Page:An Enquiry Concerning Human Understanding - Hume (1748).djvu/257

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Of the Academical or Sceptical Philosophy.
245

The sceptical Objections to moral Evidence or to the Reasonings concerning Matter of Fact are either popular or philosophical. The popular Objections are deriv'd from the natural Weakness of human Understanding; the contradictory Opinions, which have been entertain'd in different Ages and Nations; the Variations of our Judgment in Sickness and Health, Youth and Old-age, Prosperity and Adversity; the perpetual Contradiction of each particular Man's Opi-

    it follows that all the Ideas of Quantity, upon which Mathematicians reason, are nothing but particular, and such as are suggested by the Senses and Imagination, and consequently, cannot be infinitely divisible. In general, we may pronounce, that the Ideas of greater, less, or equal, which are the chief Objects of Geometry, are far from being so exact or determinate as to be the Foundation of such extraordinary Inferences. Ask a Mathematician what he means, when he pronounces two Quantities to be equal, and he must say, that the Idea of Equality is one of those, which cannot be defin'd, and that 'tis sufficient to place two equal Quantities before any one, in order to suggest it. Now this is an Appeal to the general Appearances of Objects to the Imagination or Senses, and consequently can never afford Conclusions so directly contrary to these Faculties. 'Tis sufficient to have dropt this Hint at present, without prosecuting it any farther. It certainly concerns all Lovers of Science not to expose themselves to the Ridicule and Contempt of the Ignorant by their absurd Conclusions; and this seems the readiest Solution of these Difficulties.

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