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djsjajah 1 hours ago [-]
Not all things are possible, only potentially possible ones.
If you take all the numbers between zero and one, you will find an endless supply of distinct numbers but none of them are 3.
tcdent 1 hours ago [-]
Aren't you really just talking about the level of abstraction being applied? If there are infinite possibilities between zero and one, then it's just our way of relating to it that imposes the perception of a limitation.
packetlost 54 minutes ago [-]
Maybe you can theoretically encode arbitrary (but not infinite) information, but there are still discrete underlying states.
fc417fc802 1 minutes ago [-]
> encode arbitrary (but not infinite) information
What leads you to claim that you can't encode infinite information given an infinite set to work with?
mathisfun123 55 minutes ago [-]
Terrence Howard is that you?
lolakutty 27 minutes ago [-]
And can't do all of mathematics without 3...(just map all the numbers > 1 to points inside the interval 0-1)?
rozgo 2 hours ago [-]
"I would like to make a confession which may seem immoral: I do not believe absolutely in Hilbert space anymore." - John von Neumann
kdavis 32 minutes ago [-]
Surprising that he could have that intuition in 1935, before the Unruh effect was known of, before AQFT was invented, and really before most of QFT was formulated.
But then again, he was John von Neumann.
inshard 9 minutes ago [-]
Superdeterminism... quantum noise and the which way paths are all correlated.
ocschwar 2 hours ago [-]
"What is a Hilbert space?"
-- David Hilbert.
cgio 2 hours ago [-]
The nice additional reading is that you could even know what a Hilbert space is, but not what is a Hilbert space.
thrill 2 hours ago [-]
[flagged]
katzgrau 2 hours ago [-]
Or, there is no time. Awareness traverses the grand graph of possibility.
Disclaimer: total armchair philosophy.
2 hours ago [-]
SantalBlush 2 hours ago [-]
Given infinite time, is it possible to randomly draw a rational (instead of an irrational) from the interval [0, 1]? And if so, is it possible infinite times?
rablackburn 2 hours ago [-]
Finally, a well-formed question to which the answer "42 (times)" is a possible solution.
adrianN 2 hours ago [-]
"Randomly" drawing anything from [0,1] is already quite difficult.
taneq 32 minutes ago [-]
You could draw a line, or a Cantor dust. ;)
LPisGood 2 hours ago [-]
Certainly! Probability 0 does not mean impossible.
voxl 59 minutes ago [-]
In this case it does. Describe any effective measure to pick a random sample from the interval and you will have cheated into choosing from the computable reals instead (of which there is a countable amount)
What leads you to claim that you can't encode infinite information given an infinite set to work with?
But then again, he was John von Neumann.
-- David Hilbert.
Disclaimer: total armchair philosophy.