Predicate Logic1. Suppose that predicates and individuals are defined as follows:S: should be shunnedU: is prone to unruly behaviorJ: is a friend of JaynieM: is a friend of mined: dyosellee: eremySymbolize the following statements:a. Dyoselle is a friend of Jaynie and Eremy is a friend of mine.b. Anyone who is a friend of Jaynie is not a friend of mine.c. Some of my friends are friends of Jaynie and some of Jaynie's friend are prone to unrulybehavior.а.b.с.

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Answered: Predicate Logic 1. Suppose that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Write the converse, inverse, and contrapositive of the following proposition. Of these four propositions, state which pairs are equivalent. If it is raining, then it is warm outside Identify the converse. Choose the correct answer below. O A. If it is warm outside, then it is raining. O B. If it is not raining, then it is not warm outside. O C. If it is raining, then it is not warm outside. O D. If it is not warm outside, then it is not raining. Identify the inverse. Choose the correct answer below. O A. If it is not warm outside, then it is not raining. B. If it is warm outside, then it is raining. C. If it is raining, then it is not warm outside. O D. If it is not raining, then it is not warm outside. Identify the contrapositive. Choose the correct answer below. O A. If it is raining, then it is not warm outside. OB. If it is not warm outside, then it is not raining. OC. If it is not raining, then it is not warm outside. O D. If it is warm outside, then it is raining.
FORMAL LOGIC 1. Construct a valid argument in English the validity of which can be captured in first-order predicate logic but not in propositional logic. 2. a. Translate the argument into propositional logic (L1). b. Translate the argument into first-order predicate logic (L3). PS: a. Specify the key clearly in each translation. b. Let the translations be as expressive as possible (i.e., make every possible logical operator explicit). 3. Show that the argument loses its validity when translated into propositional logic using a truth- table.
A restaurant that is famous for its desserts offers 100 different dessertst Of these desserts, 45 contain chocolate, 30 contain nuts, and 20 contain both chocolate and nuts. You are allergic to both chocolate and nuts. How many different desserts can you order such that the dessert has neither chocolate nor nuts?
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Which of the following statements is the contrapositive of the statement, "You win the game if you know the rules but are not overconfident." Select one: a. A necessary condition that you know the rules or you are not overconfident is that you win the game. O b. If you know the rules and are overconfident then you win the game. O c. A sufficient condition that you win the game is that you know the rules or you are not overconfident. O d. If you lose the game then you don't know the rules or you are overconfident. Oe. If you don't know the rules or are overconfident you lose the game.
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