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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 -


by deductive reasoning. The latter may be said to be facts which are held to be true if the hypothesis be true. Thus if we erect the hypothesis that "All men are mortal," we may reason deductively that it will follow that each and every thing that is a man must die sooner or later. Then we test our hypotheses upon each and every man whom we may subject to observation and experiment. If we find a single man who does not die, then the test disproves our hypotheses if on the contrary all men (the "facts" in the case) prove to be mortal, then is our hypotheses proven or established. The deductive reasoning in this case is as follows: "If so-and-so is true regarding such-and-such a class and if this particular thing belongs to that class then it will follow that so-and-so is true regarding this particular thing." This argument is expressed in what is called a Hypothetical Proposition (see Chapter IX), the consideration of which forms a part of the general subject of Deductive Reasoning. Therefore as Jevons has said, "Deductive Reasoning is the Third Step in Inductive Reasoning, and precedes Verification", which we have already

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