The Logic of Sir William Hamilton, Bart

Moore, Wilstach & Baldwin, 1865 - 280 páginas

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Página 99 - ... and from the parts to the whole, in the quantity 5 ° siai " a ' of extension, or from the whole to the parts and from the parts to the whole, in the quantity of comprehension. In each quantity there is a deductive, and in each quantity there is an inductive, inference ; and if the reasoning under either of these two quantities were to be omitted, it ought, perhaps, to have been the one which the logicians have exclusively cultivated.
Página 57 - process of tunnelling, of tunnelling through a sand-bank. " In this operation it is impossible to succeed, unless " every foot, nay almost every inch in our progress, be " secured by an arch of masonry, before we attempt the " excavation of another. Now, language is to the mind " precisely what the arch is to the tunnel.
Página 55 - ... out of relation to any concrete or individual realities, their relative nature at once reappears; for we find it altogether impossible to represent any of the qualities expressed by a concept, except as attached to some individual and determinate object, and their whole generality consists in this, that though we must realize them in thought under some singular of the class, we may do it under any.
Página 138 - Syllogism (auXXofiafM^) seems originally, like ratio, to have denoted a computation — an adding up ; and, like the greater part of the technical terms of Logic in general, was borrowed by Aristotle from the mathematicians. This primary meaning of these two words...
Página 58 - Now, language is to the mind precisely what the arch is to the tunnel. The power of thinking and the power of excavation are not dependent on the word in the one case, on the mason-work in the other; but without these subsidiaries, neither process could be carried on beyond its rudimentary commencement.
Página 42 - Tertii), enounces that condition of thought which compels us, of two repugnant notions, which cannot both coexist, to think either the one or the other as existing. Hence arises the general axiom — Of contradictory attributions, we can only affirm one of a thing ; and if one be explicitly affirmed, the other is implicitly denied.
Página 24 - It would be enough to say and show, that the inference in question involved a circulus in concludendo, and the refutation is at once understood and admitted. It is in like manner that one lawyer will express to another the ratio decidendi of a case in a single technical expression ; while their clients will only perplex themselves and others in their attempts to set forth the merits of their cause. Now, if Logic did nothing more than establish a certain number of decided and decisive rules in reasoning,...
Página 24 - But the naming of their tools, though in itself of little value, is valuable as the condition of an important function, which, without this, could not be performed. Words do not give thoughts ; but without words, thoughts could not be fixed, limited, and expressed. They are, therefore, in general, the essential condition of all thinking worthy of the name. Now, what is true of human thought in general, is true of Logic and Rhetoric in particular. The nomenclature in these sciences is the nomenclature...
Página 69 - We then recognize mountains, plains, houses, trees, animals, etc., that is, we discriminate these objects as wholes, as unities, from each other. But their parts, — the manifold of which these unities are the sum, — their parts still lose themselves in each other ; they are still but indistinctly visible. At length, when the daylight has fully sprung, we are enabled likewise to discriminate their parts ; we now see distinctly what lies around us. But still we see as yet only the wholes which...
Página 13 - The object thought of; and, 2°, The kind and manner of Thought, thinking it. Let us, employing the old and established technical expressions, call the first of these the matter, the second the form, of the thought. For example, when I think that the book before me is a folio, the matter of this thought is book and folio, the form of it is a judgment...

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