Propositions, Truth Values and Truth Tables


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question 1 of 3

p: The pond is not frozen over.

q: The fish are not jumping.

For the combination p AND (NOT q), for which truth values of p and q is the combination true?

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p: The dog rolls over on command.

q: The dog gets a treat.

For the combination p AND q, for which truth values of p and q is the combination true?

2. What does the statement, 'We will go get ice cream if and only if you clean your room' mean?

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About This Quiz & Worksheet

The questions will provide you with a variety of propositions. You will be asked to manipulate these propositions or to pick out their particular properties. For instance, some questions will ask you to combine propositions. Others will ask you to identify the number of propositions in a single statement.

Quiz & Worksheet Goals

The quiz tests you on the following topics:

  • Combining truth values
  • Negating propositions
  • Combining propositions
  • 'If and only if' statements

Skills Practiced

You will practice the following skills:

  • Knowledge application - use understanding of the concept of propositions, truth values, and truth tables to answer related questions
  • Interpreting information - verify that you can read information regarding proposition combinations and interpret it correctly
  • Information recall - access the knowledge you've gained regarding 'if and only if' statements

Additional Learning

After you finish the quiz, explore the corresponding lesson called Propositions, Truth Values and Truth Tables to absorb the various nuances of the subject. The lesson covers the following objectives:

  • Define propositions
  • Explore the truth values of statements
  • Create truth tables
  • Understand logic combinations