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Every Man being conscious to himself, That he thinks, and that which his Mind is employ'd about whilst thinking, being the Ideas, that are there, 'tis past doubt, that Men have in their Minds several Ideas, such as are those expressed by the words, Whiteness, Hardness, Sweetness, Thinking, Motion, Man, Elephant, Army, Drunkenness, and others: It is in the first place then to be inquired, How he comes by them?
From whence it is obvious to conclude that, since our Faculties are not fitted to penetrate into the internal Fabrick and real Essences of Bodies; but yet plainly discover to us the Being of a GOD, and the Knowledge of our selves, enough to lead us into a full and clear discovery of our Duty, and great Concernment, it will become us, as rational Creatures, to imploy those Faculties we have about what they are most adapted to, and follow the direction of Nature, where it seems to point us out the way.
Had you or I been born at the Bay of Soldania, possibly our Thoughts, and Notions, had not exceeded those brutish ones of the Hotentots that inhabit there: And had the Virginia King Apochancana, been educated in England, he had, perhaps been as knowing a Divine, and as good a Mathematician as any in it.
Truth then seems to me, in the proper import of the Word, to signifie nothing but the joining or separating of Signs, as the Things signified by them do agree or disagree one with another; which way of joining or separating of Signs, we call Proposition.
So that Truth properly belongs only to Propositions: whereof there are two sorts, viz.
And thus mathematicians do, who do not in every new problem run it back to the first axioms through all the whole train of intermediate propositions.
Certain theorems that they have settled to themselves upon sure demonstration, serve to resolve to them multitudes of propositions which depend on them, and are as firmly made out from thence as if the mind went afresh over every link of the whole chain that tie them to first self-evident principles.This, in short, is right reasoning; and by this way alone true knowledge is to be got by reading and studying.When a man, by use, hath got this faculty of observing and judging of the reasoning and coherence of what he reads, and how it proves what it pretends to teach; he is then, and not till then, in the right way of improving his understanding, and enlarging his knowledge by reading.It is enough for a gentleman to be furnished with the ideas belonging to his calling, which he will find in the books that treat of the matters above-mentioned.But the next step towards the improvement of his understanding, must be, to observe the connexion of these ideas in the propositions, which those books hold forth, and pretend to teach as truths; which till a man can judge, whether they be truths or no, his understanding is but little improved; and he doth but think and talk after the books that he hath read, without having any knowledge thereby.For the saving the long progression of the thoughts to remote and first principles in every case, the mind should provide itself several stages; that is to say, intermediate principles, which it might have recourse to in the examining those positions that come in its way.These, though they are not self-evident principles, yet, if they have been made out from them by a wary and unquestionable deduction, may be depended on as certain and infallible truths, and serve as unquestionable truths to prove other points depending upon them, by a nearer and shorter view than remote and general maxims.This was later quoted verbatim in Joseph Addison The Spectator (), No. Euclid and Archimedes are allowed to be knowing, and to have demonstrated what they say: and yet whosoever shall read over their writings without perceiving the connection of their proofs, and seeing what they show, though he may understand all their words, yet he is not the more knowing.He may believe, indeed, but does not know what they say, and so is not advanced one jot in mathematical knowledge by all his reading of those approved mathematicians.About this Quotation: Just as Vicesimus Knox tried to persuade a young nobleman under his care to abandon the aristocratic notion that he had a right to rule over others, John Locke tells his “gentleman” friend that if he wished to be of true service to his country it might be more profitable to read good books than to pursue other more “gentlemanly” activities.Wherever violence is used, and injury done, though by hands appointed to administer Justice, it is still violence and injury, however colour'd with the Name, Pretences, or Forms of Law, the end whereof being to protect and redress the innocent, by an unbiassed application of it, to all who are under it; wherever that is not bona fide done, War is made upon the Sufferers, who having no appeal on Earth to right them, they are left to the only remedy in such Cases, an appeal to Heaven.