A treatise on logic, on the basis of Aldrich

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Página 147 - Things that are equal to the same are equal to each other. " (B) The two sides of this Triangle are things that are equal to the same. " (Z) The two sides of this Triangle are equal to each other.
Página 12 - MAN, that is born of a woman, hath but a short time to live, and is full of misery. He cometh up, and is cut down like a flower ; he fleeth as it were a shadow, and never continueth in one stay.
Página 3 - Judgment is the comparing together in the mind two of the notions (or ideas) which are the objects of Apprehension, whether complex or incomplex, and pronouncing that they agree or disagree with each other : (or that one of them belongs or does not belong to the other.) Judgment, therefore, is either affirmative or negative.
Página 146 - Reasoning by which we deduce, from our observation of certain known cases, an inference with respect to unknown ones, we are employing a Syllogism in Barbara with the major' Premiss suppressed; that being always substantially the same, as it asserts that "what belongs to the individual or individuals we have examined, belongs to the whole class under which they come...
Página 31 - Caesar that he is an animal, I say the truth indeed, but not the whole truth; for he is not only an animal, but a man ; so that " man," is a more full and complete expression than
Página 112 - In the second figure the middle term is the predicate of both premises : in the third...
Página 27 - ... species or genus, being both the genus of magnet, and a species of mineral. " That is the most strictly called a property, which belongs to the whole of a species, and to that species alone; as polarity to the magnet. [And such a property it is often hard to distinguish from the differentia; but whatever you consider as the most essential to the nature of a species, with respect to the matter you are engaged in, you must call the differentia; as
Página 28 - ... seems to be a result of rationality.] But very many properties which belong to the whole of a species are not peculiar to it ; as, " to breathe air" belongs to every man, but not to man alone ; and it is, therefore, strictly speaking, not so much a property of the species "man...
Página 87 - ... argument can have no weight with him. If he be ; if he perceive in almost every page the language of a mind actuated by real occasions, and operating upon real...
Página 23 - The fact is, the notion expressed by a common term is merely an inadequate (or incomplete) notion of an individual ; and from the very circumstance of its inadequacy, it will apply equally well to any one of several individuals : eg if I omit the mention and the consideration of every circumstance which distinguishes jEtna from any other mountain, I then form a notion (expressed by the common term mountain...

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