This is our monthly thread for collecting these little gems and pearls of wisdom, rationality-related quotes you've seen recently, or had stored in your quotesfile for ages, and which might be handy to link to in one of our discussions.
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Even if that argument is valid, it doesn't seem to rule out matter being "infinitely divisible" in the sense that it could be divided arbitrarily many times - which is what a rejection of atomism really means - just the stronger sense of being able to divide something infinitely. As an argument against atomism it seems to rely on an equivocation between these two, unless that case is somehow ruled out.
I don't really follow. How is arbitrarily divisible not the same as infinitely divisible? If there is some limit to the arbitrariness then it's just atomism discussed. If there is no limit, then it seems like infinity to me.
(Most of the arguments against continuity use this sort of induction; continuity causes problems at this level, and it logically causes problems on n+1 levels; therefore it causes problems on all levels.)