This last was the mode of applying the Method most in vogue with Aristotle and the Greek Scientists; while the first was preeminently, almost exclusively, the process of the Greek Philosophers and the medi?val Schoolmen.
But while the endeavor to arrive at certain knowledge by the Deductive Method, by attempting to reason from Principles to Facts, from Generals to Particulars, failed so completely as far as the Anticipative or Hypothetical branch, of the Method was concerned, the same mode of procedure was productive of the most satisfactory results when applied to Mathematics, and furnished a rapid and easy means of arriving at the ulterior Facts of this department of the universe with precision and certainty. We have thus the curious exhibition of the same process leading into utter confusion when applied to one set of phenomena, and into exactitude and surety when applied to another; and behold the Scientific world condemning as utterly useless for other departments of investigation, and throwing aside, a Method which is still retained in the only Science that is called _exact_, and in which proof amounts to _demonstration_, in the strict sense of the term.
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