On the fundamental problem with speech

When we (humans) invent speech and thereby partition reality into things and kinds of things, we at the same time give rise to a fundamental paradoxical contradiction.

The paradoxical contradiction is that the things of reality have to be finite if reality is finite (which is the only rational assumption) by meaning that there then logically are two non-finite kinds of kinds: one that is empty and one that is infinite, which are logically identical, and which also are logically identical to single thing. A single thing is thus logically also both an empty kind and an infinite kind. This paradoxical contradiction is called Russell’s paradox.

This fundamental paradoxical contradiction (ie, Russell’s paradox) thus means that singularities are logically false (ie, paradoxically contradictory) if reality is finite, which thus is the only rational assumption. We thus appear to be trapped in an eternal paradoxical carousel in search for a single truth that isn’t to be found, independently of whether we are consistent (ie, assuming that things are real) or inconsistent (ie, assuming that kinds are real). However, if we start from logic itself, then we can bypass this paradoxical contradiction by deriving the consistent approach (ie, that things are real) via the inconsistent approach (ie, that kinds are real), by erroneously assuming that the single thing (ie, Russell’s paradox) is real (ie, ZFC), and can thereby be totally consistent.

What this route to total consistency says about reality is nothing. It just explains “The Axiom of Choice”.




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