lecture notes9

Determineappropriatelogicalconnectives

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Unformatted text preview: 























p
only
if
q









 q
unless

¬p
















q
when
p
 



q
if
p q
when
p 
 



q
whenever
p








 p
is
sufficient
for
q

 



q
follows
from
p









q
is
necessary
for
p 




a
necessary
condition
for
p
is
q
 




a
sufficient
condition
for
q
is
p
 Converse,
Contraposi1ve,
and
Inverse
   From
p →q

we
can
form
new
conditional
statements
.
   
q →p











is
the
converse
of
p →q

   
¬q → ¬ p



is
the
contrapositive

of
p →q
   ¬ p → ¬ q




is
the
inverse
of
p →q
 


Example:
Find
the
converse,
inverse,
and
contrapositive
of
 “It
raining
is
a
sufficient
c...
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This document was uploaded on 03/06/2014 for the course MATH 320 at CSU Northridge.

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