Logic, Deductive And Inductive
Logic, Deductive And Inductive
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By thus reducing the Hypothetical Syllogism to the Cate- gorical form, what is lost in elegance is gained in intelligibility.
For, first, we may justify ourselves in speaking of the Hypo- thetical Premise as the Major, and of the Categorical Premise as the Minor; since in the Categorical form they contain respectively the Major and Minor Terms. And, secondly, we may justify ourselves in treating the Hypothetical Syllogism as a kind of Mediate Inference, in spite of the fact that in the Hypothet...ical Syllogism there are not two Terms compared by means of a third ; since in the Categorical form such Terms distinctly appear : a new Term (* This ') emerges in the position of the Minor ; the place of the Middle is filled by the Ante- cedent of the Major Premise in the Modus pofiens^ and by the Consequent in the Modus tollens.
The mediate element of the inference in a Hypothetical Syllogism consists in asserting, or denying, the fulfilment of a given condition. In the hypothetical proposition — If A is B, C is D— the Antecedent, A is By is the conditio sufficiens^ or mark, of the Consequent, C is D ; and therefore the Consequent, C is Dy is a conditio sine qua non of the antecedent, A is B ; and it is by means of affirming the former condition, or else denying the latter, that a conclusion is rendered possible.
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To quickly assess the difficulty of the text, read a short excerpt:
By thus reducing the Hypothetical Syllogism to the Cate- gorical form, what is lost in elegance is gained in intelligibility.
For, first, we may justify ourselves in speaking of the Hypo- thetical Premise as the Major, and of the Categorical Premise as the Minor; since in the Categorical form they contain respectively the Major and Minor Terms. And, secondly, we may justify ourselves in treating the Hypothetical Syllogism as a kind of Mediate Inference, in spite of the fact that in the Hypothet...ical Syllogism there are not two Terms compared by means of a third ; since in the Categorical form such Terms distinctly appear : a new Term (* This ') emerges in the position of the Minor ; the place of the Middle is filled by the Ante- cedent of the Major Premise in the Modus pofiens^ and by the Consequent in the Modus tollens.
The mediate element of the inference in a Hypothetical Syllogism consists in asserting, or denying, the fulfilment of a given condition. In the hypothetical proposition — If A is B, C is D— the Antecedent, A is By is the conditio sufficiens^ or mark, of the Consequent, C is D ; and therefore the Consequent, C is Dy is a conditio sine qua non of the antecedent, A is B ; and it is by means of affirming the former condition, or else denying the latter, that a conclusion is rendered possible.
What to read after Logic, Deductive And Inductive?
You can find similar books in the "Read Also" column, or choose other free books by Read Carveth to read onlineMoreLess
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