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two applications of the argument for a first mover

One can apply it to the mathematized, mechanistic universe... showing it needs a pusher of sorts. But such an argument may be embarrassed by momentum (as I am by my spellllling), etc. Secondly one can apply it to entelecheia-rich universe:  here the first mover is a final cause.  But there is also the need for the first moving mover, which is not pushed but acts for the sake of a final cause.  And that final cause is an unmoved mover.  The latter is a more adequate consideration of motion.