A Text-book of Deductive Logic: For the Use of Students |
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Page 21
... included in this . For the Principle of Contradiction , Mill gives the following postulate : " The affirmation of any assertion , 4 and the denial of its contradictory are logical equivalents , which it is allowable and indispensable to ...
... included in this . For the Principle of Contradiction , Mill gives the following postulate : " The affirmation of any assertion , 4 and the denial of its contradictory are logical equivalents , which it is allowable and indispensable to ...
Page 50
... included in its denotation ; thus the circle representing the denotation of the term ' metal ' may go on increasing with the progress of discovery in chemistry . Or some substances that are now recognized as metals may turn out to be ...
... included in its denotation ; thus the circle representing the denotation of the term ' metal ' may go on increasing with the progress of discovery in chemistry . Or some substances that are now recognized as metals may turn out to be ...
Page 52
... included in the genus C are called co - ordinate species . In the figure on page 54 , the three sub- classes A , B and C contained in the class G are , similarly , co - ordinate species of the genus G ; and the terms A , B , and C are ...
... included in the genus C are called co - ordinate species . In the figure on page 54 , the three sub- classes A , B and C contained in the class G are , similarly , co - ordinate species of the genus G ; and the terms A , B , and C are ...
Page 53
... included in one or other of the two all - embracing classes , has existence neither in nature nor in thought . / But if two terms be so related to each other , that both cannot be affirmed , but that both may be denied , of one and the ...
... included in one or other of the two all - embracing classes , has existence neither in nature nor in thought . / But if two terms be so related to each other , that both cannot be affirmed , but that both may be denied , of one and the ...
Page 59
... included in the denotation of one dividing term , should not be included in the denotation of another . The violation of this rule gives rise to the fault of over - lapping division . I shall illustrate the above rules by a few examples ...
... included in the denotation of one dividing term , should not be included in the denotation of another . The violation of this rule gives rise to the fault of over - lapping division . I shall illustrate the above rules by a few examples ...
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Common terms and phrases
abstract terms accidens affirmed or denied animal antecedent applicable assertory attri attribute connoted axioms belong called categorical propositions categorical syllogism circle co-existence collection of attributes College concepts concrete consists contrapositive converse copula corresponding Deductive Logic definition differentia disjunctive proposition Edited elements example excluded existence expressed fallacy false falsity figure former genus given proposition gives rise Hamilton heat hypothetical proposition immediate inference implies individual thing Inductive Inductive Reasoning judgment latter laws of thought logicians major premiss many-worded material bodies meaning men are mortal metals middle term Mill's minor mortal negative not-A not-B not-P objects of thought obverse particular phenomena phenomenon possessed predicate principles probability quantity rational reasoning regarded relation represented rules signified Similarly singular sition species subalternation subcontrary subject and predicate substance syllogistic Theory of Predication things denoted third triangle true truth Ueberweg universal universal propositions valid moods violated by inferring words
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