Question

Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used.

If the gazebo is made of wood, then the vine is growing on the gazebo.
The vine is not growing on the gazebo.
The gazebo is not made of wood.

Answer 1

the one that says
\(p\implies q\)
\[\lnot q\]therefore \(\lnot p\)

Answer 2

i think this goes by the fancy name of modus tollens
http://en.wikipedia.org/wiki/Modus_tollens

Answer 3

so its not p or q?

Answer 4

?

Answer 5

i think they are after "modus tollens"
this is an argument of the form "if p then q", not q, therefore not p

Answer 6

so how would i write that then?

Answer 7

i am not sure what you are after.
it is written for you in words, perhaps you have to write it in symbols
take a look at the link i sent, it has exactly that form

Answer 8

i have to write the argument in symbols

Answer 9

and determine wheather is valid or invalid

Answer 10

ok ill look at that page thanks

Answer 11

it is valid, and it is the exact argument i sent on the link
link is short and sweet, symbolic form is right up top