An Essay Concerning Humane Understanding, fol. 100
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The machine reads it as
- 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
Cite
An Essay Concerning Humane Understanding, fol. 100. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/778263916:0116?run=74