Math assignment

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w4mathassignment.pdf

Determine whether the sentence is a proposition.

The area code for Storm Lake, Iowa, is 512.

The sentence is a proposition.

The sentence is not a proposition.    

Write the negation of the statement.

The lunch was served at noon.

The lunch was not served at noon.

The lunch was not served that day.    

The lunch was served either before or after noon.

No lunch was served.

The lunch was not eaten at noon.

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1. AUFQR1 2.3.003.–/1 POINTS MY NOTES ASK YOUR TEACHER

2. AUFQR1 2.3.008.–/1 POINTS MY NOTES ASK YOUR TEACHER

Write the sentence in symbolic form. Represent each component of the sentence with the letter indicated in parentheses.

If it is a dog (d), it has fleas (f).

d → f

d ⋀ f    

~f

d ⋁ f

f → d

Use the given symbols to write the symbolic statement in words.

p: I cannot play the piano.

q: I can play the violin.

I can play the piano and the violin.

I can play the piano or the violin, but not both.    

I can play the violin but not the piano.

I cannot play the piano or the violin.

I can play the piano but not the violin.

~p ⋀ q

3. AUFQR1 2.3.013.–/1 POINTS MY NOTES ASK YOUR TEACHER

4. AUFQR1 2.3.017.–/1 POINTS MY NOTES ASK YOUR TEACHER

Use DeMorgan's laws to restate the given statement in an equivalent form.

She did not visit France, and she did not visit Italy.

She did not visit either France or Italy.

She did not visit France only if she did not visit Italy.    

She did not visit France if she did not visit Italy.

She did not visit France, or she did not visit Italy.

She visited France, and she visited Italy.

Identify the antecedent and consequent of the conditional statement.

If I had the money, I would buy the painting.

antecedent ---Select---

consequent ---Select---

5. AUFQR1 2.3.025.–/1 POINTS MY NOTES ASK YOUR TEACHER

6. AUFQR1 2.3.027.–/2 POINTS MY NOTES ASK YOUR TEACHER

State the premise, conclusion, and logical fallacy.

If I make an exception for you, Joey will find out and want one too. Then everyone will find out, and I will have to make an exception for everyone.

premise

I should make an exception for you.

I should not make an exception for Joey.    

I will have to make an exception for everyone.

Joey will tell everyone about the exception.

Joey will want an exception too.

conclusion

I should make an exception for you.

I should not make an exception for Joey.    

I will have to make an exception for everyone.

Joey will tell everyone about the exception.

Joey will want an exception too.

logical fallacy

red herring

appeal to ignorance    

slippery slope

post hoc

appeal to emotion

7. AUFQR1 2.4.029.–/3 POINTS MY NOTES ASK YOUR TEACHER

State the premise, conclusion, and logical fallacy.

The police were unable to prove that a ghost wasn't responsible for the strange activity. Therefore, it was a ghost.

premise

A ghost was responsible for the strange activity.

A ghost was not responsible for the strange activity.    

Ghosts are not real.

The police could not prove the strange activity was not caused by a ghost.

The police made a mistake.

conclusion

A ghost was responsible for the strange activity.

A ghost was not responsible for the strange activity.    

Ghosts are not real.

The police could not prove the strange activity was not caused by a ghost.

The police made a mistake.

logical fallacy

ad hominem

black-or-white    

post hoc

appeal to ignorance

appeal to authority

8. AUFQR1 2.4.031.–/3 POINTS MY NOTES ASK YOUR TEACHER

State the premise, conclusion, and logical fallacy.

That's America. Love it or leave it.

premise

Either you love America or you leave.

Love it or leave it.    

That's America.

You can love America and still leave it.

You must love America so that you don't have to leave.

conclusion

Either you love America or you leave.

Love it or leave it.    

That's America.

You can love America and still leave it.

You must love America so that you don't have to leave.

logical fallacy

black-or-white

appeal to popularity    

appeal to emotion

straw man

hasty generalization

9. AUFQR1 2.4.035.–/3 POINTS MY NOTES ASK YOUR TEACHER

State the premise, conclusion, and logical fallacy.

Surely my beautiful and intelligent sister wants to give me a ride to school.

premise

I need a ride to school.

My sister is beautiful and intelligent    

My sister goes to the same school as me.

My sister owns a car.

My sister wants to give me a ride to school.

conclusion

I need a ride to school.

My sister is beautiful and intelligent    

My sister goes to the same school as me.

My sister owns a car.

My sister wants to give me a ride to school.

logical fallacy

ad hominem

appeal to emotion    

circular reasoning

hasty generalization

appeal to ignorance

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10. AUFQR1 2.4.037.–/3 POINTS MY NOTES ASK YOUR TEACHER

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