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pragmatist comments on Why is the A-Theory of Time Attractive? - Less Wrong
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I don't think B-theory, broadly construed, would be incompatible with that. B-theory is basically just treating space-time as an integrated entity, rather than having radically different ontologies for space and time. It doesn't require time to be partially ordered, any more than it requires spatial directions to be partially ordered.
I would think it does. Time without ordering aint much like time to me. YMMV.
But that was my point. You don't get well defined global ordering if time loops.