How fundamental is complementation?

What is infinite except that which is NOT finite?

To ignore the role of the complement (ignore its absolutely foundational role…the only absolute: there is no absolute) is to ignore everything related to it…including the infinite.

Therein is the contradiction in the whole of “Cantor’s Garden”. It ignores the “orthogonal” point of view for which there is NO substitute. Trying to “add” it back in via axiom is only so much approximation.

When one rules out the absolute as self-canceling via “NOT” one sees the true structure of set theory…it is created “out of thin air” and as such is nothing but so much “air”…”fixes” to Russel’s paradox notwithstanding.

Our ideas of order do nothing to determine the “order of the universe”. It is what it is independent of our abilities.

Order has everything to do with “memory”. Why should we assume that the world has no memory? We have memory. How is it that we have memory, but the world of which we are part does not? Nonsense. There is no unchanging background “matrix” called R. Everything changes, even the sum total of all things. There exists no such thing as a perfectly, absolutely impermeable boundary.

Heraclitus was right….Zeno, not so much.