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# Title: An Essay Concerning Humane Understanding (shelfmarks Leibn. Marg. 38; ZEN Leibn. Marg. 38)
# Folio 100, page id 778263916:0116
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Number.
cessari distinct Names are to Numberine, Wichout pretendins eo intro-
duce ne ones ot iny invention.
6. Z. Thus Chileren, cither FOP WanE OF Names eo Mark the severat
Prosrestions of Numbers, or nor havins ret the facultr to collect scarte.
red Ideas into complex ones, and ransethem to a regular Order, and (0
retain ehem in their Memories, as is necellari toreckionine, do not begin
to number verr carly, nor proceed in it verr far or Acadils, rill a500d
While alter cher aro Well furnishred Wich 500d RtOre OF OrHer Tacas: and
one may often observe them in discourle ard reason preter ell, and
hare very clear conceptions of several ocher things, belore ther can test
20. And Iome, chroush the detault ot cheir Memories, Wvho cannocretain
the several Combinations of Numbers, Writh cheir Names annexed intheir
distinct orders, and thedependence of so lons atrain of numerat Proore
Sions, and their relation one to another, are nor able all their lite rime,
to reckon or regularir s0 over ani moderate series ot Numbers. For he
chat ill COnnE Fventy, or hare anr Idea oF that Numiber, must HnoW
Fhat Nineceen ent betore, ith che distinct Name or Sion ot everr one
OFthem, as ther stand marked in their order; for Where ever this Fails,
a sap is made, the Chain breates, and the Prooress in num berins can s0
no farther. So that +o reckon rieht, it is required F. Fhat ehe Mind di-
Singui caretulIY erro Ideas, Which are ditlerent one trom another onty
Dy che addirion or Cubtraction of one Vnite. 2. Fhat it recain in me-
ory the NamCS, Or MarHS, OF the several Combinations trom an Onite
tothat Number; and chatnoc contusedr, and at randorm, but in chat
exact order, that the Numibers follon one another; in citter, ol ertrieh il
it erips, tlie ertiole businels oF Nunibrins ill be ditturbed, and chere
rill remain only ehe contused idea ol mulcitude, Dur the Ideas necessary
to diltinct numeration, Will not be attained +0
5. 8. This Carther is observable in Number, Thac it is that Wtich che
Mind makces ule ot, in measarins al thines thac by us are measurable,
erhich principally are Expansion and Durarion; and our Pdea oF Intinity,
eren. ertren applied cothose, seoms to be nothine Duc the Intinier ot Num
Ber. For Wtrat elle are our Ideas oP Fternier and Iminensur, But the re
peated additions of certain Ideas oF imagined Parts oF Space and FXpan-
sions or. Duracion, wich the Intinits of Number, in Wrhich we can come
tono end of Addition. For such an inexhraustible Aock, NumBer, OF aII
ocher our Fdeas, most clearls Furnistres us rith, as is obrious tO every OnC:
For let a Man collect into one Sum, as sreat a Nurriber as he pleales, tliis
Multitude, horr great Poerer, lesens not one jot the vorer ol’addine to
it, or brines him any nearer the end of theinexhraustible Rock ot Numiber,
here Aillchere remains as much to De added, as it none nere raten out.
And this endless addition ot Numbers, so apparent to the Mind, is that,
Lchinte, Wluch sives us ihe clearest and most distinet idea o lnlinis;
oF mhich more in chcfolowins Chapter.
BO