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William Atkinson's

Art Of Logical Thinking

Book page numbers, along with the number to the left of the .htm extension match the page numbers of the original books to ensure easy use in citations for research papers and books


1 - Reasoning - 2 - Process of Reasoning - 3 - The Concept - 4 - The Use of Concepts - 5 - Concepts and Images - 6 - Terms - 7 - Meaning of Terms - 8 - Judgments - 9 - Propositions - 10 - Immediate Reasoning - 11 - Inductive Reasoning - 12 - Reasoning by Induction - 13 - Theory and Hypotheses - 14 - Making and Testing Hypotheses - 15 - Deductive Reasoning - 16 - The Syllogism - 17 - Varieties of Syllogisms - 18 - Reasoning by Analogy - 19 - Fallacies -


negative; that is, its hypothetical proposition may either hypothetically affirm or hypothetically deny. The part of the premise of a Hypothetical Syllogism which conditions or questions (and which usually contains the little word " if "} is called the Antecedent. The major premise is the one usually thus conditioned. The other part of the conditioned proposition, and which part states what will happen or is true under the conditional circumstances, is called the Consequent. Thus, in one of the above examples: "If dogs have four feet" is the Antecedent; and the remainder of the proposition: " they are quadrupeds" is the Consequent. The Antecedent is indicated by the presence of some conditional term as: if, supposing, granted that, provided that, although, had, were, etc., the general sense and meaning of such terms being that of the little word "if." The Consequent has no special indicating term.

Jevons gives the following clear and simple Rules regarding the Hypothetical Syllogism:

I. "If the Antecedent be affirmed, the consequent may be affirmed. If the Consequent be denied, the Antecedent may be denied."

page scan

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