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LESSON III. How these Common Heads of Notions are to be Divided.
1. THE Differences that divide each Common Head must be Intrinsecal to it. For, since we cannot discourse of two Disparate No∣tions at once; and since were those Heads divi∣ded by Differences that are Extrinsecal to the Common Genus, (or taken from another Head) each Species of it would consist of two Disparate Notions; hence it is absolutely necessary to Science that the Differences which divide these Common Heads be such as belong to no other Common Head, but be within the Limits of that Head, or Intrinsecal to it. Again, since the Dif∣ference is most Formal in constituting the Species, and the Genus only Material; were the Differences Extrinsecal or Borrow'd from another Head, it would follow, that all the Species of the Head divided by such Differences would belong to ano∣ther Head, viz. to that Head whence those Dif∣ferences are taken: Which would put all our Notions into Confusion, and involve a direct Contradiction, as making Substances to be Quan∣tities, Qualities, &c.
2. Intrinsecal Differences can be no other but more and less of the Common Notion: For since, being Intrinsecal, † they cannot be taken from any other Head, it follows, that they must partake of