What rules of inference where used for each of the following arguments?(a) Kangaroos live in Australia and are marsupials. Therefore, kangaroos are marsupials.(b) Linda is an excellent swimmer. If Linda is an excellent swimmer, then she can work as a lifeguard. Therefore, Linda can work as a lifeguard.Please type your answer in the space provided.

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Answered: What rules of inference where used for…

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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Use the Venn diagram to determine the validity of the argument.Some chemistry classes are difficult.Anna’s class is easy.Therefore, Anna’s class is not chemistry.
Given that the given simple components are propositions presented in the situations of the first column, in the second column write the inference that can be deduced then write what rule have used in the third column. Situation Inference Rule Used 1. Either I shall have a drink or I eat. But, I ate. 2. If I love to eat broccoli then I am a vegetarian. But, I am not a vegetarian. 3. If I will play basketball then I will be sprained. If I will be sprained then I will stay at home.
Translate into symbolic form and check for validity of the following argument: • No good car is cheap • An Omnex is not a good car. Therefore, An Omnex is cheap.
All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/ B is a salesperson and C is a programmer 4/ B and C are both salesperson
b) Consider the arguments below: Amin doesn't like mathematics or he attends the classes. If Amin attends the classes or study hard, then he will pass the examination. Amin failed the exam. i) Using variables p, q, r and s, write down the primary statements ii) Write the premises using variables in (i) iii) Find the conclusion of the arguments by using the rules of inference.
9. Tommy Flanagan was telling you what he ate yesterday afternoon. He tells you, “I had either popcom or raisins. Also, if I had cucumber sandwiches, then I had soda. But I didn't drink soda or tea." Of course you know that Tommy is the world's worst liar, and everything he says is false. What did Tommy eat? Justify your answer by writing all of Tommy's statements using sentence variables (P,Q.R,S,T), taking their negations, and using these to deduce what Tommy actually ate. [8]
Identify the valid inference form (modus ponens, modus tollens etc.). 1. -(Po R) - (Qɔ S) 2. (Qɔ S) Which of the following is correct? A. Addition B. Simplification C. Modus Ponens D. Modus Tollens
What is the hypothesis in a conditional statement, "If I had wings, I could fly"?
Choose what is the conclusion from the following premises: "If I walk under the rain, I get sick" "I take medicine when I am sick." "I did not take medicine"? O O O I walked under the rain I got sick I did not get sick
Answer the following question:a) What is an argument?
Answer 2 and 3 in the question. Please make sure the answers are correct. This question is in three parts. Given the premises: If the steak is well done, it’s overcooked. If the steak is overcooked, the fire alarm will go off. Either the batteries have been changed or the fire alarm will not go off. The batteries have only been changed if the ladder is in the room. The ladder is not in the room. Conclude that the steak is not well done. 2. These premises don’t make sense in the real world. Why? 3. How can you change the premises so that they make sense in the real world?
Select all the valid argument forms. Opq 9 .. P pV¬q 9 .. P O pv q 9 .. -р

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