I. Complete the following exercises from Volume 1 of Paul Teller’s A Modern Logic Primer. Remember, the answers to these questions can be found on Teller’s site. This section is worth 5 points and will be graded on the basis of completion. If you try every problem, you get all five points. If you skip even one, you get 0.
A. Volume 1, Chapter 4, Section 4.2 c-e B. Volume 1, Chapter 4, section 4.5 a-c C. Volume 1, Chapter 4, Section 4.6 g-i. (Use truth-tables to determine whether each
sentence is a logical truth, a contradiction, or neither; ignore Teller’s instructions).
II. Translate each of the following pairs of sentences into the language of SL and use truth- tables to determine whether or not they are logically equivalent. Total Points: 6 1. It is not the case that either Bloomberg or Warren will win the election; Bloomberg won’t
win the election and Warren won’t win the election. 2. It is not the case that either Bloomberg or Warren will win the election; Either Bloomberg
won’t win the election or Warren won’t win the election.
III. Symbolize the following argument in SL using the symbolization key provided and then use a truth-table to determine whether the argument is valid. Total Points: 3
Either my choice is determined by causes, or it is free, but not both. If my choice is not determined by causes, it is a random event. However, it is a free choice only if
it is not a random event. So, my choice is not free, but is determined by causes.
D: My choice is determined by causes. F: My choice is free. R: My choice is a mere random event
IV. Translate each of the following sentences into the language of sentential logic and construct a truth table to determine whether the sentence is a logical truth, contradiction, or contingency in SL. Total Points: 9
1. Either Biden will win the election or he won’t. 2. It is not the case that either Biden or Trump will win the election. 3. It is not the case that either Biden will win the election or he won’t win the election.