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# Respresenting proposition in the form of a tree watch

1. I've been given three questions.

the first one:
¬((¬(PvQ))→((¬Q)^R))
Represent the proposition in the form of a tree.

Assuming that the proposition is false, label each vertex of the tree with the corresponding truth value.

the second one:
(¬(PvQ))→((¬Q)^R)
Represent the proposition in the form of a tree.

Assuming that the proposition is false, label each vertex of the tree with the corresponding truth value.

This one i dont really understand
Use the inference rules 1) – 5) to prove the logical argument
P, Q^¬R,(P^Q)→S | - S

Have i done the first two right and could some guide me on how to do the third question. (see image at the bottom)

All help appreciated. thx

2. (Original post by Robbo17710)
Spoiler:
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I've been given three questions.

the first one:
¬((¬(PvQ))→((¬Q)^R))
Represent the proposition in the form of a tree.

Assuming that the proposition is false, label each vertex of the tree with the corresponding truth value.

the second one:
(¬(PvQ))→((¬Q)^R)
Represent the proposition in the form of a tree.

Assuming that the proposition is false, label each vertex of the tree with the corresponding truth value.

This one i dont really understand
Use the inference rules 1) – 5) to prove the logical argument
P, Q^¬R,(P^Q)→S | - S

Have i done the first two right and could some guide me on how to do the third question. (see image at the bottom)

All help appreciated. thx

The heading "Trees" makes it look like there's going to be a grand collection of pictures of Oaks and Conifers!

...I was miserably disappointed
Spoiler:
Show
Sorry for not not not not being unhelpful
3. changed the title :P
4. (Original post by Robbo17710)
I've been given three questions.

the first one:
¬((¬(PvQ))→((¬Q)^R))
Represent the proposition in the form of a tree.

Assuming that the proposition is false, label each vertex of the tree with the corresponding truth value.
The tree in your diagram starts off as true.

the second one:
(¬(PvQ))→((¬Q)^R)
Represent the proposition in the form of a tree.

Assuming that the proposition is false, label each vertex of the tree with the corresponding truth value.
Not studied this methodology, but it looks correct to me.

This one i dont really understand
Use the inference rules 1) – 5) to prove the logical argument
P, Q^¬R,(P^Q)→S | - S
There's no standard numbering to the rules of inference. What are your 1) - 5)?

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