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# Title: An Essay Concerning Humane Understanding (shelfmarks Leibn. Marg. 38; ZEN Leibn. Marg. 38)
# Folio 266, page id 778263916:0282
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Verrées os Rnomledse.
, that V et Would neec a DrOOF. Since Without the Perception oF SucH
Aorcemenit or Dilagreement, there is no Rnomledge produced: IF ir Be
perceired by it selF, it is intuitire Rnom ledse: IF it CannOt De Perceivec
Dy ic selF, chere is necd oF some intervening Idea, as a common ineasure
eo er cheir Asreement or Dilagreement, by ehich it is plain, thaE c
verr Rep in Realonins, thac produces Rnomledee, has intuitive Certaine:
ixhich ihen che Mind perccires, thero is no more required, but to
remember it to make ehe AGrCCmenE Or Disagreement ot the Ideas
concerrins wrhich we enquire visible and cerrain. So chat i0 malié
anr thirq a Demonstration, it is necessary to perceire the immediate A-
Greement oF che intervenins Ideas, Whereby the Agreement or Dilagree-
enE OF thCEWO Ideas under Examination (Wtere the onc is alWayS FHE
First, and the octer thelast in FhC ACCOUnE) is Found. This intuitive P sp
ception of the Aereement or Disagreement of the intermediate Ideas, in
cach Step and Prosression osthe Demonstration, must alsobe carried exact
Iy inthemind, and a Nan must be sure that no part is lett out; Wrhich Bc.
cause in long Deductions, and the use of many Prooss, the Memory does
not alrars so readily and exactiy rerain: thcrelore il comes t0 pals, Lhat
this ismore imperfect than intuitire Rnomledse, and Nen cmbraCC OHten
Faloods for Demonstrations.
5. 8. The necessiry ot ehis incuitire Rnomledoe, in each step ot scienti-
fical or demonstratire Reasonins, sare occasion, Limagine, to chat mista:
ken axiom, that alt Reasoning vas ex praecognitis er praeconcessis; Whicti
hou far it is a mistatce, T Mall have occasion to Bew imoreat larse, Where
Pcome to consider Propolitions, and particular Iy. those Propositions, Which
are called Mlaxims; and to Bew thac ris by d istatze, that they are fuv:
poled to be the Toundations oF all our Rnor ledse and Realonings.
8. 9. It is not ouly Mathematicles, or the Ideas alone of Number, Fix.
rension and Fieure, that are capable of Demonstration no more than it js
these Pdeas alone, and their Nodes, that are capable os Intuition: Por
erhacerer Ldeas Wre have, Wherein the Mind can perceire the immediate
Aereement or Dilacreement that is betreen chem, there theMind is ca-
Pable of intuitire Rnorledee; and erhere it can perceire the Agreement
Or DisaDreCenE OF anY FWO Ldeas, bH an intuitire PerceptiOn OF FHC AGrCC.
ment or Disagreement they have trich any intermediate Ldeas, there thC
Mind is capable os Demontration, Which is nor limired to Ideas ol FX
tention, or Picure, or Number, or cheir MIOdes.
8. T0. TheReatOn Why it has Been generally Conght For, and supposed
tobe onty in rhole, limagine, has been not orty the general uletulriess oE
Fhose Sciences: Bui Decaule, in comparino their lqualiey or PxCCIS, tlie
Modes oF Numbers hare every the least difference verr clear and perceira
BIC: And thoush in FXtension, everz the least EXcessis not lo perceprible;
vet the Mind has found out mazs, to examine and discover demonstrative.
I ehie just Fqualits of tro Angles, Or Fxtensions, Or Pigures, and bOtI
chese, i. c. Numbers and Fisures, can be set dorn, by vilible and la cine
marLS.
S. TF. But in otter simple Ideas, hole Modes and disserences are made,
and connred by degrees, and nor quantier, ne have noc lo nice and accu.
rate a distinction ot their differences, as to perceire, or find rars to mea-
Ture cheir just Equalier, or the least Differences. For thole other simple
Edeas, beins Appearances or Sensations, produced in us by the size, Fi
Sure, Number, and Motion of minare Corpuseles linsly insensiblo, their
different decrees also depend upon the variation ot lome, or aIl ot thole
Causes; utrich tince it carnot Be obserred by us in Parricles ot Matter,
erhereot
BC