A Text-book of Deductive Logic: For the Use of Students |
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Page 17
... false ; and if ' A is not - B ' be true , then ' A is B ' must be false . For example , a leaf cannot , at the same time , be ' green ' and ' not - green ' ; if it is ' green , ' it cannot , at the same time , be ' not - green ' ( see p ...
... false ; and if ' A is not - B ' be true , then ' A is B ' must be false . For example , a leaf cannot , at the same time , be ' green ' and ' not - green ' ; if it is ' green , ' it cannot , at the same time , be ' not - green ' ( see p ...
Page 18
... false ; taking A as before to mean one and the same individual thing , and using the term B in the same sense in both , the two propositions ' A is B ' and ' A is not - B ' are contradictory and cannot both be false ; if one be false ...
... false ; taking A as before to mean one and the same individual thing , and using the term B in the same sense in both , the two propositions ' A is B ' and ' A is not - B ' are contradictory and cannot both be false ; if one be false ...
Page 19
... false ; and if the proposition ' A is B ' be false , then ' A is not - B ' must be true ; if ' A is not - B ' be false , then ' A is B ' must be true . According to the two principles , therefore , the truth of one con- tradictory ...
... false ; and if the proposition ' A is B ' be false , then ' A is not - B ' must be true ; if ' A is not - B ' be false , then ' A is B ' must be true . According to the two principles , therefore , the truth of one con- tradictory ...
Page 20
... false ( Law of Excluded Middle ) ; one must be false , and the other true . If all the things belonging to the class A are , however , individually considered , that is , if ' A ' be taken as standing , at the same time , for a single ...
... false ( Law of Excluded Middle ) ; one must be false , and the other true . If all the things belonging to the class A are , however , individually considered , that is , if ' A ' be taken as standing , at the same time , for a single ...
Page 52
... false , and if one be false , the other must be true , of one and the same thing . For example , both the terms ' organized being ' and ' not - organized being ' cannot be affirmed of one and the same thing , nor can both be denied of ...
... false , and if one be false , the other must be true , of one and the same thing . For example , both the terms ' organized being ' and ' not - organized being ' cannot be affirmed of one and the same thing , nor can both be denied of ...
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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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