PHIL 347N Week 4 HOMEWORK ASSIGNMENT 

Please open the Truth-Table Worksheet link, and review the truth functions to complete this assignment. Instructions and directions are listed in this worksheet.

Remember to submit your assignment for grading when finished.

PHIL347

Week 4 Homework Assignment

 

Truth-Table Worksheet (graded, 60 points)

Part 1:   6 points

Part 2: 18 points

Part 3: 20 points

Part 4: 16 points

Total:   60 points

 

Part 1—Four Main Connectors (1.5 points× 4 = 6 total points)

Instructions

For the four main connectors, complete the truth tables below.

·         For the purposes of this document, we will use keys common on most computers. 

·         The tilde (~) remains the same, but and will be represented by &,or will be represented by V, and If, then will be represented by >.

·         Use capital Tfor true and capital F for false.

 

 

 

Part 2—Simple Claims (3 points× 6 = 18 total points)

Instructions

The simple claims below are from the textbook Exercise 7.6 (page 167).

·         Designate a letter to represent each simple claim, and then translate the truth-functional claims into symbolic forms.

·         Be sure to provide a breakdown on which claims are represented by which letter.

Example: People often think that all claims are either facts or opinion.

Answer: F Ú O

F = People often think that all claims are facts.

O = People often think that all claims are opinions.

 

1.  If John continues to look haggard, then someone must arrange to take him to the University Health Center to find out what is wrong.

Answer:

 

2. Kestrels are not common in this part of the country.

Answer:

 

3.  All students on campus have access to either a desktop computer or laptop computer.

Answer:

 

4.  The movie is unsuitable for children unless it has a G rating.

Answer:

 

5.  Llamas are South American ruminants, and bison are North American bovine mammals.

Answer:

 

6.  You can graduate from this university only if you pass the logical reasoning class.

Answer:

Part 3—Identifying Operator Identification (4 points× 5 = 20 total points)

Instructions

From the textbook Exercise 7.11 (pages 170–171), follow the directions for claims below.

·         Be sure to identify the claims represented by the capital letters you have chosen as well as the type of main operator (i.e. conjunction, disjunction, negation, or conditional).

Example:You do not feel safe in the dark, yet your mission is to go into that cave.

 

Answer: ~ S • M conjunction

S = You feel safe in the dark.

M = Your mission is to go into that cave.

 

1. It is not the case that my car will start after a rainstorm only if I dry off the battery connections.

Answer:

 

2. You will not have a successful business unless you hire hard-working employees.

Answer:

 

3.  A crocodile is neither in the yard nor in the house.

Answer:

 

4. Children are strong readers and have good math skills only if they attend preschool.

Answer:

 

5.  If you finish all of your dinner, then you will not have room for dessert.

Answer:

 

 

Part 4—Table Completion (4 points × 4 = 16 total points)

Instructions

From the textbook Exercise 7.20 (pages 181–182), complete the truth tables for the following arguments, and state if they are valid or invalid.

·         If invalid, be sure to highlight the line demonstrating that fact.

·         The two columns to the left in red are there to help you make sure you are applying all values properly.

 

1.    M >K

  M

  K

 

The argument is _____. (Valid or invalid)

 

 

 

2.    P > Q

   Q 

   P

 

The argument is _____.

 

 

3. Q

    P > Q

P

 

The argument is _____.

 

 

 

4. A V B

  ~ B

A

 

The argument is _____.

 

 

 

 

 

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