...divided ; and when a thing is divided, the parts are only so many as the division makes them. Again, that a part of a part is a part of the whole ; and thus any part of the numberyb«r, as two, is a part of the number eight ; for Jour is VOL. i....

...free agent contains under it morally responsible agent, and that the latter contains under it man, we, on the principle that a part of a part is a part of the whole, are compelled to think that free agent contains under it man. The relations given above are in the...

...contains under it parts or more particular concepts, it follows, again, on the axiom or self-evident truth that a part of a part is a part of the whole, — an axiom which, you will hereafter see, constitutes the one principle of all Deductive reasoning,...

...contains under it parts or more particular concepts, it follows, again, on the axiom or self-evident truth that a part of a part is a part of the whole — an axiom which, you will hereafter see, constitutes the one principle of all Deductive reasoning...

...already been said, that every Syllogism may be regarded as an application of the general and self-evident principle, that a part of a part is a part of the whole. If, in the application of this principle, we do not stop at the first or proximate whole, but, before...

...part of P. We are thus led to another mode of enunciating the governing principle of all Syllogisms, that a part of a part is a part of the whole ; or, as Leibnitz expresses it, contentum contenti est contentum continentis. This principle agrees...

...syllogism contains !a. The major term (P), the predicate of the conclusion. b. The minor term (S), the subject of the conclusion. 2d. The middle term (M),...is P. // \\ All M is contained under P. All S is M. ( ( ©77 AH S is contained under M. .-.All Sis P. v^X .'. All S is contained under P. 2. In comprehensive...

...this argument, as an argument, 2. Three '1st. The proposi- < tious. premises. 2d. The com nf fff\ and free agent; that is, the class of responsible agents...generalize and symbolize this argument, thus : All M is P. /f~\\ All M is contained under P. All S is M. ( (0T/ All Sis contained under M. /.All Sis P. \^^/ .--...

...responsible agent, is contained under the concept, free agent; that is, the class of responsible agenta is a species of which the class of free agents is...generalize and symbolize this argument, thus : All M is P. (/ V\ All M is contained under P. All S is M. ( (0T/ All Sis contained under M. /.All Sis P. x^^x •'•...

...responsible agent ; but the notion responsible agent comprehends in it the notion free agent ; therefore, on the principle that a part of a part is a part of a whole, the notion man also comprehends in it the notion free agent. But it is clear to me that in...