...of total sameness in which a product of the thinking faculty, be it concept, judgment, or reasoning, stands to all, and the relation of partial sameness...it stands to each, of its constituent characters. This principle is the special application of the absolute equivalence of the whole and its parts taken...

...total sameness, in which, a product of the thinking faculty, be it concept, judgment, or reasoning, stands to all, and the relation of partial sameness, in which it stands to ea«h, of its constituent characters. This principle is the special application of the absolute equivalence...

...total sameness in par. xrv. Law of which a concept stands to all, and the relaIdentity. r . ' . . tion of partial sameness in which it stands to each, of...reciprocally unlike. It is expressed in the formula A is f A, or A=.A; and by A is denoted every logical thing, every product of our thinking faculty, — concept,...

...stands to all, and the relaIdentity. . r tion of partial sameness in winch it stands to each, of ifs constituent characters. In other words, it declares...unlike. It is expressed in the formula A is A, or A — A / and by A is denoted every logical tiling, every product of our thinking faculty, — concept,...

...Reason. Of these in their order. partial%imenesMt which it stands to each, of its constituent champers. In other words, it declares the impossibility of thinking...concept and its characters as reciprocally unlike. It is H XIV. The principle of Identity (principium Par. xiv. Identitatis) expresses the relation of total...

...Identity (principium P«T. xiv. Identitatis) expresses the relation of total same- identity. ness in which a concept stands to all, and the relation of partial sameness in which it stands a See Appendix V. — ED. LECT. to each, of its constituent characters. In other : — words, it declares...

...total sameness, in wThich, a product of the thinking faculty, be it concept, judgment, or reasoning, stands to all, and the relation of partial sameness,...it stands to each, of its constituent characters. This principle is the special application of the absolute equivalence of the whole and its parts taken...

...referred to are : I. " The Principle of Identity, which expresses the relation of total sameness in which a concept stands to all, and the relation of...sameness in which it stands to each, of its constituent parts. Its formula is A=A." Hamilton, p, 57. The formula may also be stated : A = (Ai) ; A _ A. T 4...

...: ' The Principle of Identity (Principium Identitatis) expresses the relation of total sameness in which a concept stands to all, and the relation of...concept and its characters as reciprocally unlike.' (Here we are introduced to a third Principle, — that of similarity, which is limited to the Category...

...: ' The Principle of Identity (Principium Identitatis] expresses the relation of total sameness in which a concept stands to all, and the relation of...other words it declares the impossibility of thinking fhe concept and its characters as reciprocally unlike.' (Here we are introduced to a third Principle,...