Symbolize the following claims, using the letters indicatedW
= Wildlife are threatened.
A
= Agricultural production is increased.
P
= The use of pesticides is continued.
---------- 1. Wildlife will be threatened if we increase agriculturalproduction.
---------- 2. We cannot both increase agricultural production and avoidthreatening wildlife.
---------- 3. If we are to increase agricultural production, we'll have tocontinue the use of pesticides, but if we do that wildlife willbe threatened.
---------- 4. If we don't use pesticides then wildlife will not be threatened.
---------- 5. If agricultural production is increased or pesticide use iscontinued, wildlife will be threatened.
---------- 6. The continuation of pesticide use will be sufficient to ensure thatwildlife will be threatened.
---------- 7. The continued use of pesticides is necessary for increasedagricultural production.
---------- 8. Together, the continued use of pesticides and the increase inagricultural production will guarantee that wildlife will be threatened.
---------- 9. Agricultural production will not increase even though the use ofpesticides will continue.
---------- 10. While pesticide use will continue, agricultural production willnot increase.
---------- 11. Either we increase agricultural production or we don'tthreaten wildlife.
---------- 12. If we don't want to threaten wildlife, then we can't continuepesticide use and we can't increase agricultural production.
a. P & ~A
g. A v ~W
b. (A P) & (P W) h. ~P ~Wc. ~A & P
i. ~W (~P & ~A)
d. ~(A & ~W) j. A P
e. (P & A) W
k. (A v P) W
f. A W
l. P W