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An investigator starts research in a new field with faith, a foggy idea, and a few wild experiments. Eventually the interplay of negative and positive results guides the work. By the time the research is completed, he or she knows how it should have been started and conducted. ↗
Man doeth this and doeth that from the good or evil of his heart; but he knows not to what end his sense doth prompt him; for when he strikes he is blind to where the blow shall fall, nor can he count the airy threads that weave the web of circumstance. Good and evil, love and hate, night and day, sweet and bitter, man and woman, heaven above and the earth beneath--all those things are needful, one to the other, and who knows the end of each? ↗
The mathematician, carried along on his flood of symbols, dealing apparently with purely formal truths, may still reach results of endless importance for our description of the physical universe. ↗
