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JeremyHahn comments on Why is the A-Theory of Time Attractive? - Less Wrong Discussion
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You might be able to do it with some abstract nonsense. I think general machinery will prove that in categories such as that defined in the top answer of
http://mathoverflow.net/questions/92206/what-properties-make-0-1-a-good-candidate-for-defining-fundamental-groups
there are terminal objects. I don't have time to really think it through though.