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12997 | Analysis is the art of finding the middle term [Leibniz] |
Full Idea: The art of finding intermediate terms (the 'middle term') is the art of 'analysis'. | |
From: Gottfried Leibniz (New Essays on Human Understanding [1704], 4.02) | |
A reaction: This proposal is straight out of Aristotle's 'Posterior Analytics'. Nowadays we would say there was much more to analysis, the finding of necessary and sufficient conditions being the most obvious way of putting it. |
12274 | Begin examination with basics, and subdivide till you can go no further [Aristotle] |
Full Idea: The examination must be carried on and begin from the primary classes and then go on step by step until further division is impossible. | |
From: Aristotle (Topics [c.331 BCE], 109b17) | |
A reaction: This is a good slogan for the analytic approach to thought. I take Aristotle (or possibly Socrates) to be the father of analysis, not Frege (though see Idea 9840). (He may be thinking of the tableau method of proof). |