ONT Re: Hermeneutic Equivalence Classes
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| Leibniz, "Elements of a Calculus" (cont.)
|
| 14. What we have just said about terms which, in various ways, contain
| or do not contain each other, let us now transfer to their symbolic
| numbers. This is easy, since we said in article 4 that when a term
| helps to constitute another, i.e. when the concept of the term is
| contained in the concept of another, then the symbolic number of
| the constituent term is a factor of the symbolic number to be
| assumed as standing for the term to be constituted; or, what
| is the same, the symbolic number of the term to be constituted
| (i.e. which contains another) is divisible by the symbolic number
| of the constituent term (i.e. which is in the other).
|
| For example, the concept of animal helps to constitute the concept of man,
| and so the symbolic number of animal, 'a' (e.g. 2), together with another
| number 'r' (such as 3), will be a factor of the number 'ar', or 'h' (2 x 3,
| or 6) -- namely, the symbolic number of man. It is therefore necessary
| that the number 'ar' or 'h' (i.e. 6) can be divided by 'a' (i.e. by 2).
|
| Leibniz, 'Logical Papers', p. 21.
|
| Leibniz, G.W., "Elements of a Calculus" (April, 1679),
| G.H.R. Parkinson (ed.), 'Leibniz: Logical Papers', pp. 17-24,
| Oxford University Press, London, UK, 1966. (Couturat, 49-57).
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