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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 -


categorical, and the consequent of the hypothetical proposition as the predicate of the categorical. In some cases this change is a very simple one; in others it can be effected only by a circumlocution."

The third class of syllogisms, known as The Disjunctive Syllogism, is the exception to the law which holds that all good syllogisms must fit in and come under the Rules of the Syllogism, as stated in the preceding chapter. Not only does it refuse to obey these Rules, but it fails to resemble the ordinary syllogism in many ways. As Jevons says: "It would be a great mistake to suppose that all good logical arguments must obey the rules of the syllogism, which we have been considering. Only those arguments which connect two terms together by means of a middle term, and are therefore syllogisms, need obey these rules. A great many of the arguments which we daily use are of this nature; but there are a great many other kinds of arguments, some of which have never been understood by logicians until recent years. One important kind of argument is known as the Disjunctive Syllogism, though it does not obey the rules of the

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