## The elements of deductive logic |

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Page xvi

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**Disjunctive**§ 2. Conjunctive Syllogisms § 3.**Disjunctive**Syllogisms § 4. The Dilemma . 107 109 III . 114 CHAP . VI . On the words Most , ' xvi CONTENTS . Page 107

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**disjunctive**. Besides the improper use of so that the truth of one depends on the falsity Complex (Hypothetical) Propositions and Syllogisms Division of Complex Propositions into Conjunctive and**Disjunctive**. Page 108

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**Disjunctive**. Thus we may give as instances of Conjunctive Propositions : - If ( or When , Where , Provided that , & c . ) A is B , C is D ; If A is not B , C is D ; If A is not B , C is not D ; If A is B and C is D , E is F ; If A is B ... Page 109

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**disjunctive**proposition , when analysed , con- tains four conjunctive propositions , each of which may be reduced to a simple proposition . Thus , ' Either A is B , or C is D ' is equivalent to the four conjunctive pro- positions : If A ... Page 111

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**Disjunctive**Syllogisms . A**Disjunctive**Syllogism is a syllogism of which the major premiss is a**disjunctive**, and the minor a simple proposition . We may indeed combine two**disjunctive**propositions , and draw conclusions from them , but ...### Other editions - View all

### Common terms and phrases

abstract terms act or operation affirmed or denied ambiguity analysis argument Aristotle asserted attribute or group called CHAPTER collective term College common terms conclusion conjunctive consequently copula Crown 8vo deductive inference defined definition differentia disjunctive disjunctive proposition disjunctive syllogism distinction distinguish distributed distribution of terms division Edited employed English Euathlus fallacy formerly Fellow fourteenth legion genus gism group of attributes group of individuals human ignoratio elenchi immediate inference inasmuch incorrect thoughts induction instances language legitimate Logic logicians major premiss meaning minor Molière moods negative Note noticed older logicians ordinary Oriel College Oxford P. G. TAIT particular premiss permutation Philosophy poets predicate probably proposition reasoning rectilineal figure regarded relation Roman senate rules saw yesterday shews simply singular and collective singular or collective singular term Socrates species student subaltern subject and predicate substantive syllogism tenth legion term expressive tion true universal verb virtue

### Popular passages

Page 115 - If A is B, C is D ; and if E is F, G is H ; But either C is not D, or G is not H ; Therefore either A is not B, or E is not F.

Page 137 - to allow every man an unbounded freedom of speech must always be, on the whole, advantageous to the State ; for it is highly conducive to the interests of the Community, that each individual should enjoy a liberty perfectly unlimited, of expressing his sentiments.

Page 62 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...

Page 158 - In a higher world it is otherwise; but here below to live is to change, and to be perfect is to have changed often.

Page 143 - 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.

Page 5 - Logic is both a science and an art ; it is a science inasmuch as, by analyzing the elements, principles, and structure of arguments, it teaches us how to discover their truth or detect their fallacies, and point out the sources of such errors. It is an art, inasmuch as it teaches...

Page 99 - Barbara, Celarent, Darii, Ferioque, prioris; Cesare, Camestres, Festino, Baroko, secundae; Tertia, Darapti, Disamis, Datisi, Felapton, Bokardo, Ferison, habet ; Quarta insuper addit Bramantip, Camenes, Dimaris, Fesapo, Fresison.

Page 132 - ... which, as already noticed, is one case of the fallacy of ambiguous terms. Thus to argue, because there are certain points of resemblance between the development of the individual and the development of the race, that, therefore, since the individual dies, the race will probably die also, or, because there are certain points of resemblance between the earth and the other planets, that, therefore, the other planets are certainly, or very probably, inhabited, would both be instances of false analogy,...