8. Check the valid ity of following argumentIf I play, I will not lose the match.If I do not Study then I will play.But I lost the matchThen I must have studied

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Answered: 8. Check the valid ity of following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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There are fallacies associated with conditional statements. The three most common are Fallacy of the Converse, Fallacy of the Inverse, and Misuse of Hypothetical Syllogism (see link below!). Pick one of these and create an argument to show why it is incorrect.
8. For each of these arguments determine whether the argument is correct or incorrect and explain why. a) Everyone enrolled in the university has lived in a dormitory. Mia has never lived in a dormitory. Therefore, Mia is not enrolled in the university. b) A convertible car is fun to drive. Isaac's car is not a convertible. Therefore, Isaac's car is not fun to drive. c) Quincy likes all action movies. Quincy likes the movie Eight Men Out. Therefore, Eight Men Out is an action movie. d) All lobstermen set at least a dozen traps. Hamilton is a lobsterman. Therefore, Hamilton sets at least a dozen traps.
Which is the contrapositive of the implication, "If the car has gas, then it will run"? (a) If the car has no gas, then it will not run. (b) If the car will not run, then it has no gas.
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4. Let P be "It is humid" and let Q be "sum of 9 and 11 is 21". Give a simple verbal sentence which describes each of the following statements: (a) ¬Q, (b) P V Q, (c) (¬P) ^ Q, (d) (¬P) V (–¬Q).

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8. Check the valid ity of following argument If I play, I will not lose the match. If I do not Study then I will play. But I lost the match Then I must have studied