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Notes - Truth Tables

Notes - Truth Tables. fun, fun, and more fun!!!! . A compound statement. is created by combining two or more statements, p and q. Conjunction. uses the word “ and ” Symbol ^ True only when all parts are true. Disjunction. uses the word “ or ” Symbol v

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Notes - Truth Tables

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  1. Notes - Truth Tables fun, fun, and more fun!!!! 

  2. A compound statement • is created by combining two or more statements, p and q.

  3. Conjunction • uses the word “ and” • Symbol ^ • True only when all parts are true

  4. Disjunction • uses the word “or” • Symbol v • True if any one of its parts are true

  5. truth table • a table that lists all possible combinations of truth values • ****Be sure to include all possible combinations of truth values for each piece of the compound statement***

  6. Conjunction

  7. Disjunction

  8. Negation

  9. A statement whose truth table contains only True in the final column is a tautology • A statement whose truth table contains only False in the final column is a contradiction

  10. Conditional – think only time false is a broken promise

  11. Example 1.~(p v q)

  12. Example 1.~(p v q)

  13. Example 2.p ^ ~q

  14. Example 2.p ^ ~q

  15. Ex 3.(p ^ q) q

  16. Ex 3.(p ^ q) q

  17. Ex 4.(p v q) ~p

  18. Ex 4.(p v q) ~p

  19. (p ^ q) v (p ^ r)

  20. (p ^ q) v (p ^ r)

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