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geometry
videotext, unit I, part F, lesson 4
5
Mathematics
10th Grade
03/02/2011

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Term
fallacy
Definition
an illogical argument based on false reasoning assumptions, poorly defined terms, and/or facts which are not relevant, all leading to a false conclusion. In general, when a person uses a reasoning process that is not correct, we say that there is a fallacy in the process, and that the thinking is fallacious. The word itself comes from a Latin word meaning to deceive.
Term
circular reasoning
Definition
an illogical argument which attempts to prove a statement p, bu assuming at some point in the argument, that p is true. This is called arguing in a circle
Term
reasoning on the converse
Definition
an illogical argument which attempts to use the converse of a true conditional to prove a statement. In other words, if p arrow q is a true conditional, and, in fact, q is true, we still can't proceed to the conclusion that p is true. This is also called asserting the consequent.
Term
denying the premise
Definition
an illogical argument whihc attempts to use the inverse (or negation) of a true conditional to prove a statement. In other words, if p arrow q is a true conditional, and, in fact, p is false or (~p is true), we still cannot proceed to the conclusion that q is false or (~q is true)
Term
faulty analogy
Definition
an illogical argument which attempts to use similarities between two situations, to erroneously conclude that the two situations must be alike in some other way. In other words, just becuase something is true in one situation, doesn't mean that it must be true in other situation
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