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Jayson_Virissimo comments on Concepts Don't Work That Way - Less Wrong
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What is mathematics, but the purest form of conceptual analysis?
Math is rigorous. Most conceptual analysis is not.
EDIT: Also of note is the fact that mathematics has its own special language that is completely formalized. Philosophers, on the other hand, insist on using natural language to perform conceptual analysis, which has a number of problems.
Are you claiming that math is not a kind of conceptual analysis or just that the conceptual analysis in math is more rigorous (less likely to produce bad results because it relies less on natural language)?
The second, as well as observing that as far as the task of describing what philosophers actually do is concerned, labeling math as a member of the category "conceptual analysis" isn't very helpful.