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March 31, 2015

March 31, 2015

Posted by **manny** on Thursday, September 13, 2007 at 2:31pm.

- Discrete Mathematics -
**Count Iblis**, Thursday, September 13, 2007 at 3:27pmSuppose that statement Z says that a piece of paper will burn, Y says that a piece of paper will burn when put in a fire, and that X says that the piece of paper is in the fire.

Then Y can be written as:

X ----> Z

Modus ponens then says that if X is true and Y is true then Z must be true.

Conversely, given that Y is true and Z is false, it follows that X must be false (because if X were true Z has to be true). So the statement:

X ----> Z

is equivalent to

Not(Z) ---> Not(X)

- Discrete Mathematics -
**manny**, Thursday, September 13, 2007 at 3:50pmgot it

thanks!!!

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