The problem, I think, would be that no book on infinity would be any more definitive than your own ideas. Entertaining, sure. But would you 'know' any more in the end. I doubt it. Zeno probably covered it all - and you still can't get good odds on the tortoise.

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If something is in me which can be called religious then it is the unbounded admiration for the structure of the world so far as our science can reveal it... of the manifestations of the profoundest reason and the most radiant beauty, which are only accessible to our reason in their most elementary forms...
Albert Einstein