An Essay Concerning Humane Understanding, fol. 98
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The machine reads it as
- CHIAF. X
- Of Number.
- S. L. A MonSstalthe Ldeas We hare, as there is none suggested to the
- L Mind By more ways, so there is none more simple than that os
- Onity, or One, it has no thacon of Variety nor Compolition in it:
- everr Objectour Senses are emplored about; everr Ldea in our Vnder-
- Candinos; every Thouohe ol our Minds brinss chis idea aloris withit:
- And theretore it is the most intimate to our ThoughtS, a5 Wellas it is in
- its Rorcement to all other things, the most univertal Idea re have: POr
- Number applies it selF to Men, Angels, Actions, ThoughEs, cvery thins,
- that cither doth exist, or ean beimagined.
- 5. 2. By repeatins this Ldea in our Minds, and addins the Reperitions
- togethier, ere come by the complex Ideas of the Modes of it. Thus by ad
- dins one to onc, re hare the complex Idea oF tro; by puttins ervelve
- Onites together, we have the complex Idea oF a dozen; and (0 Ot a Score,
- Or a Milion, Or any other Number.
- 5.3. The simples modes of Numberare of all ocher the most distinct; every
- che least Variation, wrhich is an unite, mateins each Combination, as elcar-
- ls different srom that which axproacheth nearest to it, as the most re-
- mote; tro beins as diltinet trom one, as Tvohundred; and the Ideas ot
- Tro, as dictinc trom the Idea ot Three, as theMagnitude oF the wrhole
- Farchi is trom that ot amice. This is not so in other simple Modeo, in
- ertrich it is not (0 easie, nor, perhaps, possible for us ro distinguistr becvixt
- erro approaching ideas, Which vet are really different. P’or who will
- underrake to Aind à difference betmeen the white of this Paper, and that ol
- ehe next decrocto it: Or can form diltinct Sdeas of every thelcast excess
- in Fxconsion.
- 5. 4. The Clearnels and Distinctness of each mode of Number Trom all 0.
- ahers, oven thole that approach nearest, alles me apt ro chintc, that De-
- monstrations in Numbers, il chiey are not more evident and exact than in
- Excension, ret they are more general in their ule, and more dexerminate
- in their Application. Becaule ehe Ldeas ot Numbers are more precile, and
- dictinguictrable than in Extension; irhere erory Equalies and tixcels aro
- not localie to De observed, or mealured, becaule our Ptroughes cannot in
- Space arrire at any determined smallnels berond wrtrich it cannot 50, a5 in
- at nite; and cherolore the quantits or proportion ol ans the least fix
- cess cannet be discovered, irtrich is clear otherrise in Number, Where, as
- hasbeen said, qr is as distinguithable trom 90, a5 Froni g000, thouch, or
- bethe next immediate Fxcels to 90. Burit isnor lo in Extension, vrhere
- ertatsoever is more than just a POor, or an Tneh, ismot distinguithable trom
- the Standard oF a FoOr, or an Inch; and in Fines ertrich appear of an c.
- qual lensch, one may be longer than the ocher by innumerable Parts: NOr
- canans one assion an Angle, wtrich Mall be the next bisgest to a right
- Onc. V.
- S. 3. By EhC rEPCaLINS, as Has Been lasa bFthe Idea of an Onito, and
- joining it coanoeher Onite, we matre thereot one collective Idea, mar-
- ked by the Name Pno. And wholoever ean do this, and proceed on,
- Still addino one more eo ehe las collectire Laea he had of any Number,
- ard eire aName 0 ie may counc, or have Ldeas sor severul Collections ot
- Onites,
Cite
An Essay Concerning Humane Understanding, fol. 98. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/778263916:0114?run=74