The metaphysics of continuity (my thesis topic) is actually related to Monotheism, as follows. Given Naturalism, our concepts probably evolved, through a succession of brains performing various functions within changing environments, so that although primitive concepts like continuity (smooth extension) would have been effective enough building-blocks of the world-views of primitive humans (and may remain the foundations of a folk metaphysics adequate for common sense), we would have little reason to expect them to cohere (beyond such limited applications), let alone correspond (to the structure of reality). But while set-theoretical continua would then be quite adequate for our needs, why should we (and is it even rational to) accept such a dismal view of our own reasoning powers (in the absence of a proof of atheism)?
......But, if we were created by (and in the image of) a perfect person, then we might reasonably expect our most basic concepts to carve nature at its metaphysical joints; and if (as reason and revelation indicate) that person exists everlastingly (rather than timelessly) then (unless we think of God as existing within time) time would be primarily an aspect of a perfect person, whence time would probably (since it appears to be smooth) be full of a perfect (or absolute, rather than merely transfinite) infinity of instants—if continua are full of points; and it's quite conceivable (think of a square) that perfectly sharp edges exist geometrically, and a point is where two such lines could intersect, as they can (think of its corners), and (since there is nowhere in a line where it could not be intersected by another line) hence there are points everywhere within it.
Great moments in obscure rock 'n' roll: Stack Waddy, "Mystic Eyes," 1971 - British blues rock band active in the late 1960s and early 1970s, this is from their debut album (a cover of the mid-60s number by the Irish band Them):
47 minutes ago