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Exercise 2

Avg difficulty 2.5

Consider the statement about a party, “If it's your birthday or there will be cake, then there will be cake.”

  1. Translate the above statement into symbols. Clearly state which statement is PP and which is QQ.

  2. Make a truth table for the statement.

  3. Assuming the statement is true, what (if anything) can you conclude if there will be cake?

  4. Assuming the statement is true, what (if anything) can you conclude if there will not be cake?

  5. Suppose you found out that the statement was a lie. What can you conclude?

Hammond, Discrete Math for Shockers, §1.1 Propositional Logic, Exercise 2

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Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.