1000000031

M E T A P

ti:

Y S

e s.

or his mind •• nd potlibly c.nno, be rccnlIc.'hd: B\1 ' he ,hofe proo(s••nd

apply ,hem right,

,hat \Vhieh i.

know~

ddrel'tnt way

from

Wh¡H he did

bd of C.

c.tlled

¡;,cnci~),.

n .lInely, out

lhe

intcrvt"nlion of thoh:

iotrrnu:cll:u e

TllIs knowledgC', thongh

be cenaio,

¡,

nal

clear

;deul,

wltereby the

"grccnlt:nt

or (11[;\6' e.cmr.:nt 01 thofe in anc.l evidcnt as

IIII"iliv~

knowledge.

require.s pains

th';:

prorofiti on .....as al

ti d l

perc, ived.

bur

t. y

remel1lbring.

anJ auention,

and Iteady

applicatinn of

mind,

d,fcover

; .

knowing that h e w;u once

ccnain

0'(

lhe trmh of lhe

agrl!t mcnt

or difagrecment of the

ideol

conriders ,

Ihi5 propolitlon. th;n lhe (h ree angles of

t riitn~le

are e-

tl.nd

there muf1 be a progreffion

n eps and degrees, be–

q ua)

uva

right

one~ .

')'he illlmut",billt y'Ot [he fame ,(ore lhe mind can in this way arrive'al ce:rtainty. Before

rchuions

belw~en

the (ame im01Utablc things . is no\V the demonHr.ttion lhere was .a doubt, which, in

¡'J1u¡'¡'U~

id~'a

thar {hews him, thal if thc ·threc: anglts óf a tri..

n~le lnlYl.u/~dgc,.

cannot happen

lhe mind that has its facu l ...

"'ere once cqu." to [\Vo right ones, they wd¡ al \Vays be ty o f perceplion lefl

l O

a degree c""pable of din-inét

¡¿eDI,

fo. And hene!! he COmes tO be cenai n, [hal wha[ was no more th.n it can be a doubt to lhe eye (thal can diC·

once

lrUC,

is al J.·ays [fue; whal

id(:al

oncc agreed

will tintlly Cee

while

and

-blacA.)

whether thir; ink aad paper

al \Vays agree; and conCequently. what he once knew to be ..

of a colour.

be true, he will ahvays know to be true. as long as he

Now, io every fiep that rearon makes in

d~mol1firaliv~

can 1"emembl.!r .that he once knew it.

Ano'UJlulge,

therc: is ao

inluilive Ano'UJ/edge

of that agree ..

meot or diragreement it rceks with the next intermediate

th~ d~gre(l

our

l.no

'UJ/~dg~.

idea ,

which it \lees

a proof ; (or

il \Vere DOt fo, that

ALL our knowlcdge coolilling in

d~e

vicw the mind has .yet would need a proof; (ince wtlhout the perception of

of its o\Yn

iduIJ.

whieh is the mmon light anel greaten rpch agreement a r difagreemeoc, there is

0 0

knowledge

certainty we are capdble of, lhe

differ~nt

clcarl1cfi

our

produced . By which it Is evident. that every llep in rea ...

An~"I.vledge

reems to lie io the difFerent way of percep1ion foning. thal produces knowledge, h::a!

inJuilille certoinly :

the minJ. Itas of the agreement or difagrecmen l of any of which when che mind perceives , lhere is no more requí.

iduJ/.

red but tO remember it, to make the agreement Or difa ...

When (he mind perceive:s this agrcement or difagree. greemcnt of the

ideal

concerniog 'which we ioquire vilible

ment of two

idulJ imnudial!/y

lhemfelves, without aod cenaio. This

intuíliue

p~rccpti~n

of the agreement

the intervention of any other, we may call it

intlliliv~

or difagreement of [he intcrmediate

ideal

in each Hep and

lllo'W/edge;

in wbich cafes the mind percei\'es trmh, . progreffion of lhe demonllration, mull aIró be exaélly

as lhe eye does light. only by bei ng d ireél:ed towards ¡t. carried in the mind; and aman mull be fure that no part

Thusthemindperceive!,that'Whit~isll'Jl b/acl.;

that/hree

is left out; which becaufe in long deduélion!

th~

me–

are 1IlGre Ihon

t 'UJO,

and.~quallo

olle and t'UJO.

T his-part mory callnot eafily retain, this knowledge becomes more

of knowledge is irrefiHib!e, and, Jike lhe bríght fun ·{hine, impcrfeét tlua

inluilíve,

and m: n often embrace falfe:·

forces ¡trelf immediately to be perceived

roon as ever hoods for demonHrations .

thc mind turns ilS view that way _

is on this

inluition

has been generall y take:n for grantcd, that

malhtma–

that depends aH the

cert~inty

and evidence of our other

t jC/u

alone are capable of dcmonll rati\;e certaioty. But

know)edge; which certainty every one linds to be ro to have fuch an agreement or diragreemcnt as may be

in·

greal, that he cannot imagine, and lherefore nm require

luílivtly

percei\'ed, being not the priv,lege of lhe

idfa/oE

a grealer.

IlIl1l1ber,

ext~l1ji()lJ,

aod

figu re

aloce, iI may poffibly be

T he next dcgrce of knowlcnge, is, wllere the mind fhe wanl of due method and applicatian io us, and DOt oE

perceive.s not thlS agreement or difagreemcnt immediate· ruJTicient evidence in things, that demonnration 'has been

IYt or by

thcju ..a a.pojilion,

as it wcre, or lhe

id(ol,

be· . thought to have (o litde lodo in olher p.uts ofkDowledge :

caufe lhofe

idfQJ

concerning whofe agrcement or difagree· For in whatever

ideQI

the miad can perce:ive lhe agree ...

mcnI lhe inquiry is made, can:lot by the Inind be fo pU l ment or dirJgreemcnt

ímm~diatcly,

there iI is capable

(Q~ethe r,

as to fhew

it.

I n lhi, o::are lhe mind is fond to

intuilivt knowlt.·dge:

A nd wheTe it can

perce~ve

the a...

d¡feove r lh e otgreemen l or

difagr~emcO[

whích it fearches, greement o r difagrc:erDent of any t\Vo

¡d~(7J,

by an

intui...

by the intervention of other

ide¡J1

A nd this is that which

ti:u

perc~plhm

of the agreement or difagreemen t

uley

we calJ

rea!ol.itÍg.

And thus, if we would know the a· h ave with any

intc:rm~diate

iJ"oI,

there the mind is capa...

gret ment or difagreerncnt in bigncfs, bctwt:<n (he three ble or demonflr.l.tion which is not limited to the

idenl

angles of a lri..

nc.ll.

!, and twO

ri~l1t

anglt:s. \'le cannOl

ligure , numbcr , e:<ten(ion, or their mojes. The rea–

an iOlmedlate view and companng theOl do il ; becaufe fon why it has becn generally rurpofed

bdong ro them

lhe three

an~,1es

of a t(iangle Clonot be brul1ght al once, only, is,

b~'caure

in comparing lhcir cquJlity

exeefs

and be compared wi to any other onc ur t\Yo an:- IC::5. .

J\ nd

lile

1IJod~J

o/l1l1 '11b.:n

have f! ve ry lhe lean JdFc::rcnee very

fo of this the mind

h~s

r.o imOlcdiate or

intuitiv~

kno\V· ele'r ami perecí\'ablc : And in

~xl('!fi'.

t.hough every

ledge. HUl we muH find out (a me othcr angll!s. ro which

th~

IcaH c>i:ct"fs is not ro percepti ble, yet lhe mind has

the three angles of a tri?ngle hJ'/e

~qu~l ily;

and findi ng fouod t)ut w:\ ys tO difco\'er tl1'! juH equ.\lity of

t\Vo

otngle!,

thofcc:cplal tot\'lorígIIIoncs', \\'c comc lOknow lhc e'llla li1y cx[cnfion<;, or ligurts ; and both, that is, numbers aod

of thde thr::t: anglt:s to

IWO

ri&ht

on'~s .

1 '!1o(1!

ínra'1c.ning figures .

e.ln

!JI!

[ct down by ,,¡I¡blc and I.dling marks .

id~al

wl.ich ' [erve to (he\\!

he ..

~rce:n{ nl

c f a:ly two OlIH:rs

l:htt in od\.:r (¡m pi\!

i,h:tJ.

who:c modes and d¡fFerences

zre calh.d

/,rr-o/s ;

and whcrc lh..: ar,n:c:mUH or die.gree. ar\! Ololde Jnd count..:d by dcgrccs. anJ.-41ot quantity, we

m~fI1

this mf'an5 plainl y

an~l

el :

~rI)'

r :'rcei" eJ. i1 is h.l\'C n'11 h1 nic.! and ac,,:ur,\tc:

ti.

Jinl n~lioll

of their difTc:r–

c.:ih:J

dCIII, ;¡flrlllioll.

cp1!d:.~:.:Cs

in lhe

mllll.t

!inu

cn.cs

¡aS

to Pl rcc:in.: or find \":J)'s

mc:a(urc their jurl

equality.

•