"Inductive reasoning in mathematics is more closely related to deduction and the conclusions more certain than in the natural sciences, for the concepts in mathematics are not gained directly from observation (e.g., square, right angle, circle), but are made by putting together in the definition certain simple characteristics that are already known, while in the natural sciences the essential characteristics of any class of things are determined by observation and experiment, and may be changed at any time by examination of other specimens."
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Edwin Asbury Kirkpatrick, Inductive Psychology: An Introduction to the Study of Mental Phenomena (1895)
https://en.wikiquote.org/wiki/Inductive_reasoning
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Inductive reasoning
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