+-------------------------------------------------------------------+ | Math Note 001 jodys@helluin.org | | Logical Implications 12/04/2013| | v0.01 | +-------------------------------------------------------------------+ Negation: If (P => Q), then the negation is that there exists a P => Q'. If the negation is true, then the original is not true. Contraposition: If P => Q, then the contraposition is that !P => !Q Inversion: If P => Q, then the inversion is !P => !Q. If the inversion is true or false, it has no bearing on the original proposition. Conversion: If P => Q, then the conversion is Q => P. This is the inverse of the contraposition so it has the same truth value as the inverse.