ONT Re: Hermeneutic Equivalence Classes
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| Leibniz, "Elements of a Calculus" (cont.)
|
| 10. Two terms which contain each other
| and are nevertheless equal I call
| "coincident".
|
| For example, the concept of a triangle
| coincides in effect with the concept of
| a trilateral -- i.e. as much is contained
| in the one as in the other.
|
| Sometimes this may not appear at first sight,
| but if one analyses each of the two one will
| at last come to the same.
|
| 11. Two terms which contain each other [one the other?] but do not coincide
| are commonly called "genus" and "species". These, in so far as they
| compose concepts or terms (which is how I regard them here) differ
| as part and whole, in such a way that the concept of the genus is
| a part and that of the species is a whole, since it is composed
| of genus and differentia.
|
| For example, the concept of gold and the concept of metal
| differ as part and whole; for in the concept of gold there
| is contained the concept of metal and something else -- e.g.
| the concept of the heaviest among metals. Consequently, the
| concept of gold is greater than the concept of metal.
|
| Leibniz, 'Logical Papers', p. 20.
|
| 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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