First Notions of Logic Preparatory to the Study of Geometry
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In our eReader you can find the full English version of the book. Read First Notions of Logic Preparatory to the Study of Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book First Notions of Logic Preparatory to the Study of Geometry
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4. From premises both particular no conclusion can be drawn. This is sufficiently obvious when the first or second rule is broken, as in ' Some A is X, Some B is X. ' But it is not immediately obvious when the middle term enters one of the premises universally. The following reasoning will serve for exercise in the preceding results. Since both premises are particular in form, the middle term can only enter one of them universally by being the predicate of a nega- tive proposition ; consequentl...y (Rule 3) the other premiss must be affirmative, and, being particular, neither of its terms is universal. Consequently both the terms as to which the conclusion is to be drawn enter partially, and the conclusion (Rule 2) can only be a particular affirmative proposition. But if one of the premises be negative, the conclusion must be negative (as we shall immediately see). This con- tradiction shews that the supposition of particular premises producing a legitimate result is inadmissible.
5. If one premiss be negative, the conclusion, if any, must be nega- tive.
What to read after First Notions of Logic Preparatory to the Study of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by De Morgan Augustus to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
4. From premises both particular no conclusion can be drawn. This is sufficiently obvious when the first or second rule is broken, as in ' Some A is X, Some B is X. ' But it is not immediately obvious when the middle term enters one of the premises universally. The following reasoning will serve for exercise in the preceding results. Since both premises are particular in form, the middle term can only enter one of them universally by being the predicate of a nega- tive proposition ; consequentl...y (Rule 3) the other premiss must be affirmative, and, being particular, neither of its terms is universal. Consequently both the terms as to which the conclusion is to be drawn enter partially, and the conclusion (Rule 2) can only be a particular affirmative proposition. But if one of the premises be negative, the conclusion must be negative (as we shall immediately see). This con- tradiction shews that the supposition of particular premises producing a legitimate result is inadmissible.
5. If one premiss be negative, the conclusion, if any, must be nega- tive.
What to read after First Notions of Logic Preparatory to the Study of Geometry?
You can find similar books in the "Read Also" column, or choose other free books by De Morgan Augustus to read onlineMoreLess
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