For each of the following passages, determine if there is an argument present. If you think there is an argument, make sure to identify the premises and the conclusion of the argument. If you think there is no argument, explain why you think this.   1) Be careful when crossing the road. People drive really fast around here 2) All dogs are mammals, and all mammals are hairy. Doesn't it follow that all dogs are hairy? 3) Everyone I know is going to the party. I guess I should go too.

Q: Statement Justification Negation =(paq)v(-pat) laws =(paq)v~p i. =(pv-p)^(qv-p) i. =ta(qv-p) ii.

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Q: Use a direct proof to prove the following: Prove: Q Premises: P⇒Q, P⇒S, -S

A: We use the rules of inference to prove the given argument.

Q: Decide whether the argument is valid or a fallacy, and give the form that applies. If I don't do my…

A:

Q: Premise: If you have lipstick on your collar, then you are cheating on me. Premise: If you are…

A: Given,      Premise: If you have lipstick on your collar, then you are cheating on me      Premise:…

Q: 2.) Postulates: 1. Olympic medal winners smile a lot. 2. People who love the sea are great swimmers.…

A:

Q: Write a valid conclusion. This problem was written by Charles Dodgson, better known as Lewis…

A: The answer is attached below.

Q: Determine whether the following argument is valid. Justify your answer by showing which rules of…

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Q: Think of a proof as a way to communicate a convincing argument for the truth of a mathematical…

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Q: Use rules of inference and logical arguments to show that the following statements imply the…

A: NASCAR will happen only if it won't snow or rain.  But champagne was not sprayed.  Hence, NASCAR did…

Q: Determine whether or not the sentence is a statement. Paris is the capital of Arkansas.

A: Given a sentence: Paris is the capital of Arkansas.

Q: 1.) Postulates: 1. Lovable people have many friends 2. Logical people are lovable. 3. Geometry…

A: Given query is to find the conclusion of the argument.

Q: Show that the two sentences below are logically equivalent. Express each pair of sentences using a…

A: Given Data: If x is a rational number and y is an irrational number then x-y is an irrational…

Q: State the conclusion for the following deductive argument. (1) If you study geometry, then you will…

A: We have to state the conclusion for the following deductive argument.   (1) If you study geometry,…

Q: Use De Morgan's laws to determine whether the two statements are equivalent. -(y A -x) → z, (y v x)…

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Q: Determine the validity of the given argument. 1. All pesticides are harmful to the enviornment. 2.…

A: Given statements are 1. All pesticides are harmful to the enviornment. 2. No fertilizers is a…

Q: Is the argument below valid? Is it sound? (Briefly explain your answers.)Premises: All flowers need…

A: The given argument sound correct but it is not valid.

Q: Supply a conclusion that will make the following argument valid. The policeman said, "Freeze, or…

A: given statement:The policeman said,"Freeze, or I'll shoot!" The criminal didn't freeze.…

Q: Open with 3. All of the employees at the AcmeSoft company are either programmers or salespeople. The…

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Q: All of the employees at the acmesoft company are either programmers or salespeople. The programmers…

A: Consider the person A. If A is a programmer, he will say he is programmer. If A is a sales person,…

Q: What is the converse of the statement: "If the Eagles win the Super Bowl then I'm the president"?

A: The given statement is "If the Eagles win the Super Bowl, then I'm the president". We have to…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.