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" Syllogisms; and the axioms or canons by which their validity is to be proved: viz. first, if two Terms agree with one and the same third, they agree with each other: second, if one Term agrees and another disagrees with one and the same third, these two... "
Outline of a New System of Logic: With a Critical Examination of Dr. Whately ... - Page 156
by George Bentham - 1827 - 287 pages
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Introduction to logic, from dr. Whately's 'Elements of logic'.

Samuel Hinds (bp. of Norwich.) - Logic - 1827 - 190 pages
...the rules of logic, being enumerated in natural order. their validity is to be proved : viz. first, if two terms agree with one and the same third, they agree with each other : secondly, if one term agrees and the other disagrees with one and the same third, these two disagree...
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Introduction to logic, from dr. Whately's 'Elements of logic'.

Samuel Hinds (bp. of Norwich.) - Logic - 1827 - 196 pages
...the rules of logic, being enumerated in natural order. their validity is to be proved : viz. first, if two terms agree with one and the same third, they agree with each other : secondly, if one term agrees and the other disagrees with one and the same third, t/tese two disagree...
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A treatise on logic, on the basis of Aldrich

John Huyshe - Logic - 1827 - 376 pages
...same part of Y is referred to in the two first propositions : Dr. Whately's first canon says, that, " if two terms agree with one and the SAME third, they agree with one another." Now, as it has been shown, nothing proves that this Y is one and .the same in both propositions...
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Elements of Logic

Richard Whately - Logic - 1831 - 440 pages
...categorical syllogisms; and the axioms or canons by which their validity is to be explained: viz. first, if two terms agree with one and the same \, third, they agree with each other: secondly, if one term agrees and another disagrees with one and the same third, these two disagree...
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Elements of Logic: Comprising the Substance of the Article in the ...

Richard Whately - Logic - 1832 - 386 pages
...the rules of logic, being enumerated in natural order, third, they agree with each other : secondly, if one term agrees and another disagrees with one...the same third, these two disagree with each other. On the former of these canons rests the validity of affirmative conclusions ; on the latter, of negative...
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Elements of Logic: Comprising the Substance of the Article in the ...

Richard Whately - Logic - 1834 - 482 pages
...: viz. first, if two terms agree with one and the same third, they agree with each other: secondly, if one term agrees and another disagrees with one and the same third, these two disagree with * Instead of following Aldrich's arrangement, in laying down first the canons which apply to all the...
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American Quarterly Review, Volume 22

Robert Walsh - United States - 1837 - 504 pages
...mind which takes place in reasoning. The great fundamental principles of the syllogism are, first, if two terms agree with one and the same third, they agree with each other ; secondly, if one term agrees, and another disagrees with one and the same third, these two disagree...
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Remarks on mathematical or demonstrative reasoning:its connexion with logic ...

Edward Tagart - Logic - 1837 - 156 pages
...axioms or canons by which the validity of pure syllogisms is to be explained are these ; viz. first, if two terms agree with one and the same third, they agree with each other; secondly, if one term agrees and another disagrees with one -and the same third, these two disagree...
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Logic: Or, The Art of Reasoning Simplified. With Exercises on a Variety of ...

S. E. Parker - Logic - 1837 - 344 pages
...syllogism '!* 136. Q. 22. If two terms agree with the same middle term, what is your inference? 137. Q. 23. If one term agrees, and another disagrees with one and the same middle term, what is your inference ! 138. * Q. 24. What are called the extremes of a syllogism 1 Q....
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Logic, or the Art of Reasoning simplified, etc

S. E. PARKER - Logic - 1838 - 340 pages
...138.) If two terms agree with one and the same middle term, they agree with each other. (Art. 139.) If one term agrees, and another disagrees with one and the same middle term, these two disagree with each other. 1 . On the former of these Canons rests the validity...
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