## PHL111 Valid Reasoning, Past Assignments

Past Assignments

26 AugustReading:Read chapter 1 of CIL.

We're moving to Marano 306.

Go to the East side of the building -- that's the end near where our old classroom was. On that end of the building only is there a 3rd floor. Go on up!28 AugustPractice:Hand in at the beginning of class your answers to problems 1-5 at the end of chapter 1.31 AugustReading:Read chapter 2 of the book.

I should have the Blackboard<-->Clickers set up running this week. Usually, I also have short answer questions about the reading posted there also. So expect that before next week.31 AugustReading:Read chapter 3 of the book.2 SeptemberPractice:Complete problems 5 and 6 at the end of chapter 2.11 SeptemberReading:Read chapter 4 of the book.18 SeptemberPractice:Do problems 1 and 4 of chapter 4. This is nine proofs, but they are short, and a good block of practice will help you become familiar and comfortable with direct derivations.25 SeptemberReading:Read chapter 5 of the book.

Practice:Do problems 2a, 2b, 2d, 2e; and 3a, 3b, 3c, 3d; of chapter 5.28 SeptemberPractice:I'll be out of town, but will email to you at around 10:20 (and will try to post here also) a problem that should only take about 55 minutes, and which will be due in the philosophy department before 12:30 pm. The office is Marano 212. If no one is there, write FOR DELANCEY on it and slip it under the door (the office should open at 12.) You can work together but must ultimately go off and write it up on your own.

Here is the assignment as a pdf:A dastardly crime against logic.2 OctoberRead chapter 6 of our textbook.3 OctoberSteinkraus Lecture. Liberty and the Pursuit of Happiness: Mill's Political Philosophy and American Ideals. 2:15 p.m. in the Historic Lecture Hall, room 222 Sheldon.9 OctoberQuiz 1. The quiz will have two parts. One part you will do alone, and you will have 20 minutes to complete this part of the quiz. The second part you will do in a group. I made the groups based on trying to mix the majors (that is, I try not to put all the math majors together, etc.). The groups are:

Group 1Castro, Jarius

Coleman,Vaughan

Collado, Bryan

De Amicis, Nicholas

Jackson,Adam

Joy, Patrick

O'Grady, Morgan

Group 2Capuano, Marissa

Cusson, Kimberly

Hannahan, Amy

Hickok, James

Mazur, Jesse

Rice, Jessica

Rogers, Gale

Group 3Bodt, David

DiMaria, Rosemary

Fausner, Allison

Haskins, Austin

Hegarty, Michael

LeRoy, Noelle

Rose, Jordan

Group 4Brennan, Julia

Carey, Douglas

Mancarella, Peter

Pedone, Matthew

Travis, William

Zeganek, Katarzyna

Group 5Adu-Agyei, IsaacThe quiz will cover everything up to but not including conditional derivation.

Eckler, David

Forman, Stephanie

Krawiecki, Vincent

Persaud, Nadira

Scott-Mohamm, Steven

12 OctoberRead chapter 7 of CIL.

Practice:due at the beginning of class. Do the following problems: from chapter 6: 1a, 1f, 2c, 2e, 4; from chapter 7: 2, 3a, 3c, 5.

And homework:watch these five videos by Stephen Chew.14 OctoberRead chapter 8 of CIL.

Print chapter 10 of our text. This is just three pages. This is everything you have to memorize to have the basics of the propositional logic. Put it in your notes and use it always as your reference.16 OctoberPractice:from chapter 8 of CIL, please do problems 1b, 1c, 1d, and 2d. Each of these will require (at some point in the proof) indirect derivation.

And remember:

1. Free Advice!: watch these five videos by Stephen Chew.

2. Print chapter 10 of our text. This is just three pages. This is everything you have to memorize to have the basics of the propositional logic. Put it in your notes and use it always as your reference.21 OctoberMidterm grades are posted. Please note that they are approximate, with a fair amount of error, since the quiz was a bit too easy, and also because this early in the semester missing a few homeworks will have an exaggerated effect.

Practice!Some more problems that will require indirect derivation, because that last homework was tough and we need more practice. Please prove the following.Some hints. For #3, note the following. At some point, you'll be trying to prove (¬P ∧ ¬Q). But note, we know how to do that directly: prove ¬P and prove ¬Q and then do adjunction. So follow that strategy. For #4: this is the hardest proof I'll ever show you in the propositional logic, so don't let it bum you out if you find it really hard. Here's a hint. Use ID. Then, note that it would be great if you could do MTP with the second premise. So, assume that half the disjunction is false, as the AID for another indirect proof. Derive a contradiction. But that means that half is true, in this context. Do MT. You're now almost done....

- Chapter 8 problem 1a.
- Prove the following: ((¬P v ¬Q) → ¬(P ∧ Q))
- Prove the following: (¬(P v Q) → (¬P ∧ ¬Q))
- Optional; this one requires cleverness! Chapter 8 problem 1e.
28 OctoberPractice:Do problem 1 (parts a, b, c) of chapter 9.2 NovemberPractice:Two parts. Part I: Translate the following sentences into our first order logic. Provide a translation key that identifies the names and predicates. David asked that they be Halloween themed, so:Part II: please complete problem 2 of chapter 11.

- Bob is a zombie.
- Bob is neither a lycanthrope nor female.
- Bob is a male zombie.
- Sandi is not a male zombie.
- Bob is a zombie if and only if he is not a lycanthrope.
- Pat is not both a zombie and a lycanthrope.
- Pat is not a zombie, though he is male.
- Pat and Bob are male.
- Bob is older than Pat and Sandi.
- Pat is not older than both Sandi and Bob.

Read:chapter 11 of the book.4 NovemberQuiz 2. All of the propositional logic! This will be two problems, both of which you will do in teams. But they'll be harder than the last test!

I received some requests to mix up the teams. So here are the quiz 2 teams:

Group 1Adu-Agyei, Isaac

Coleman,Vaughan

Collado, Bryan

Jackson,Adam

Joy, Patrick

Krawiecki, Vincent

Group 2Castro, Jarius

Cusson, Kimberly

De Amicis, Nicholas

Hannahan, Amy

Mazur, Jesse

Rice, Jessica

Rose, Jordan

Group 3Capuano, Marissa

DiMaria, Rosemary

Fausner, Allison

Hickok, James

LeRoy, Noelle

O'Grady, Morgan

Scott-Mohamm, Steven

Group 4Bodt, David

Carey, Douglas

Haskins, Austin

Mancarella, Peter

Travis, William

Zeganek, Katarzyna

Group 5Brennan, Julia

Eckler, David

Forman, Stephanie

Hegarty, Michael

Pedone, Matthew

Persaud, Nadira

Rogers, Gale

6 NovemberRead:chapter 12 of CIL.

In class, we'll review the last homework, review the quiz, and return to the question of translating phrases using the 8 forms.9 NovemberPractice:complete problem 2 of chapter 12.

Read:chapter 13.13 NovemberPractice:From chapter 13, complete problem 1a, 1b, 1e; problem 2a, 2b, 2c; and problem 3b and 3d.

Read:chapter 14.20 NovemberPractice:From chapter 14, complete problem 1a, 1b, 1c, 1d, 1h. Extra credit: can you find an informal model (an interpretation of F and G and a) that makes the following argument obviously invalid? Premises: ∀x(Fx → Gx), Fa; conclusion: Ga.23 NovemberLet's have fun and look at some logic applications, to interesting philosophical problems.