1.2 Evaluating Compound Propositions

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Across
  1. 3. Variable column w is the rightmost column. What's the truth value pattern?
  2. 4. As each variable column is towards the left, the truth values are what? (Hint: r = TFTF, q = TTFF, p = TTTTFFFF)
  3. 11. Type of proposition created using more than one operation (ex: p V ﹁q)
  4. 12. Order the steps of operations: 1. negation; 2. ________; 3. disjunction
  5. 13. Express each statement in logic using the variables: p: It is windy. q: It is cold. r: It is raining. | It is windy but not cold.
  6. 14. These are always evaluated first if applied to a compound proposition.
Down
  1. 1. What is applied first when evaluating compound propositions?
  2. 2. Start with the rightmost variable column with a(n)_______ TF pattern. (Hint: TFTF)
  3. 5. What variable column do you start with on a truth table?
  4. 6. Variable column p is the leftmost column from q, r, and w. How many of each T and F does p have?
  5. 7. Express each statement in logic using the variables: p: It is windy. q: It is cold. r: It is raining. | It is not true that it is windy or cold.
  6. 8. The _____ of operations apply to compound propositions that affects their truth value.
  7. 9. How many rows are in a truth table for a compound proposition with propositional variables: p, q, and r? (Hint: There are 3 variables so 2^3 is?)
  8. 10. The number of _____ of a truth table depend on the number of variables? (Hint: 2^?)
  9. 14. Express each statement in logic using the variables: p: It is windy. q: It is cold. r: It is raining. | It is windy and cold.