Using the Law of Syllogism

1 / 6

# Using the Law of Syllogism - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## Using the Law of Syllogism

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### 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
• 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
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

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
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)