[3] One man learns Mathematics more easily than another, in common language, he has a turn for Mathematics, i e something in his mental conformation answers to that science The Phrenologist shows the bump denoting this aptitude.
[4] And therefore the question resolves itself into this, “What is the work of the Speculative, and what of the Practical, faculty of Reason.” See the description of apetae II. 5.
[5] praxis is here used in its strict and proper meaning.
[6] That is to say, the Will waits upon deliberation in which Reason is the judge; when the decision is pronounced, the Will must act accordingly.
The question at issue always is, Is this Good? because the Will is only moved by an impression of Good; the Decision then will be always Aye or No, and the mental hand is put forth to grasp in the former case, and retracted in the later.
So far as what must take place in every Moral Action, right or wrong, the Machinery of the mind being supposed uninjured but to constitute a good Moral Choice, i e.. a good Action, the Reason must have said Aye when it ought.
The cases of faulty action will be, either when the Machinery is perfect but wrongly directed, as in the case of a deliberate crime, or when the direction given by the Reason is right but the Will does not move in accordance with that direction, in other words, when the Machinery is out of order; as in the case of the [Greek: akrates]—video meliora proboque, Deteriora sequor.
[7] See the note on [Greek: Arche] on page 4, l. 30.
[8] The cobbler is at his last, why? to make shoes, which are to clothe the feet of someone and the price to be paid, i.e. the produce of his industry, is to enable him to support his wife and children; thus his production is subordinate to Moral Action.
[9] It may be fairly presumed that Aristotle would not thus have varied his phrase without some real difference of meaning. That difference is founded, I think, on the two senses of [Greek: orexis] before alluded to (note, p. 53, l. 33). The first impulse of the mind towards Action may be given either by a vague desire or by the suggestion of Reason. The vague desire passing through the deliberate stage would issue in Moral Choice. Reason must enlist the Will before any Action can take place.
Reason ought to be the originator in all cases, as Bishop Butler observes that Conscience should be. If this were so, every act of Moral Choice would be [Greek: orektikos nous].
But one obvious function of the feelings and passions in our composite nature is to instigate Action, when Reason and Conscience by themselves do not: so that as a matter of fact our Moral Choice is, in general, fairly described as [Greek: orexis dianoetike]. See Bishop Butler’s Sermon II. and the First upon Compassion.
[10] The mind attains truth, either for the sake of truth itself ([Greek: aplos]), or for the sake of something further ([Greek: eneka tinos]). If the first then either syllogistically ([Greek: episteme]), non-syllogistically ([Greek: nous]), or by union of the two methods ([Greek: sophla]). If the second, either with a view to act ([Greek: phronesis]), or with a view to make ([Greek: techne]).
Otherwise. The mind contemplates Matter Necessary or Contingent. If necessary, Principles ([Greek: nous]), Deductions ([Greek: episteme]), or Mixed ([Greek: sophla]). If Contingent, Action ([Greek: phronesis]), Production ([Greek: techen]). (Giphanius quoted in Cardwell’s notes.)
[11] It is the opening statement of the Post Analytics.
[12] Aristotle in his logical analysis of Induction, Prior. Analytics II. 25, defines it to be “the proving the inherence of the major term in the middle (i.e. proving the truth of the major premiss in fig. 1) through the minor term.” He presupposes a Syllogism in the first Figure with an universal affirmative conclusion, which reasons, of course, from an universal, which universal is to be taken as proved by Induction. His doctrine turns upon a canon which he there quotes. “If of one and the same term two others be predicated, one of which is coextensive with that one and the same, the other may be predicated of that which is thus coextensive.” The fact of this coextensiveness must be ascertained by [Greek: nous], in other words, by the Inductive Faculty. We will take Aldrich’s instance.
All Magnets attract iron
A B C are Magnets
A B C attract iron.
Presupposed Syllogism reasoning from an universal.
A B C attract iron (Matter of observation and experiment)
All Magnets are A B C (Assumed by [Greek: nous], i.e. the Inductive faculty)
All Magnets attract iron (Major premiss of the last Syllogism proved by taking the minor term of that for the middle term of this.)
Or, according to the canon quoted above: A B C are Magnets. A B C attract iron.
But [Greek: nous] tells me that the term Magnets is coextensive with the term A B C, therefore of all Magnets I may predicate that they attract iron.
Induction is said by Aristotle to be [Greek: hoia phanton], but he says in the same place that for this reason we must conceive ([Greek: noehin]) the term containing the particular Instances (as A B C above) as composed of all the Individuals.
If Induction implied actual examination of all particular instances it would cease to be Reasoning at all and sink into repeated acts of Simple Apprehension it is really the bridging over of a chasm, not the steps cut in the rock on either side to enable us to walk down into and again out of it. It is a branch of probable Reasoning, and its validity depends entirely upon the quality of the particular mind which performs it. Rapid Induction has always been a distinguishing mark of Genius the certainty produced by it is Subjective and not Objective. It may be useful to exhibit it Syllogistically, but the Syllogism which exhibits it is either nugatory, or contains a premiss literally false. It will be found useful to compare on the subject of Induction as the term is used by Aristotle, Analytica Prior. II 25 26 Analytica Post. I. 1, 3, and I. Topics VI I and X.