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Allen Stairs's avatar

A quick couple of thoughts.

Start with a less important one. If we assume (as we should) that the world is relativistic (special or general relativity) then moments aren't well-defined because simultaneity is relative. There are infinitely many different ways to slice space-time up into "space-like hypersurfaces." But let that pass. There could be a reason for preferring one way of slicing to another. Or we can just ignore relativity for the moment.

I wanted to say something about Toothless. Let's suppose that time per se is causally inert. I think most physicists would be willing to go along. But if we have anything like the world as physics understand it in mind, that doesn't mean that time is causally irrelevant. The laws of our major physical theories take the form of differential equations, and given the contents of any given instant, all the rest are fixed in order. So let S1, S2 and S3 be three different instants -- three different hypersurfaces. Reordering them and keeping their contents fixed will not mesh with the laws of physics.

Now of course if the laws are deterministic (as has been assumed above) then we have a different reason to think the future is fixed. If you don't want to invoke that consideration (since it's a very different one from the one you're interested in) then even if we assume that deterinis fails, we will still want to assume that the world is a highly regular place. And I would bet that on any plausible way of making sense of the world's having laws, Shuffle will not come out as plausible. Put differently, even if what the world is loke at one time doesn't settle what it's like at other times, that doesn't make it plausible that the supposed shuffling machine would always leave the contents of the shuffled moments unchanged.

I'll stop there, because to do the matter justice would take us deep into the weeds. But I'm not sure the assumptions your argument will need are quite as innocent as they might seem.

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Evelyn Zumthor's avatar

This article is quite thought-provoking, especially the point about "the past being fixed, and the future being predetermined." It made me rethink a lot of things. The topic of the flow of time and causality is endless, and I like the perspective you brought up

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