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Using the Law of Syllogism

Using the Law of Syllogism. With tricky puzzles!. 1 rule:. Since the CONTRAPOSITVE only statement that is guaranteed to be true if the conditional is true, try rewriting the statements in the contrapositive. Think of this like dominos—the ends must match up. Example.

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Using the Law of Syllogism

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  1. Using the Law of Syllogism With tricky puzzles!

  2. 1 rule: • Since the CONTRAPOSITVE only statement that is guaranteed to be true if the conditional is true, try rewriting the statements in the contrapositive. • Think of this like dominos—the ends must match up.

  3. Example • xy, t~y, ~t~q • ~y~x, y~t, qt • First write the contrapositive of each statement. • Second, circle the statements you will use. • Then write in order: • xy, y~t, ~t~q, therefore xq

  4. Example—more difficult! • tq, ~d~q, ~be, d~e, b~a • ~q~t, qd, ~eb, e~d, ab • Write all the contrapositives • Circle the matches • Order Solution: a~b, ~be, e~d, ~d~q, ~qt Therefore: at

  5. Examples • sa, ~cl, h~i, ci, a~l • yt, e~g, ~re, r~t • Ps, in, ~pa, a~n

  6. Solutions • H~i, ~i~c, ~cl, l~a, ~a~s (H~S) • G~e, ~er, r~t, ~t~y (G~Y) • ~s~p, ~pa, a~n, ~n~I (~S~i)

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