Homework for Chapter 5 Compound Proposition

Course Code

PHI 110

Section

Name

Exercise A. Negation

Instruction: Convert each of the following negative propositions into one in the standard form of negative proposition. Please type your answer in the space to the right of the word “Answer”.

Example: Doing laundry is not fun.

Answer: It is not the case that doing laundry is fun.

It is not cheap to dine out every day.

Answer:

The hijackers were not from Cuba.

Answer:

Dizzie Dean was not a pitcher.

Answer:

Jen’s proposal is unacceptable.

Answer:

Susan has gone irrational.

Answer:

This can of baby formula is a non-dairy product.

Answer:

Larry is disappointed in those newly hired employees.

Answer:

Bribery in business operation is illegal.

Answer:

American wireless service systems are incompatible.

Answer:

It is impossible to leave the Earth by pulling your hair.

Answer:

Exercise B. Conjunctive Proposition

There are two types of questions in this section. Please follow the instructions for each below.

B-1: Convert the embedded propositions into conjuncts of a complex conjunctive proposition.

Instruction: For each of the following propositions, identify the embedded propositions and form a complex conjunctive proposition. Please type your answer in the space to the right of the word “Answer”.

Example 1: Information about DNA, RNA, and the proteins found in different species can be compared to establish taxonomic relationships.

Answer: Information about DNA, RNA, and the proteins are found in different species and the information can be compared to establish taxonomic relationships.

Example 2: The dog, whose owner is Bob, is driving a car owned by David on US 53.

Answer: [(The dog’s owner is Bob and the dog is driving a car) and the car is owned by David] and the dog is on US 53.

The junior executives who asked for a raise were summarily dismissed.

Answer:

Snakes, which are reptiles without legs, kill a large number of rodents.

Answer:

Sometime another factor, which was not easily identified, was involved in the chemical reaction.

Answer:

My most valuable possession is an old, slightly warped blond guitar, which is the first instrument I learned how to play.

Answer:

Gregory, my beautiful gray Persian cat, walks with pride and grace, performing a dance of disdain.

Answer:

B-2: Convert variants of conjunction into the standard forms.

Instruction: Convert each of the following variants of conjunctive propositions into one in the standard form of conjunctive proposition. Please type your answer in the space to the right of the word “Answer”.

Example: The Greeks won the battle but lost the war.

Answer: The Greeks won the battle and The Greeks lost the war.

Dan went swimming even though the water was freezing.

Answer:

Tom came; however, the coach did not show up.

Answer:

Although George works hard, he never does well.

Answer:

That man is singing while he is running.

Answer:

Fred and Nancy are chatting.

Answer:

Exercise C. Disjunctive Proposition

There are two types of questions in this section. Please follow the instructions for each below.

C-1: Distinguish between inclusive and exclusive disjunction.

Instruction: For each of the following disjunctive propositions, indicate whether it is an inclusive or exclusive one. Please type your answer in the space to the right of the word “Answer”.

Example: Either Leslie is not sad or she’s a good actor.

Answer: inclusive

I will drive her to her house or she will take a taxi.

Answer:

You can rent the movie or read the book.

Answer:

Either it rained or the Wilsons’ barbecue went as planned.

Answer:

Julianne will try for the green with a long iron, or else chip out onto the fairway.

Answer:

Either Carol will win or Jim will win the gold medal.

Answer:

C-2: Convert variants of disjunction into the standard one

Instruction: Convert each of the following variants of disjunctive propositions into one in the standard form of disjunctive proposition. Please type your answer in the space to the right of the word “Answer”.

Example: I’ll take either Project A or Project B.

Answer: Either I’ll take Project A or I’ll take Project B.

I’m busy; otherwise I’d accept your invitation.

Answer:

You’ll have to wear warm clothes; otherwise you’ll catch a cold.

Answer:

At least one of SAT and ACT tests is accepted by universities.

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I will be disappointed unless I win.

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Unless I work all night, I won’t finish the paper.

Answer:

Exercise D. Conditional Proposition

Instruction: Convert each of the following variants of conditional propositions into one in the standard form of conditional proposition. Please type your answer in the space to the right of the word “Answer”.

Example: We will see the Nutcracker Suite if we get tickets.

Answer: If we get tickets, then we will see the Nutcracker Suite.

I will read the paper with breakfast as long as it arrives in time.

Answer:

I will wear the shoes provided they fit.

Answer:

He’ll miss the game if he goes home for dinner.

 

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