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I think there's a legitimate question as to whether every real number is actually physically real. [1] It seems credible that our universe can only actually pre
by FeepingCreature 8y ago
I think there's a legitimate question as to whether every real number is actually physically real. [1] It seems credible that our universe can only actually present us with a finite number of possible sensory experiences, in which case an event with probability 0 actually couldn't ever happen. That said, even if the universe can present you with an infinity of observations you can certainly only consider a finite number of classes of them, leading to the same outcome.
[1] https://arxiv.org/abs/math/0411418 https://arxiv.org/abs/math/0411418
- throwawaymath 8y agoYep, this is why I wouldn't personally use 0 probability to describe anything in the real world. It technically works, it's just the realm of pure measure theory rather than anything applicable to finitely many trials.