Outs, and Interrelationships

269.01 The self or otherness somethingnesses seem initially to be infratune-in-able. Thinking in terms of Euler and advantaged by all electromagnetically harvested experience, we may now employ the term inframicrosystems instead of “points” and ultramacrosystems instead of “space.” The tuner and the tuned have a minimally-energy-expensiveergo, geodesicset of interrelationships. Tune-in-ability and tune-out-ability systems function as transceivers. Tune-out-ability is omnidirectional transmission: it does not mean shut off, as does “turn ing out the light.” The tuner and the tuned inherently constitute an in-out transceiver systema coordinate, concentric, convergent-divergent, frequency-differentiable system.

269.02 The silence is ultratunable; the noise is infratunable; and the music is tunability itself. Color is special case tunable.

269.03 In and out are characteristic of the tunability language of electromagnetics. Any or no direction is of equal information importance.

269.04 We can call the focals the ins. Focal point =in ; in vs omnidirectional. The focal ins are special case, while the outness is generalization. This is how conceptuality produces geometry independent of size and time. Outness is ultratuned conceptuality independent of time-size. Inness is conceptually oriented independent of size.

269.05 But there are always the outsideness and the insideness of tetrahedral system unitythe ultratunable, omnidirectionless nothingness and the infratunable, twilight-radiant-threshold-crossing, directionally oriented some-thingness. Instead of Euler’s vertexes, crossings, or points, we say:

inframicrosystems, which are only directionally identifiable; specific directional ins; threshold-crossing, twilight-radiant, twilight-frequency somethingnesses tune-in-able only as noise.

ultramacrosystems, which are nondirectionally identifiable; the omnidirectional outs, never-as-yet and maybe never-ever tunable; wherever and whenever the seeming nothingness may have color only as threshold-crossing, twilight-radiant, twilight-frequency, nondirectional, ultratunable outness; a number of glimpsed or window-framed views of nothingness.

interrelationships, the directionally orientable, local-azimuthally-angled, cyclically-fractionated aroundness from this moment to that; the most economic geodesic interrelationship lines occurring as curvilinear arc segments of complex orbital accelerations. (Compare Sec. 1007.22.)

269.06 The observer and the observed are two ins with one relationship. Euler said V + A = L + 2, but we may now say: The number of somethings + the number of nothings = the number of interrelationships + 2. Or we may say: The number of ins + the number of outs= the number of most economical interrelationships between the ins + the number 2. Or we may say: Observer + observed + outness = three elements = one interrelationship + the number 2. The complete generalization of Euler does away with the windows. Windows were the rims of the eyeglass-framing separate views of the same nothingness.

269.07 In generalized topology we may use symbols for ins, outs, and interrelationships:S =Somethingness ins N = Nothingness outs R = Minimum number of interrelationships \textcircled{S}= Multiplicative twoness P = Additive twoness \textcircled{S}= Multiplicative twoness = Euler’s + 2 unity = twoness = the inherently cooccurring, concave-convex, systemic, inward-outward dichotomy. P = Additive twoness = Euler’s + 2 unity = twoness = the two axial poles of inherent rotatability of all systems We may say: (\textcircled{S}+N+R+P ) 2(S +N=R +P) 2(S+N=R+2)