Over Christmas, Challenge B students are required to memorize the appendices from Nance's Intermediate Logic. My William and I took the tables and simplified them for easier memorization. Each morning over the holiday, he copied Appendix A and C.
Here is the original from the book for clarity. You may want to scroll back to it occasionally during this lesson.
To make it easier to remember, we just write the things that change. The things that are the same, are the same and easy. So we only filled in the letter F for false, since the T F table never changes and the empty boxes indicate T or True. Below are my notes. The words and, or, if/then and equal just remind us of the symbols meanings APPROXIMATELY. Also, we abbreviated the column labels to a rhyme: Neg, Con, Dis, Con, Bi.
Here is Appendix C from the book. I don't like how the printer made it look different than the Appendix A. We noticed that they used the same terms as A, so we made it into our form of a table. Even though memorizing is a grammatical process, notice it takes dialectic skills to reform someone else's info into your own tool.
We put C right under A, and now have reduced the two charts to one easy chart. Notice that both charts have a simple Negative column. So we write that first! and it's easy to memorize. Then we just repeated the original p and q chart and wrote a check mark after each.
Then we write the exact same row in the Negated column, except we add parenthesis and a ~ before each pq relationship.
Now that the hea! dings ar e listed, we have to fill in the chart. There are only 3 that have just a p over a q so we do them first. Then we draw the slants and the p and qs for the rest of the table, noticing that the Bi column is different too. So, they are either p over q, p before q, or pp over qq. We say these lind of things out loud to remind us.
Lastly we look at the negatives for patterns. We notice the p over q has no negative, both neagtives, and one negative. We notice the pp over qq has all right negative and split negative. The rest we just memorize. I know it is all memorizatio! n, but if you look for patterns and differences and say the story while you write it becomes easier.
Now that we've thought through the chart, we write it neatly, and proceed to copy it daily.
Here's William at the end of filling in a chart. Mes! sy board and boy in PJs but that's the beauty of home centered ed. Logic is done before breakfast.
Now that we have A and B memorized, we will tackle Appendix B, which is the longest.
To spend a weekend with adults practicing your own logic skills, join my longtime Tutor, Jody Harvey, in Winston-Salem, NC for a Latin in a weekend retreat register at http://www.classicalconversationsbooks.com/extrandre.html.
Please comment on how this was or wasn't helpful.
truth tables help
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