Below are examples of well-crafted versions of the above arguments:1. If I do change my plans, then Dilbert will ask me how I found out.2. If Dilbert asks me how I found out, then I should lie to hi

Below are examples of well-crafted versions of the above arguments:

1.  If I do change my plans, then Dilbert will ask me how I found out.

2.  If Dilbert asks me how I found out, then I should lie to him.

3.  If I should lie to him, then I will turn into a liar.                     

So, 4. If I do change my plans, then I will turn into a liar.                                        

1.  Either I do change my plans or I do not change my plans.   

2.  If I do change my plans, then I will turn into a liar.

3.  If I do not change my plans, then I have big problems.                   

So, 4. Either I turn into a liar or I have big problems.   

1.  Either I have big problems or I turn into a liar or you see the view from the roof.

2.  I will neither have big problems nor turn into a liar.

So, 3.  You will see the view from the roof.

Alternative version

1.  Either I have big problems or I turn into a liar or you see the view from the roof.

2.  You will see the view from the roof.

So, 3. I will neither have big problems nor turn into a liar.

Use this scheme of abbreviation to create each symbolic form.

(P: I do change my plans; A: Dilbert will ask me how I found out; L:  I should lie to him;

T: I will turn into a liar; B: I have big problems; V: You see the view from the roof)

On the next page are 10 questions and answers concerning the four examples of well-crafted arguments presented above.   You need to submit a typed, complete and detailed response to each question and answer by Monday, April 30th.  The four examples of well-crafted arguments will be discussed. Wednesday, April 18th.

You can either copy and paste the questions from myCourses into a Word document and answer each question or answer each question in a paragraph form.

1.  Use a truth table to show that the form of the first argument is valid.

Worth 1 pt.  Create and complete the truth table for the first argument’s symbolic form and show and explain why the argument is valid.

2.  Use the natural deduction method to show that the first argument is valid.

Worth 1 pt.  Create and complete the natural deduction method of the first argument’s symbolic form and show and explain why the argument is valid.

3.  Use a truth table to show that the form of the second argument is valid.

Worth 1 pt.  Create and complete the truth table for the second argument’s symbolic form and show and explain why the argument is valid.

4.  Use the natural deduction method to show that the second argument is valid.

Worth 1 pt.  Create and complete the natural deduction method of the second argument’s symbolic form and show and explain why the argument is valid.

5.  Use a truth table to show that the form of the third argument is valid.

Worth 1 pt.  Create and complete the truth table for the third argument’s symbolic form and show and explain why the argument is valid. (Hint: Put parentheses around first two statements).

6.  Use the natural deduction method to show that the third argument is valid.

Worth 1 pt.  Create and complete the natural deduction method of the third argument’s symbolic form and show and explain why the argument is valid.

7.  Use a truth table to show that the form of the alternative argument is invalid.

Worth 1 pt.  Create and complete the truth table for the alternative argument’s symbolic form and show and explain why the argument is invalid.

8.  Use the natural deduction method to show that the alternative argument is invalid.

Worth 1 pt.  Create and complete the natural deduction method of the alternative argument’s symbolic form and show and explain why the argument is invalid.

9.  Is the first premise of the second argument a tautology?

Worth 1 pt.  Yes. Define what a tautology is and using a truth table show that the first premise of the second argument is a tautology.

10. Is the negation of the first premise of the second argument a contradiction?

Worth 1 pt.  Yes. Define what a contradiction is and using a truth table show that the negation of the first premise of the second argument is a contradiction.