My personal dilemma...

I didn't get the quiz completed yesterday. Although I had done most of the work (on paper) over the weekend, I just didn't have time Sunday night to finish it. Yesterday, I had the "privelege" of sitting in a courtroom for three hours because I am being sued in small claims by someone that I should be suing. They never showed up.

What do I do? Do I keep on working on this class? Do I drop it? My life was terribly out-of-control last week. I belong to two Toastmasters clubs. On Wednesday, I teach basic math and computer skills to a group at my church. (Because our church area ["ward" to those who know how the LDS church works] encompasses the poorest parts of Atlanta, many of our members are low-income and low-educated. A group of educated people in the ward have been assigned to help stop the cycle of poverty that these otherwise wonderful people have experienced.) On Thursday, my son was in town for a few hours. The advantage of living near the world's busiest airport -- you get unexpected visits from friends and family when they have layovers.

Anyone out there have feelings about this? Is this class more work than YOU expected? I am also bogged down by the nomenclature -- I have always thought in terms of  "unions" and "and" and "or", not phis and psis. Plus, the use of pi as a variable really threw me the first week. Pi is 3.14159..., not some random variable.

My rant for the day.

Assignment 4: Questions 12, 13, and 14.

12. Write down the contrapositives:

(a) If two rectangles are congruent, they have the same area.
(b) If a triangle with sides a, b, c, is right-angles, then a^2 + b^2 = c^2
(c) If 2^n -1 is prime, then n is prime.
(d) If the Yuan rises, the Dollar will fall.

13. Use truth tables to show that the contrapositive and the converse of A => B are not equivalent.

14. Write down the converses of the four statements in question 12.

Assignment 4: Question 11

Use truth tables to prove the equivalence of A => B and (not B) => (not A)

Assignment 4: Questions 7, 8, 9, and 10.

7. Show that A <=> B is equivalent to (not A) <=> (not B).

8. Construct truth tables to illustrate the following:

(a) A <=> B.
(b) A => (B and C).

9. Use truth tables to prove that the following are equivalent: A => (B and C) and (A => B) and (A => C).

10. Verify the equivalence in question 9 by means of a logical argument.

Assignment 4: Question 6

Give a natural sounding denial of each of the following statements.

(a) 34,159 is a prime number.
(b) Roses are red and violets are blue.
(c) If there are no hamburgers, I'll have a hot dog.
(d) Fred will go but he will not play.
(e) The number x is either negative or greater than 10.
(f) We will win the first game or the second.

Assignment 4: Question 5

(See assignment).

Question: Provide an analogous logical argument to show that not(A and B) and (not A) or (not B) are equivalent.

Assignment 4: Question 4

(a) Construct a truth table for the logical statement:

[A and (A => B)] => B


(b) Explain how the truth table to obtain demonstrates that modus ponens is a valid rule of inference.