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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 -


affirm the C. Some authorities also hold that If we affirm one alternative, we must deny the remainder," but this view is vigorously disputed by other authorities. It would seem to be a valid rule in cases where the term " either " appears as: "A is either B or C," because there seems to be an implication that one or the other alone can be true. But in cases like: "A is B or C," there may be a possibility of both being true. Jevons takes this tatter view, giving as an example the proposition: "A Magistrate is a Justice-of-the-Peace, a Mayor, or a Stipendiary Magistrate," but it does not follow that one who is a Justice-of-the-Peace may not be at the same time a Mayor. He states: "After affirming one alternative we can only deny the others if there be such a difference between them that they could not be true at the same time." It would seem that both contentions are at the same time true, the example given by Jevons illustrating his contention, and the proposition " The prisoner is either guilty or innocent" illustrating the contentions of the other side.

A Dilemma is a conditional syllogism whose

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