Translate the following sentences into sentential logic using logical constants and upper case letters as variables to represent ordinary language sentences.

Example answer:

Argument: “If it rains tomorrow then I won’t go shopping and I will get some work done at home.”

P = it rains tomorrow;

Q = I will go shopping;

R = I will get some work done at home.

(P -> (~Q & R))

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1. Either Jodie Foster or Sigourney Weaver wear black to the Grammys but it is not the case that both do.

2. Tanzania becomes a banking center given that Zanzibar attracts foreign capital.

3. Vancouver does not allow smoking in restaurants.

4. The bank and the jail are located on different streets.

5. If either David Beckham or Tom Allen attend the charity concert, then neither Rachel Notley nor Theresa May will attend.

6. If Janet did not alter the truth table, then Justin intended to expose a genuine flaw in the truth table. It seems to be the case that she did alter the truth table. So, Justin is innocent of the intention of exposing a genuine flaw in the truth table.

7. Erik attains Valhalla given that he is valiant. And Erik is depressed assuming that he is not valiant. Furthermore, Erik fails to attain Valhalla only if he is not depressed. Thus, Erik is depressed.

I’ve attached the table of logical constants for reference. I also have answers for a couple of the arguments, just in case I need to check for credibility.

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