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Devantè

Real Member

Registered: 2006-07-14

Posts: 6,400

Disjunctions

Exercises on Disjunctions

State the truth value of the following statements.

1. If p is true and q is false, state the truth for:
~ p V q
2. If p is false and q is true, state the truth for:
p V ~ q
3. If p is true and q is false, state the truth for:
~ p V ~ q
4. If p is false and q is true, state the truth for:
p V q
5. If p is false and q is true, state the truth for:
~ p V q
6. If p is false and q is false, state the truth for:
p V q
7. If p is true and q is false, state the truth for:
~(~ p V ~ q )
8. If p is true and q is true, state the truth for:
p V q
9. If p is true and q is true, state the truth for:
~ p V q
10. If p is false and q is true, state the truth for:
~ p V ~ q
11. If p is true and q is false, state the truth for:
~( p V q )
12. If p is false and q is true, state the truth for:
~(~ p V ~ q )
13. If p is true and q is false, state the truth for:
p V ~ q
14. If p is false and q is false, state the truth for:
~ p V q
15. If p is false and q is false, state the truth for:
~(~ p V ~ q )
16. If p is false and q is false, state the truth for:
p V ~ q
17. If p is true and q is true, state the truth for:
~(~ p V ~ q )
18. If p is false and q is true, state the truth for:
~(~ p V q )
19. If p is true and q is true, state the truth for:
~( p V ~ q )
20. If p is true and q is true, state the truth for:
p V ~ q
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noelevans

Member

Registered: 2012-07-20

Posts: 236

Re: Disjunctions

Hi Devante!

These truth value evaluations are much easier if the statements are first translated into the G. Spencer Brown notation.   His notation has only one symbol (like the upper righthand  corner of a square) besides the statement variables p,q,r, etc.  Look up his system on the internet.  You'll be amazed at his ingenious system. 

Last edited by noelevans (2012-07-26 16:57:46)

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