Does True Randomness Actually Exist?
May imply recursivity in some way? Mind you, didn't watch the vid.
It's an excellent video about a fascinating mathematical fact. I am not sure the treatment of infinite objects would be in your wheelhouse, so to speak. But it could help your understanding if you watched it with the right attitude.
The wonderful central fact is that there is only one random graph (with a very general definition of what that is - something that could be made a tad clearer in the video, to be frank! To be fair, he does give two constructions and shows they are the same with probability 1).
The Rado Graph (also known as "the random graph")
[One more precise statement of the "there's only one random graph" theorem is as follows:
If you construct a graph by starting with a countable set of points and randomly connected each pair of points with some probability 0 < p < 1, then, with probability 1, you get the same graph to within isomorphism. For clarity, two graphs are isomorphic if there is a 1-1 mapping between their sets of vertices that preserves the property of two vertices being connected or not ].
Reminder to me to reread this post.
Where does random derive?
Heliocentric theory perhaps?
Is that not the end all be all of randomness?
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Yes, tied to the sun forever. No more zooming and wooshing off to another galaxy and back. It ain't conceivable. Merry Christmas!
It is "conceivable", but many impossible things are conceivable. Time travel is conceivable. Teleportation is conceivable. A magic lamp that summons a genie who grants three wishes is conceivable.
how many sci fi outer space movies are there Elroch? ---- -- -- -
take a random guess
Must be an astronmical number.
Human experience is punctuated by unforeseen events beyond our control. For philosophy, the notion of chance presents a challenge. Should we consider chance as an illusion that reason will eventually dispel, or as an irreducible reality that resists all rational explanation ?
Smile and let happiness do the rest.
two people make identical choices -
each with completely contradictory consequences -
how on earth can that happen ?
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Trogdor was a Troglodyte