An Outline of Logic,: For the Use of Teachers and Students

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Rivingtons, 1871 - Logic - 169 pages
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Page 33 - And out of the ground the LORD God formed every beast of the field, and every fowl of the air; and brought them unto Adam to see what he would call them: and whatsoever Adam called every living creature, that was the name thereof. And Adam gave names to all cattle, and to the fowl of the air, and to every beast of the field; but for Adam there was not found an help meet for him.
Page 99 - What worst relation of subject and predicate, subsists between either of two terms and a common third term, with which one, at least, is positively related ; — that relation subsists between the two terms themselves...
Page 135 - Whately's Logic, 1857, p. 151. Mr. De Morgan, whose extremely able work goes much deeper into the subject than Archbishop Whately's, is, however, content with excluding induction, not from logic, but from formal logic. ' What is now called induction, meaning the discovery of laws from instances, and higher laws from lower ones, is beyond the province of formal logic.
Page 93 - Though justice be thy plea, consider this, That, in the course of justice, none of us Should see salvation: we do pray for mercy; And that same prayer doth teach us all to render The deeds of mercy.
Page 97 - Canon, which has been often erroneously, and never adequately enounced, in rules four, three, two, or one, is as follows : — In as far as two notions (notions proper or individuals), either both agree, or one agreeing, the other does not, with a common third notion ; in so far, these notions do or do not agree with each other.
Page 93 - O, reason not the need ! Our basest beggars Are in the poorest thing superfluous. Allow" not nature more than nature needs, Man's life is cheap as beast's. Thou art a lady; If only to go warm were gorgeous, Why, nature needs not what thou gorgeous wear'st, Which scarcely keeps thee warm.
Page 65 - A it affirms of this, these, all, Whilst E denies of any; I it affirms (whilst O denies) Of some (or few, or many). Thus A affirms, as E denies, And definitely either; Thus I affirms, as O denies, And definitely neither. A half, left semidefinite, Is worthy of its score; U, then, affirms, as Y denies, This, neither less nor more. Indefinito-definites...
Page 87 - Again ; the mathematical postulate, that " things which are equal to the same are equal to one another," is similar to the form of the syllogism in logic, which unites things agreeing in the middle term.
Page 2 - Logic is the art of using reason well in our inquiries after truth, and the communication of it to others.
Page 116 - ... forms of argument, not less natural than the syllogism itself, which do not require to be reduced to syllogisms to show their correctness, just as we know ice to be ice without reducing it to the needle-shaped crystals with which freezing commences. Of this kind is the Sorites. Three or more premisses in which the predicate of each is the subject of the next, with a conclusion formed from the first subject and last predicate of the premisses, have been called a Sorites, or accumulating argument,...

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