Flatness as a spatial limit is connected with geometrical forms:
triangle, square, . . . circle, . . . . .
Flatness as an infinite continuum is connected with negative
Pseudo-Euclidian space (Mincowski - SRT)
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It is certainly no coincidence that two similar beliefs occured and became dogmas at the same time: (1) the belief that the big bank can create the money out of nothing; (2) the bielef that the big bang can create the universe out of nothing.
I guess that would support the notion of an eternal re-occurrence rather than a “something from nothing”. There had to be people before there could be money.
Yes eternal, but not an exact recurrence. The idea of identity having been surpassed by similarity by unperceptible differences, gives reign to a process of I change. Eternity could not be measured or fathomed by identical recurrences, it would defeat change, in fact it would result to a frozen, immutable state.
The mathematics proves that identical re-occurance/repetition is impossible. When I said re-occurance, I was referring merely to repeated “bangs”, not repeated identical results.
No doubt in reality, the galaxies become black holes that collide such as to reproduce new galaxies that do the same all throughout the infinite universe.
In the realm of a logical super cession of language systems, such as mathematics, the idea of identity,as
In the case of Liebnitz’s two identical spheres, seems to rule in favor of absolute causes. Where similarity and not identity is the progenitor of language, (as Wittgenstein points to in his 'family of resemblances); shadows the idea of Leibnit’s functional derivative in a sequence set of diminishing value, where 1 does not equal .00000000000000009. This we discussed before. But at the virtual point where this can only be described in hyper-real
numbers, an absolute identity has to be supposed.
At that point, something happens in the conscious transformation, or reversely, in the reflexive modus operandi, where the cognitive virtual world of supposed absolute identity ,implicates a relative(in the sense of relational) between this absolute, and the relative, or relational , categorically defined mathematical subset. (Inference, or logic)
So it becomes necessary, by logical inference that such process is understood as such: and even if, black holes are only cognitive tools to apply to the most probable event, the probability is such, as to ground the mathematical description of it, as the most probable course to define what is happening.
Identical bangs, given a progression of similar occurances toward the infinite reps, reduce the conceptual differential values, toward the imperceptible, therefore gaining an identically repeating universe a conceptual ‘sameness’.
But to be defined as same, that universe has to be compared to -same as what- and in that sense it has to be the same as the identifiable other sphere.
But that develops into other unidentifiable spheres, giving rise to the worlds of bubbles, each appearing the same as the other.
The idea of the eternal recurrence, as exact copies, is at the least, becomes necessary, in order to base a logical foundation to mathematical and semantic languages.
Mathematically, it turns out to be more than infinitely improbable that given an infinity of time, the universe would ever become even remotely similar in shapes and positions to any past that it had ever been. The reason is that it has 3 dimensions of freedom in spatial positioning yet only 1 dimension in time. If the universe was only one dimensional, there could be a finite possibility of the universe repeating itself at least once throughout infinite time.
When referring to ‘merely’ bangs, not identical ones,
it should be kept in mind, that the difference is
merely one based on indiscernibles at their virtual limit. Then, at this point, whether the two types of
bangs are virtually identical or similar are irresolvable
in any conceivable language, - both can be
applications of some transformal function.
In this view, similarity qua identity would more likely to appear as such, at least in the beginning stages of the function.
In new worlds, identities are apprehended first, and upon this notion are modeled the formal attributes of perceiving calculations. Later, differential functions, composed of more detailed and extended uses, break down these formalists and the differences will be argued with differential logic. The perceptions change the very makeup of the perceived.
However such perceptions become relative and fractual, giving rise to regression to re-identify with earlier models.
Therefore, it is the referring capacity to many time reversals of prior -a-priori perceptions which signify
the trend to re-integrate the cut up view of the seemingly continuous time - flow.