other particular thing in his triangle; but onely to this, that the sides were straight, and the angles three; and that that was all, for which he named it a Triangle; will boldly conclude Universally, that such equality of angles is in all triangles whatsoever; and register his invention in these generall termes, Every Triangle Hath Its Three Angles Equall To Two Right Angles. And thus the consequence found in one particular, comes to be registred and remembred, as a Universall rule; and discharges our mentall reckoning, of time and place; and delivers us from all labour of the mind, sav-ing the first; and makes that which was found true Here, and Now, to be true in All Times and Places.But the use of words in registring our thoughts, is in nothing so evident as in Numbering. A naturall foole that could never learn by heart the order of numerall words, as One, Two, and Three, may observe every stroak of the Clock, and nod to it, or say one, one, one; but can never know what houre it strikes. And it seems, there was a time when those names of number were not in use; and men were fayn to apply their fingers of one or both hands, to those things they desired to keep account of; and that thence it proceeded, that now our numerall words are but ten, in any Nation, and in some but five, and then they begin again. And he that can tell ten, if he recite them out of order, will lose himselfe, and not know when he has done: Much lesse will he be able to add, and substract, and performe all other operations of Arithmetique. So that without words, there is no possibility of reckoning of Numbers; much lesse of Magnitudes, of Swiftnesse, of Force, and other things, the reckonings whereof are necessary to the being, or well-being of mankind.
When two Names are joyned together into a Consequence, or Affirmation; as thus, A Man Is A Living Creature; or thus, If He Be A Man, He Is A Living Creature, If the later name Living Creature, signifie all that the former name Man signifieth, then the affirmation, or consequence is True; otherwise False. For True and False are attributes of Speech, not of things. And where Speech in not, there is neither Truth nor Falshood. Errour there may be, as when wee expect that which shall not be; or suspect what has not been: but in neither case can a man be charged with Untruth.
Seeing then that Truth consisteth in the right ordering of names in our affirmations, a man that seeketh precise Truth, had need to remember what every name he uses stands for; and to place it accordingly; or els he will find himselfe entangled in words, as a bird
in lime-twiggs; the more he struggles, the more belimed. And therefore in Geometry, (which is the onely Science that it hath pleased God hitherto to bestow on mankind,) men begin at settling the significations of their words; which settling of significations, they call Definitions; and place them in the beginning of their reckoning.
By this it appears how necessary it is for any man that aspires to true Knowledge, to examine the Definitions of former Authors; and either to correct them, where they are negligently set down; or to make them himselfe. For the errours of Definitions multiply themselves, according as the reckoning proceeds; and lead men into absurdities, which at last they see, but cannot avoyd, without reckoning anew from the beginning; in which lyes the foundation of their errours. From whence it happens, that they which trust to books, do as they that cast up many little summs into a greater, without considering whether those little summes were rightly cast up or not; and at last finding the errour visible, and not mistrusting their first grounds, know not which way to cleere themselves; but spend
time in fluttering over their bookes; as birds that entring by the chimney, and finding themselves inclosed in a chamber, flitter at the false light of a glasse window, for want of wit to consider which way they came in. So that in the right Definition of Names, lyes the first use of Speech; which is the Acquisition of Science: And in wrong, or no Definitions' lyes the first abuse; from which proceed
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all false and senslesse Tenets; which make those men that take their instruction from the authority of books, and not from their own meditation, to be as much below the condition of ignorant men, as men endued with true Science are above it. For between true Science, and erroneous Doctrines, Ignorance is in the middle. Naturall sense and imagination, are not subject to absurdity. Nature it selfe cannot erre: and as men abound in copiousnesse of language; so they become more wise, or more mad than ordinary. Nor is it possible without Letters for any man to become either excellently wise, or (unless his memory be hurt by disease, or ill constitution of organs) excellently foolish. For words are wise mens counters, they do but reckon by them: but they are the mony of fooles, that value them by the authority of an Aristotle, a Cicero, or a Thomas, or any other Doctor whatsoever, if but a man.
Subject To Names
Subject To Names, is whatsoever can enter into, or be considered in an account; and be added one to another to make a summe; or substracted one from another, and leave a remainder. The Latines called Accounts of mony Rationes, and accounting, Ratiocinatio: and that which we in bills or books of account call Items, they called Nomina; that is, Names: and thence it seems to proceed, that they extended the word Ratio, to the faculty of Reckoning in all other things. The Greeks have but one word Logos, for both Speech and Reason; not that they thought there was no Speech without Reason; but no Reasoning without Speech: And the act of reasoning they called syllogisme; which signifieth summing up of the consequences of one saying to another. And because the same things may enter into account for divers accidents; their names are (to shew that diversity) diversly wrested, and diversified. This diversity of names may be reduced to foure generall heads.
First, a thing may enter into account for Matter, or Body; as Living, Sensible, Rationall, Hot, Cold, Moved, Quiet; with all which names the word Matter, or Body is understood; all such, being names of Matter.
Secondly, it may enter into account, or be considered, for some accident or quality, which we conceive to be in it; as for Being Moved, for Being So Long, for Being Hot, &c; and then, of the name of the thing it selfe, by a little change or wresting, wee make a name for that accident, which we consider; and for Living put into account Life; for Moved, Motion; for Hot, Heat; for Long, Length, and the like. And all such Names, are the names of the accidents and properties, by which one Matter, and Body is distinguished from another. These are called Names Abstract; Because Severed (not from Matter, but) from the account of Matter.
Thirdly, we bring into account, the Properties of our own bodies, whereby we make such distinction: as when any thing is Seen by us, we reckon not the thing it selfe; but the Sight, the Colour, the Idea of it in the fancy: and when any thing is Heard, wee reckon it not; but the Hearing, or Sound onely, which is our fancy or conception of it by the Eare: and such are names of fancies.
Fourthly, we bring into account, consider, and give names, to Names themselves, and to Speeches: For, Generall, Universall, Speciall, Oequivocall, are names of Names. And Affirmation, Interrogation, Commandement, Narration, Syllogisme, Sermon, Oration, and many other such, are names of Speeches.
Use Of Names Positive
And this is all the variety of Names Positive; which are put to mark somewhat which is in Nature, or may be feigned by the mind
of man, as Bodies that are, or may be conceived to be; or of bodies, the Properties that are, or may be feigned to be; or Words and
Speech.
Negative Names With Their Uses
There be also other Names, called Negative; which are notes to signifie that a word is not the name of the thing in question; as these words Nothing, No Man, Infinite, Indocible, Three Want Foure, and the like; which are nevertheless of use in reckoning, or in cor-
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recting of reckoning; and call to mind our past cogitations, though they be not names of any thing; because they make us refuse to admit of Names not rightly used.
Words Insignificant
All other names, are but insignificant sounds; and those of two
