MODULE
TWO
PROBLEM
SET
1
(p
∧
q)
→
r
∴
(p
∨
q)
p
→
q
q
∴
p
p
→
q
¬p
∴
¬
q
P
ROBLEM
1
Part
1.
Indicate
whether
the
argument
is
valid
or
invalid.
For
valid
arguments,
prove
that
the
argument
is
valid
using
a
truth
table.
For
invalid
arguments,
give
truth
values
for
the
variables
showing
that
the
argument
is
not
valid.
(1)
Not
valid.
For
p
=
T,
q
=
F,
r
=
F
and
p
=
F,
q
=
T,
r
=
F:
these
two
combinations
prove
the
argument
invalid.
Part
2.
Converse
and
inverse
errors
are
typical
forms
of
invalid
argu-
ments.
Prove
that
each
argument
is
invalid
by
giving
truth
values
for
the
variables
showing
that
the
argument
is
invalid.
You
may
find
it
eas-
ier
to
find
the
truth
values
by
constructing
a
truth
table.
(a)
Converse
error
If
the
truth
value
of
p
is
F
and
q
is
