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40. Let / be "one is able to do logic," j be "one is fit to serve on a jury." s be "one is sane," and y be "he is your son." (a) Everyone who is sane can do logic. (b) No lunatics are fit to serve on a jury. (e) None of your sons can do logic. (d) Give a conclusion that yields a valid argument.

40. Let / be "one is able to do logic," j be "one is fit to serve on a jury." s be "one is sane," and y be "he is your son." (a) Everyone who is sane can do logic. (b) No lunatics are fit to serve on a jury. (e) None of your sons can do logic. (d) Give a conclusion that yields a valid argument.

Advanced Engineering Mathematics
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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can you please do problem 40

Lewis Carroll Exercises 39-44 are from problems in Lewis Carroll's book Symbolic Logic. Write each premise in symbols, w UL C then give a conclusion that uses all the premises and yields a a valid argument. Source: The Complete Works of Lewis Carroll. 39. Let d be "it is a duck," p be "it is my poultry," o be "one is an officer," and w be "one waltzes." (a) No ducks waltz. (b) No officers ever decline to waltz. (c) All my poultry are ducks. (d) Give a conclusion that yields a valid argument. 40. Let / be "one is able to do logic," j be "one is fit to serve on a jury." s be "one is sane," and y be "he is your son." (a) Everyone who is sane can do logic. (b) No lunatics are fit to serve on a jury. (c) None of your sons can do logic. (d) Give a conclusion that yields a valid argument. 41. Let h be "one is honest." p be "one is a pawnbroker." b be "one is a promise breaker," I be "one is trustworthy," c be "one is very communicative," and w be "one is a wine drinker." (a) Promise breakers are untrustworthy. (b) Wine drinkers are very communicative. (c) A man who keeps his promise is honest. (d) No teetotalers are pawnbrokers. (Hint: Assume "teetotaler" is the opposite of "wine drinker.") (e) One can always trust a very communicative person. () Give a conclusion that yields a valid argument.
Transcribed Image Text:Lewis Carroll Exercises 39-44 are from problems in Lewis Carroll's book Symbolic Logic. Write each premise in symbols, w UL C then give a conclusion that uses all the premises and yields a a valid argument. Source: The Complete Works of Lewis Carroll. 39. Let d be "it is a duck," p be "it is my poultry," o be "one is an officer," and w be "one waltzes." (a) No ducks waltz. (b) No officers ever decline to waltz. (c) All my poultry are ducks. (d) Give a conclusion that yields a valid argument. 40. Let / be "one is able to do logic," j be "one is fit to serve on a jury." s be "one is sane," and y be "he is your son." (a) Everyone who is sane can do logic. (b) No lunatics are fit to serve on a jury. (c) None of your sons can do logic. (d) Give a conclusion that yields a valid argument. 41. Let h be "one is honest." p be "one is a pawnbroker." b be "one is a promise breaker," I be "one is trustworthy," c be "one is very communicative," and w be "one is a wine drinker." (a) Promise breakers are untrustworthy. (b) Wine drinkers are very communicative. (c) A man who keeps his promise is honest. (d) No teetotalers are pawnbrokers. (Hint: Assume "teetotaler" is the opposite of "wine drinker.") (e) One can always trust a very communicative person. () Give a conclusion that yields a valid argument.
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