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Looks Can Be Deceiving





The bellboy has $2, bringing the total up to $29. Where is the missing $1? The correct response to this question is that since all three people paid $9 each, we are looking at a total of $27. The manager has $25 for the room while the bellboy has $2 for himself. The bellboy’s $2 should be added to the manager’s $25 or subtracted from the tenant’s $27, not added to the tenant’s $27. The existence of a paradox is proof that either, at least one of the propositions are false, or the logic used to arrive at the paradox is false, at which point you do not really have a paradox. As stated previously, there really is no such thing as a paradox, for its own existence proves that the assumptions it is based on are wrong. (Internet 5) Searching For Answer’s A survey was composed in order to demonstrate the extent of comprehension that the general public has in terms of paradoxes. Ten individuals, whom of which ranged from the ages 16-42, answered the questionnaires. The survey consisted of five paradoxes that were randomly chosen, each individual was given an opportunity to choose from one of three responses (yes, no, or uncertain) for each paradox. The survey showed that 32% responded yes, 16% responded no and 46% responded uncertain to the ten questions that were asked. These results justify that the individuals, who answered yes to most of the questions, were tricked by false propositions. These individuals ignored common sense and allowed themselves to be deceived. Moreover, the majority of individuals who answered no to most of the questions were aware that the paradoxes were somewhat misleading. However, they were unable to explain any further.

 

Also, the questions that were answered with an uncertain apparently left the individuals pondering. Survey Results In Chart Form Number of answers which fall in each category Individual Yes No Uncertain Person #1 4 0 1 Person #2 3 1 1 Person #3 3 1 1 Person #4 2 2 1 Person #5 1 2 2 Person #6 2 0 3 Person #7 3 0 2 Person #8 0 1 4 Person #9 0 0 5 Person #10 1 1 3 Total 19/50 8/50 23/50 Percentages 38% 16% 46% Survey Results Represented On A Pie Graph Conclusion Paradoxes Survey Question 1: Acceptance Percentages for College A and College B College A College B Accepted Rejected Total Percent Accepted Accepted Rejected Total Percent Passing Women 400 250 650 61% 50 300 350 14% Men 50 25 75 67% 125 300 425 29% Total 450 275 725 175 600 775 Do the women have reason to claim sexual discrimination against the university? a) Yes. Explain: b) No. Explain: c) Uncertain Question 2: An Arrow In Flight One can imagine an arrow in flight, toward a target. For the arrow to reach the target, the arrow must first travel half of the overall distance from the starting point to the target. Next, the arrow must travel half of the remaining distance. For example, if the starting distance was 10m, the arrow first travels 5m, then 2.5m. If one extends this concept further, one can imagine the resulting distances getting smaller and smaller. Will the arrow ever reach the target? (2) a) Yes. Explain: b) No. Explain: c) Uncertain Question 3: Does Two Equal One? Assume that a = b. (1) Multiplying both sides by a, a² = ab.

 



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