Logic; Or, The Analytic of Explicit ReasoningPutnam, 1901 - 266 Seiten |
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Seite 29
... figures . These are known as Euler's symbols , and are extremely convenient and universally used by logicians . A universal affirmative proposition is expressed by a circle contained in a circle , the former representing the subject ...
... figures . These are known as Euler's symbols , and are extremely convenient and universally used by logicians . A universal affirmative proposition is expressed by a circle contained in a circle , the former representing the subject ...
Seite 86
... figure , a + b + c = A ( Euclid , Book I. , Prop . XXXII . ) . For But a + b + c ' ( Ib . , Prop . XXIX . ) . = b ' = b c ' = c . Hence , substituting equivalents , a + b ' + c ' = a + b + c = A . Q. E. D. 2d Example . Thesis . - The ...
... figure , a + b + c = A ( Euclid , Book I. , Prop . XXXII . ) . For But a + b + c ' ( Ib . , Prop . XXIX . ) . = b ' = b c ' = c . Hence , substituting equivalents , a + b ' + c ' = a + b + c = A . Q. E. D. 2d Example . Thesis . - The ...
Seite 89
... figure , in the isosceles triangle A B C the angles a and c are equal . The figure is constructed by producing the equal sides A B and AC to D and E , making the lines A D and A E equal , and by drawing the lines BE and D C ...
... figure , in the isosceles triangle A B C the angles a and c are equal . The figure is constructed by producing the equal sides A B and AC to D and E , making the lines A D and A E equal , and by drawing the lines BE and D C ...
Seite 104
... Figures of the Syllogism $ 94 . MOODS Of the SyllogISM . — The syl- logism is said to be in different moods , according to the occurrence and arrangement in it of the several forms of the proposition - A , E , I , and O ; as , e . g ...
... Figures of the Syllogism $ 94 . MOODS Of the SyllogISM . — The syl- logism is said to be in different moods , according to the occurrence and arrangement in it of the several forms of the proposition - A , E , I , and O ; as , e . g ...
Seite 105
... FIGURES of the SyllogISM . - Again , syllogisms are said to be of different figures , according to the position of the ... figure , where the middle term is the subject of the major and the predicate of the minor premise ; the 2d , where ...
... FIGURES of the SyllogISM . - Again , syllogisms are said to be of different figures , according to the position of the ... figure , where the middle term is the subject of the major and the predicate of the minor premise ; the 2d , where ...
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Häufige Begriffe und Wortgruppen
abstract accident affirmative proposition analysis apodictic applied argument Aristotle assumed called the Fallacy Celarent class denoted common commonly consists constitute construed contradictory copula corresponding defined definition Dictum de Omni distinction distinguished doctrine equal equation equivalent Equivocation essential example exclusively fact Fallacy of Accident false fictitious figure formal former genus gism Hence Hobbes Ignoratio Elenchi illicit assumption illicit substitution included inference intuitively Irrelevant Conclusion judgment kind lacies language latter Laws of Thought logical processes logicians mankind Material Fallacies mathematical meaning middle term minor premise Moral Sciences nature negative proposition nonsensical Not-X notions or concepts observed obviously opinions osition perceived political predicate principle prop ratiocination rational reductio ad absurdum regarded relations of terms Secundum Quid sense significative relation simply sion Sovereignty species Subcontraries syllogism theory things thought tion true truth universal affirmative vocal Whately words Y is X
Beliebte Passagen
Seite 90 - If two triangles have two sides of the one equal to two sides of the...
Seite 236 - He was bred to the law, which is, in my opinion, one of the first and noblest of human sciences ; a science which does more to quicken and invigorate the understanding, than all the other kinds of learning put together ; but it is not apt, except in persons very happily born, to open and to liberalize the mind exactly in the same proportion.
Seite 16 - And the most part of men, though they have the use of reasoning a little way, as in numbering to some degree, yet it serves them to little use in common life, in which they govern themselves, some better, some worse according to their differences of experience, quickness of memory, and inclinations to several ends; but specially according to good or evil fortune, and the errors of one another. For as for 'science,' or certain rules of their actions, they are so far from it that they know not what...
Seite 230 - A servant who was roasting a stork for his master, was prevailed upon by his sweetheart to cut off a leg for her to eat. When the bird came upon table, the master desired to know what was become of the other leg. The man answered, that storks had never more than one leg.
Seite 215 - Fallacy of division;" the term which is first taken collectively being afterwards divided; and vice versa. The ordinary examples are such as these ; all the angles of a triangle are equal to two right angles: ABC, is an angle of a triangle; therefore ABC, is equal to two right angles.
Seite 233 - For some part of the inestimable benefit of that book has, merely on account of its title, reached to many thousands more than, I fear, it would have done, had he called it (what it is merely) a grammatical Essay, or a Treatise on Words or on Language.
Seite 235 - But when they knew that he was a Jew, all with one voice about the space of two hours cried out, Great is Diana of the Ephesians.
Seite 13 - The syllogism consists of propositions, propositions of words, words are the signs of notions. If therefore the notions (which form the basis of the whole) be confused and carelessly abstracted from things, there is no solidity in the superstructure. Our only hope, then, is in genuine induction.
Seite 216 - But I have understanding as well as you; I am not inferior to you: yes, who knows not such things as these?
Seite 18 - First I say, you must not despond, Athenians, under your present circumstances, wretched as they are; for that which is worst in them as regards the past, is best for the future. What do I mean ? That your affairs are amiss, men of Athens, because you do nothing...