lecture notes9

Exampleshowusingatruthtablethatthe

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Unformatted text preview: t
would
not
 be
used
in
ordinary
English.
   “If
the
moon
is
made
of
green
cheese,
then
I
have
more
 money
than
Bill
Gates.
”
   
“If
the
moon
is
made
of
green
cheese
then
I’m
on
 welfare.”
   “If
1
+
1
=
3,
then
your
grandma
wears
combat
boots.”
 Understanding
Implica1on
(cont)
   One
way
to
view
the
logical
conditional
is
to
think
of
 an
obligation
or
contract.
   “If
I
am
elected,
then
I
will
lower
taxes.”
   “If
you
get
100%
on
the
final,
then
you
will
get
an
A.”
   If
the
politician
is
elected
and
does
not
lower
taxes,
 then
the
voters
can
say
that
he
or
she
has
broken
the
 campaign
pledge.
Something
similar
holds
for
the
 professor.
This
corresponds
to
the
case
where
p
is
true
 and
q
is
false.

 Different
Ways
of
Expressing
p →q


 



if
p,
then
q




















p
implies
q

 



if
p,
q





...
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