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" But again (to prove both the obnoxious propositions summarily and at once) — what objection, apart from the arbitrary laws of our present logical system, can be taken to the following syllogism ? All man is some animal. Any man is not (no man is) some... "
The Principles of Logic: For High Schools and Colleges - Page 97
by Aaron Schuyler - 1869 - 168 pages
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Discussions on Philosophy and Literature, Education and University Reform ...

Sir William Hamilton - Education - 1852 - 848 pages
...Therefore, some animal is not some animal." Vary this syllogism of the third, to any other figure ; it will always be legitimate by nature, if illegitimate...Taking it, however, as it is : —The negative minor, with its particular predicate, offends logical prejudice. Bnt it is a prepositional form, irrecusable,...
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Discussions on Philosophy and Literature, Education and University Reform ...

Sir William Hamilton - Education - 1853 - 828 pages
...Therefore, some animal is not some animal." Vary this syllogism of the third, to any other figure ; it will always be legitimate by nature, if illegitimate...Taking it, however, as it is : — The negative minor, with its particular predicate, offends logical prejudice. But it is a prepositional form, irrecusable,...
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Discussions on Philosophy and Literature, Education and University Reform

Sir William Hamilton - Education - 1855 - 810 pages
...Therefore, some animal is not some animal." ' Vary this syllogism of the third, to any other figure ; it will always be legitimate by nature, if illegitimate to unnatural art. Taking it, however, an it is : — The negative minor, with its particular predicate, offends logical prejudice. But it...
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An Outline of the Necessary Laws of Thought: A Treatise on Pure and Applied ...

William Thomson - Logic - 1860 - 322 pages
...naturally employ in dividing a whole of any kind into parts : — "Some A is not some A." And is thia form — that too inconsistently — to be excluded...Taking it, however, as it is : — the negative minor premiss, with its particular predicate, offends logical prejudice. But it is a proposition irrecusable...
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Discussions on Philosophy and Literature, Education and University Reform ...

Sir William Hamilton - Education - 1861 - 816 pages
...Therefore, some animal is not some animal." Vary this syllogism of the third, to any other figure ; it will always be legitimate by nature, if illegitimate...Taking it, however, as it is : — The negative minor, with its particular predicate, offends logical prejudice. But it is a propositional form, irrecusable,...
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The Principles of Logic: For High Schools and Colleges

Aaron Schuyler - Logic - 1869 - 180 pages
...from the arbitrary laws of our present logical system, can be taken to the following syllogism ? Ail man is some animal. Any man is not (no man is) some...negative minor premise, with its particular predicate, oifends logical prejudice. But it is a proposition irrecusable; both as true in itself, and as even...
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Outlines of Logic

Joseph Henry Gilmore - Logic - 1888 - 160 pages
...following syllogism ? — $/ All man is tome animal ; U Any man is not (no man is) some animal ; 1^ Therefore some animal is not some animal. Vary this...negative minor premise, with its particular predicate, offcnda logical prejudice. But it is a proposition irrecusable, both as true in itself, and as even...
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