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An Essay Concerning Humane Understanding, fol. 168

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.

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The machine reads it as

  1. Distinet and confused Ideas.
  2. his Ideas FO Fhat Degree, Without LOsInS SigHF OF them, let him add ten
  3. Exphers to cach oF ehose Numbers; For thac ill brins it no Rearer che
  4. end of intinite Division, than the Airst hals docs. I must consels tor my
  5. Part, Lhave no clear, distinct Ldeas ofthe ditterent Dull, or Extention ot
  6. those Bodies, havins but a vers obscure one ot cither of chem. Sothat, l
  7. chine, When re talkoF Dirision oF Podies in insinirum, our Idea oF their
  8. distinet BulKS Or Fxtension, Wrhieh is che Subject and Foundation oE Divi-
  9. sions, comes to be consounded, and almost lost in Obscurier. POr tat Idea,
  10. Wrhich is eo represene ony Bixnels, multbe very obscure and contused, rtrick
  11. We cannot distinguitt trom one ren times as bis, but ouly by Number:
  12. Co chat ehrare clear, distinet Ideas, we may laz of Pen and Onc, buE no
  13. distinet Ideas OF FVO TuCH FXTensiOnS.Fis plain From hence, chat when
  14. We talk os infinite Dirisibility oP Bod, or Extension, our distinet and clear
  15. Ideas are enty of Numbers: but the clear, distinst Tdeas OF FXLenSIOM, aEFOr
  16. Lome Prosrels of Dirision, is quite los: and of luch minure Parts, ve have
  17. no distinet Ldeas at all; bur it returns, as aIl our Ideas of intinite do, at
  18. last eo that oF Number alirars to De added; buE thereBY neveE aIOUMISLO
  19. any distinct Idea oF actual, infinite Parrs. Wehare, tis true, a clear Idea
  20. Ot Division, as olter. as e will think ofic: but thereby re hare no more
  21. a Elear Idea ot infinito Parrs in Matter, than e have a clear Ldea OF an in-
  22. finite Number, by beins able still eo acd ner Numbers to any astigred
  23. Number rehare: endless Divisibiliey sirine us no more a clear and di-
  24. Rinct Idea oF actually intinite Parrs, than eneless Addibilier (is Imay (0
  25. Speak) sires us a clear anddistinct idea oF an actually intinire Number:
  26. ther bochbeins onlr in a Porver sill of increasins theNumber, be ic alrea-
  27. dy 25 great as it Will. Sotharofwhar remainsto be added, (Whercin consilts
  28. the Tntinier, ) re have but an obleure, impertect, and contuled Idea; trom
  29. Or abour irhich re can argue, or reason witle no Certainer or Clcarne(S, n0
  30. more than re can in Arithmeticks, about a Number os wvhrich ve have no
  31. Tuch distinct Ldea, a5 e hare OF 4 or 400; bur onty this relative obseure
  32. one, that compared to anz other, it is sill bigger: and re have no more
  33. a clear, Politire Idea ol ic, When re lay or conceire it is bisger, or more
  34. than 400, 000, 000, than il re Bould lay, it is bisger than 40, Or
  35. 4: 4000,000, 000, havine nonearer a proportion to the end ot Addition,
  36. or Number, than q. For hechat adds onls 4 t0 4, and so procccds, MaI
  37. as soon come ro the end oF all Addition, as hethat adds 100, 000, 000, +0
  38. 400,000,000. Arid (o litemise in Fterriier He Fhar Ras an Idea eF but tour
  39. rears, has as much a polutire compleat Idea oE liternies, 25 HC that has
  40. onc oF 400,000, 000oF Vcars: For what remains of Fternier berond ci.
  41. ther ot these tro Numbers oF Vears, is as clearto the one as the otter;
  42. 1. e. neicher oEthem has any clear positive Ldea ot it at aII. FOr he Fat
  43. adds onty 4 Pears to 4 and so on, all as Toon reach Fternier, as he
  44. that adds 400000,000oF Vcars, and (0 on; or it he please, doubles the
  45. Increase as Otten as he Will: The remainins AByIS beins RiIl as tar be-
  46. rond the end oF all these Progrestions, as it is trom the lenothOt a DaY,
  47. Or aN FTOUT. For nochins Anite, bears anr proxortion co intinite; and
  48. thereforeour Ideas, Whichare all finire, Cannot DCaP anY. ThuS it is al.
  49. So in our Idea ot Fxtension, When re increase it br Addition, as ell as
  50. Wrtren e diminis ic by Dirision, and rould enlaros our Thoughs toin-
  51. Anite Space. After a Per doublinos ot those Ideas ot Extension, which are
  52. the larsest re are accustomed to hare, re lose the clear distinct Idea ot
  53. that Space: ic becomes a contusedly great onc, with a Surplus oF sill grer-
  54. ter; about rhich, When re rould aroue, or reason, we hall alvars find
  55. our sclres at a lols; consuled Ideas in our Arguinss, and Deductions tro
  56. Ehiem, alrass leadins us into contusion.
  57. CAAP.

Cite

An Essay Concerning Humane Understanding, fol. 168. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/778263916:0184?run=74