LOL!wo! That escalated quickly!This is beginning to remind me of the arctan and inverse abs threads ...
It's called idempotenceThat would agree. Galois and the beginning of the set theory is the early 19th century and it took it over half a century to go mainstream, if I remember rightly. Since 1 is a neutral element of the real number set, it cannot be consider either prime or complex (one does not include it among prime factors as it wouldn't give a unique factorisation - you can multiply by 1 as many times are you want, and hence deny the fundamental theorem of arithmetic.
Yes, Peano did itThis is going to be the longest thread ever, Whitehead Russell needed more than a 1000 pages to prove that 1+1=2
But before we can continue where they left of we need to establish precisely what your symbol '''1'" represent? My initial reaction was that it was a python string of length 1 (no semicolon at the end of the line). Or is it a reference to a number? What type of number? Can you list the axiomas of that number system, explain the symbols you use and the operations one can use to manipulate those symbols?
When you "throw 6"with a dice you don't ask "six what? six times against the wall?? six months?? six different colours??" .. it's obvious that 6 is the event where the outcome is 6 eyes.This exercice is not clear. Such text must be extremely precise.
"with each power of two having an equal probability"
This does not mean anything. A number has no probability, but an event, yes. So what does it mean?
"and each possible distribution being equally likely for a certain true count"
I think this is the worst one. A "distribution equally likely", is the distribution random?! I suggest the writer to type "distribution of probability" on google and learn. Once done, what did s/he mean?
"Assuming Albert guesses optimally"
Optimality is here undefined. So, again, same question, what does it mean?