ONT Re: Hermeneutic Equivalence Classes
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
HEC. Note 11
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| Leibniz, "Elements of a Calculus" (cont.)
|
| 16. Hence we can also know by symbolic numbers which term does not
| contain another; for we have only to test whether the number
| of the latter can divide exactly the number of the former.
|
| For example, if the symbolic number of man is assumed to be 6, and
| that of ape to be 10, it is evident that neither does the concept
| of ape contain the concept of man, nor does the converse hold,
| since 10 cannot be exactly divided by 6, nor 6 by 10.
|
| If, therefore, it is asked whether the concept of the wise man is
| contained in the concept of the just man, i.e. if nothing more is
| required for wisdom than what is already contained in justice, we
| have only to examine whether the symbolic number of the just man
| can be exactly divided by the symbolic number of the wise man.
| If the division cannot be made, it is evident that something
| else is required for wisdom which is not required in the just
| man. (This "something else" is a knowledge of reasons; for
| someone can be just by custom or habit, even if he cannot give
| a reason for the things he does.) I will state later how this
| minimum which is still required, or, is to be supplied, can also
| be found by symbolic numbers.
|
| Leibniz, 'Logical Papers', p. 22.
|
| 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).
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o