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Jan 23, 2017 at 22:15 comment added Zetaman Whether objective randomness (or probability at all) exists is an open question and has been receiving a great deal of dispute. What the statements you enumerate here have in common is not randomness, rather it is self-reference. After all, there is nothing random in Gödel's incompleteness theorems.
Jan 16, 2017 at 17:47 comment added CR Drost I would like to point out that the first two topics are clearly related to "the universe happens to like the group of scaled rotations", the second two are different forms of the liar paradox, and the last says that $2^N \ne N$ even when $N$ is an infinite set, which is a "diagonal argument" and hence perhaps a generalization of the liar paradox.
Jan 16, 2017 at 13:29 review First posts
Jan 16, 2017 at 13:48
Jan 16, 2017 at 13:24 history answered Jim Dutton CC BY-SA 3.0