Douglas_Knight comments on Rationality Quotes: October 2009 - Less Wrong
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I checked Aristotle's 'On the Heavens' and 'Physics'. Nowhere could I find him saying that a heavy object falls faster than a light one. Aren't it the Aristotelian scholars who said that and who are to blame? Aristotle distinguished relative weight (our mass) and absolute weight (our mass density) and gives practical examples to check that denser objects move faster downwards in water than less dense objects, if the objects have the same shape.
Aristotle really said it, in Heavens 4.2:
Note that he take the extreme position that heavier objects fall faster, not just denser! This claim is robust against translation errors since he is keeping the material fixed. I have not been able to find the passage you mention, though I did find a discussion of objects falling slower in water than air.