PrawnOfFate comments on Removing Bias From the Definition of Reductionism - Less Wrong
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What you are calling reductionism here is the refusal to countenance some higher-level properties. But, in fact, most reductionists do countenance most h-l properties. What makes them reductionists (which of course is not brought out by the broken LW wiki definition) is that they think all the h-l properties they countenance can be explained at a lower level. BTW, people who don't countenance any h-l properties, states, or entities are called mereological nihiists, not reductionists.