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" 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. "
The elements of deductive logic - Page 115
by Thomas Fowler - 1867 - 192 pages
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A Guide to Syllogism, Or, A Manual of Logic: Comprehending an Account of the ...

Charles Wesley - Logic - 1832 - 164 pages
...disjunctively denied, in the minor, and the antecedents disjunctively denied, in the conclusion. EG " 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." — " If a witness be an honest one, he will not bear...
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Memoir of ... James Halley [by W. Arnot].

William Arnot - 1842 - 120 pages
...hypothetical which have one or both premises compound. ' In its general form it may be thus expressed : — < If A is B, C is D ; and if E is F, G is H : ' But either A is B, or E is F : ' .'. either C is D, or G is H. («) ' This general form may be modified (although...
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Memoir of the Late James Halley, A.B., Student of Theology

William Arnot - Christian life - 1842 - 432 pages
...hypotheticals which have one or both premises compound. ' In its general form it may be thus expressed : — ' If A is B, C is D ; and if E is F, G is II : ' But either A is B, or E is F : ' .-. either C is D, or G is H. («) ' This general form may...
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Artis logicę rudimenta, from the text of Aldrich, with notes, by H.L. Mansel

Henry Aldrich - 1849 - 248 pages
...antecedent, and a disjunctive minor." Its different forms may be thus exhibited : I. Simple Constructive. If A is B, C is D; and if E is F, C is D; But either A is B, or E is F; .-. CisD. rumque duo (etsi interdum plura) proponit adversario...
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Artis logicę rudimenta, from the text of Aldrich, with notes, by H.L. Mansel

Henry Aldrich - 1852 - 308 pages
...D ; and if E is F, C is D ; But either A is B, or E is F ; . - . C is D. II. Complex Constructive. If A is B, C is D ; and if E is F, G is H ; But either A is B, or E is F ; . • . Either C is D, or G is H. rumque duo (etsi interdum plura) proponit adversario...
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The Science of Logic: Or, An Analysis of the Laws of Thought

Asa Mahan - Philosophy - 1857 - 396 pages
...conclusion disjunctively deny the antecedents, or similarly affirm the antecedents and consequents. 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 ; and, therefore, either A is not B, or E is not F ; or A is B, or E is F ; therefore, either C is...
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The Science of Logic: Or, An Analysis of the Laws of Thought

Asa Mahan - Philosophy - 1857 - 400 pages
...conclusion disjunctively deny the antecedents, or similarly affirm the antecedents and consequents. If A is B, C is D ; and if E is F, G is II. But, either C is not D, or G is not H ; and, therefore, either A is not B, or E is not F ; or A...
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The Elements of Logic: Adapted to the Capacity of Younger Students, and ...

Charles Kittredge True - Logic - 1860 - 188 pages
...contains two or more conditional propositions, and the minor a disjunctive proposition ; as, If A is B, 0 is D, and if E is F, G is H; But either A is B or E is F ; Therefore, 0 is D or G is H. If ^Eschines joined in the public rejoicings he is...
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A treatise on logic, or, The laws of pure thought

Francis Bowen - 1864 - 480 pages
...the Syllogism will be exclusively Hypothetical, as neither Judgment will be disjunctive. Thus : — If A is B, C is D; and if E is F, C is D ; But C is not D ; .•. Then A is not B, and E is not F. The nature of a Disjunction is, that...
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A Treatise on Logic: Or, The Laws of Pure Thought; Comprising Both the ...

Francis Bowen - Logic - 1864 - 480 pages
...Antecedent, and the Subsumption is a Disjunctive of which these several Antecedents are the Disjunct Members. If A is B, C is D ; and if E is F, C is D; But either A is B or E is F ; .-. C is D. Here, the several Antecedents have the same Consequent,...
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