THIS work here undertaken differs somewhat in its scope and design from systems of Logic which have hitherto been given to the world. The Aristotelian Logic is simply the method of deduction and, as such, it is complete. Subsequent works, in so far as they have been strictly logical, have closely copied the great master, and have confined them-selves to an exhibition of the deductive principles and processes. Now, the deductive method comprehends merely the laws which govern inferences or conclusions from premises previously established. These premises may, in their turn, be inferences from other premises, and so on, to certain extent and just so far this method is all sufficient. But it is evident that the evolution of premises and conclusions, and conclusions and premises, must have limit. There must be premises which are not conclusions from other premises, but which arise in some other way. THE TERM Philosophy in common usage has obtained an indefinite and often an improper application. When em ployed alone, and without relation to any specific subject, it is generally supposed to refer to natural science and thus “Treatise, or Essay, or Lecture, on Philosophy”, would be expected to embrace something relating to “Mechanics, Astronomy, Chemistry, Electricity, or Magnetism”. Some undoubtedly would go beyond this and regard the term in its higher applications, as expressing something in relation to the doctrines of the intellectual and moral powers or they would simply identify it with Metaphysics, term no less vague and obscure to common apprehension. It is to be expected that the affirmation will at first appear to many paradoxical, that “Mechanics, Astronomy, Chemistry", are not branches of Philosophy but in the end it will appear perfectly just. Philosophy indeed holds close and most important relation to these sciences they are grand results of philosophy but they are not philosophy it

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