Exercise: Truth Tree Tests for Validity
 

Test the following arguments to see whether they are valid or invalid using the truth tree method:
 

1. A (C & D)
(C D)
---------------
~(A & C)
Check answer

2. ~(R v S)
~(R T)
--------------
~(~T P)
Check answer
3. S & (R v ~T)
~R & ~~T
T R
---------------
S T
Check answer
4. (A B)
(B C)
--------
(A C)
Check answer
5. (R v T)
A (~R & ~T)
---------------
~A
Check answer
6. R  & (S  ~T)
~(~S v ~T) & (L v ~Z)
------------------------
~R v (P Q)
Check answer