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CHAPTER V.

Of Reason and Science.

When a man "reasoneth," he does nothing else but conceive a sum total, from "addition" of parcels; or conceive a remainder, from "subtraction" of one sum from another; which, if it be done by words, is conceiving of the consequence of the names of all the parts, to the name of the whole; or from the names of the whole and one part, to the name of the other part. And though in some things, as in numbers, besides adding and subtracting, men name other operations, as "multiplying" and "dividing," yet they are the same; for multiplication, is but adding together of things equal; and division, but subtracting of one thing, as often as we can. These operations are not incident to numbers only, but to all manner of things that can be added together, and taken one out of another. For as arithmeticians teach to add and subtract in "numbers"; so the geometricians teach the same in "lines," "figures," solid and superficial, "angles," "proportions," "times," degrees of "swiftness," "force," "power," and the like; the logicians teach the same in "consequences of words"; adding together two "names" to make an "affirmation," and two "affirmations" to make a "syllogism"; and many "syllogisms" to make a "demonstration"; and from the "sum," or "conclusion" of a "syllogism," they subtract one "proposition" to find the other. Writers of politics add together "pactions" to find men's "duties"; and lawyers, "laws" and "facts," to find what is "right" and "wrong" in the actions of private men. In sum, in what matter soever there is place for "addition" and "subtraction," there also is place for "reason"; and where these have no place, there "reason" has nothing at all to do.