I think the elements of the base need to be enumerable (proof needed but it feels natural), and transcendental numbers are not enumerable (proof also needed).
I think your parent comment was speaking of a "base-$\alpha$ representation", where $\alpha$ is a single transcendental number—no concerns about countability, though one must be quite careful about the "digits" in this base.
(I'm not sure what "the elements of the base need to be enumerable" means—usually, as above, one speaks of a single base; while mixed-radix systems exist, the usual definition still has only one base per position, and only countably many positions. But the proof of countability of transcendental numbers is easy, since each is a root of a polynomial over $\mathbb Q$, there are only countably many such polynomials, and every polynomial has only finitely many roots.)
> I think the elements of the base need to be enumerable (proof needed but it feels natural)
Proof of what? Needed for what?
The elements of the number system are the base raised to non-negative integer powers, which of course is an enumerable set.
> transcendental numbers are not enumerable
Category mistake ... sets can be enumerable or not; numbers are not the sort of thing that can be enumerable or not. (The set of transcendental numbers is of course not enumerable [per Georg Cantor], but that doesn't seem to be what you're talking about.)
Right, which works great if your daytime job is fighting in the trenches, but maybe less so if your only opportunity is software development or other mentally exhausting job.
I use rsync.net in zfs send/receive mode, I push only encrypted snapshots and incrementals, the key has never left my local device (well I have a paper copy in a remote place).
Wow. One of the links is titled "Clarifying the Hierarchy of Information-Derived Gravitational Tensors in Consciousness Field Theory". The References section has 4 entries, all written by the author of this blog.
Actually - on that particular topic - you might want to read the articles and the math before forming an opinion - start from information geometry and fisher information metrics of information processing - which is what that particular line of thought is all about...Everything on that particular line of exploration is built up from fisher information where "consciousness" is defined as a high complexity information processing geometry and so its measurable. Because its defined as a measurable physical process, not as a magical quality, it's a mathematical argument. But of course that would require reading, and sufficient knowledge to understand it.
I was under the vague impression that there is a single moment when the gravitational force in the core of the proto solar system outweighs (ha!) the electromagnetic repulsion of deuterium/tritium nuclei and fusion is achieved.
The resulting radiation pressure clears out the debris from the solar system’s accretion disk, and this process surely is not instantaneous but is relatively fast.
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