An Essay Concerning Humane Understanding, fol. 274
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.
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The machine reads it as
- exteni of Tumane nomledee.
- BOOKLV
- that are ignorant oE Alcebra carinot imagine the Wonders in eliis kind
- are to be done by ic; and erhat farcher Improvements and Helps, ad vari.
- tageous to other parts ofRnomledee, the lagacious Mind of Nan may
- Vec find our, tisnor easteto determine. This at lcast IBelieve, tlat che
- Ideas oF Ouancier are noc those alone thatare capable of Demonstrarion
- andHnomledse; and that ocher, and pertiaps more usetul parts of Con-
- templacion, rould aftord us Certainty, il Vices, Passions, and donri-
- necrirs Interests did noc oppole, or menace such Fndcavours.
- The dea ot a supreme Beins, intinite in Porver and Wisdom, wrhole
- Workimanshix re are, and on whom re deperul; and the Idea ot our
- selres, as understandine, rational Creatures, beins such as are clear in uS,
- Would,. I suppole, il duly considered, and pursued, attord such Founda-
- rions ot our Duty and Rules oF Action, as misht place Moralicy amonest
- ihe Sciences capaele of Demonstration; Wherein I douDe nOE, BUE FrOm
- Principles, as incontestable as those of the Mathematicks, Dy necessary
- Consequences, the mealures oF risht and urons mighr De made out, toany
- one that rill apply himsels rith the same Indittereney and Aetention tO
- theore, as he does to the other ofthese Sciences. The Relation ot ocher
- Modes may certainls be perceired, as well as those of Number and FX-
- tension; and P cannot sec Why thez Bould not also De Capable ot Deron-
- Stration, if due Methods ivere thouche on ro exammine, or pursue cheir
- Agroement or Dilagreement. Where there is no Proprietr, there 15 10
- Injustice, is a Propositionas certain as ans Demonstration in Fuclid: POr
- the Idea ot Properer, beins a risht to ans chins; and the Idea eo wrtrichi
- the name Injultice is given, beins che Inration ox Violation ot that riehe;
- it is evident, thatthese Ideas beins ehus cMlablithed, and these names an
- rexed tothem, L can as certains bnom chis Proposition tobe true, as
- that a Friansle has chree Ansles equal to trorisht ones. Again, 1060-
- vernment allous absolure Liberry, ehie Idea ot Grovernment beins the esta-
- blisiment of Sociey uxon certain Rules Or Lars, Wtrich require Contor-
- mitr ro them; and the Idea of absolute Liberer, Deing for auy one co do
- erhacever he pleales; Iam as capable of being certain of the Truth ot thiis
- Proposirion, a5 oF ans in MathematickS.
- 5. 19. Thac which in this respect has siven the advantase to the Ideas
- OE Ouantity, and made themthousht more capable of Cerraints and De-
- monstration, is,
- First, Thac they can be ser dorn, and represented by sensible marks
- erhich have a greater and nearer Correspondence ich themthan a.
- ny Words or Sounds whatloever. Diagrams drann on Paper are
- Copies of the ideas in the Mind, and not liable to the Incertaintis that
- Words carry in their Signification. An Anglo, Circle, or Square, drain
- in Lines, lies open cothe vie, and cannot be miltalien: it remains un
- chanseably, arid may at leisure beconsidered, and examined, end theDe-
- monttration berevised, and all the parts of it may be sone over more than
- onco, rithout any danger ot the least change in the Ideas. This CannOt
- De thusdone in moral Ideas, We have no sensible martes that resemble ihem,
- Whereby e can set them donn; e have nochins but Words to exprels
- eliem bys Wrhrich though, When trrieten, ther remain the same, vet the
- Fdeas they Rand For, may change in the lame Man; and tis very seldom,
- that cher are not different in ditterent Perions.
- Secondly, Another ching that matres the greater difficules in Ethicks,
- is, Thatmorat Ideas are commoniy more complex than thole oF the Fi
- cures ordinarily considered in Mathematicks: trom erhence these trrotn.
- conveniences tollo: First, Fhac elieix mames are ot more uncerrain Six.
- nisacatior,
Cite
An Essay Concerning Humane Understanding, fol. 274. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/778263916:0290?run=74