Comment by SamBam
4 months ago
The point is, with a constructed transcendent number, you can represent any series at all, so long as you have "enough precision."
That last part means you can simply adjust your precision to your desired constraints. If you want to unambiguously represent the primes up through all the four-digit primes, simply change your padding accordingly: 0.000200030005....
Obviously the Buenos Aires Constant in the article is a neater representation, and relies on neater math. But GP's point was that you can stuff anything at all into a transcendent number.
Yes, that was my non-mathematician's intuition.
Also, if I want to transmit a large set of primes (the complete calculated constant), I'll have to /retransmit/. How do I do that unambiguously? Well, "SOS". Transmit the set of primes. Pause long enough. Retransmit them. Ad infinitum. Ensure the pause is very very precise too.
It would be fun to pause for 2.<precision> seconds between retransmits.
Things are observable in the universe because we can tell when they are there and /not/ there. Any homogenous continuum ought to be undetectable (e.g. relativistic frame of reference, so my non-physicist brain says).
Edit: singular/plural bugfix