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Use the counterexample method to prove the following categorical syllogisms invalid. In doing so, follow the suggestions given in the text.Some politicians are peop...

Question

Use the counterexample method to prove the following categorical syllogisms invalid. In doing so, follow the suggestions given in the text.Some politicians are people who will stop at nothing to win an election, and no people who will stop at nothing to win an election are true statesmen. Hence, no politicians are true statesmen.

Use the counterexample method to prove the following categorical syllogisms invalid. In doing so, follow the suggestions given in the text.Some politicians are people who will stop at nothing to win an election, and no people who will stop at nothing to win an election are true statesmen. Hence, no politicians are true statesmen.



Answers

Determine whether each argument is valid or invalid. If it is valid, give a proof. If it is invalid, give an assignment of truth Values to the variables that makes the premises true and the conclusion false.

$$\begin{array}{l}{p \vee q} \\ {\frac{p}{\sim q}}\end{array}$$

The answer for question number 14 for the argument toe. Everett, The conjunction off the premises must employs conclusion. That is the conditional statement. Er Miss one and Prince toe. And okay, there's number in must implies a conclusion. Oh, must be Yeah. Policy. He four v equality. Few equality. Yeah. Do you want G? Do you want e empty? See? If so, the argument is invalid.

Okay, check it for volatile argument. It's to have P implies. Q. That is, we have. We'll read our column. Will P and Q. Do we have that ju implies to That's true. It's his false, and the rest is true. A knowledge finds que implies P Q is the pulling and then we have p. Okay, so that gives me true Joe Pulse and true. And now it's also find PM So once again, all we write this here. Okay, so I have to Andrew, that's true. This is false dolls that false. Okay, now let's find our conjunction between are these two blue collars? So we have true both and true. And now it's find our conditional between this column here and our blue column here. So that's true. True, Actually. Live with that in red. True, True. True On Supposed. Okay, so we see that we don't have all to relatives here. So are argument is invalid

Eventually it's just for argument is followed. So every ricin argument as a single statement and let's find a statement. Okay, so if it's all true, we know that our statement is valid. So let's begin. We have a negation of P. All right that out. So we have false both true and true. And then we have Q. And now let's find our conditional between that. So that true, true, true and false. Now this rewrite P. Now let's find our conjunction between our blue column on this green column. True Jew Vaults and walls on all its rights. Arctic ation off. Q. That's false. True bulls and true and I'll find are conditional between these two black columns. So we gets false, true, true and true, and we see that our solution has or is about true. So this argument that we have is invalid. Specifically, when P and Q are true, we get false

Okay, so check if our argument is valid. So I'll be reaching this as a single statement composed of our premises with conjunction implying our conclusion. So if we see that our truth table has all true about then armed statement about So let's begin. We have the negation of P. It's most phone true and true analogy, Right? Cube. So we have implication between these two. So that's true, true, true and false. And now, with the conjunction between that Q. So all right, Q. Out and I. Let's find the conjunction between the stairs That's true, falls true well, and I will live to regret p and find the conditional between those two black column we have to true false unfold. And then let's find our condition get true. True, both hands full and true. So we see that's not all. All of our solutions is true to the statement is invalid. Specifically when P it's false on Q is true. We get a false statement


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