## sandii2006 Group Title 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. Submit your full detailed solution If the koi are swimming in the pond, then the birds are chirping. The birds are not chirping. The koi are not swimming in the pond. 2 years ago 2 years ago

1. hahd Group Title

birds are dependent on koi swimming

2. hahd Group Title

if koi dont swim then birds dont chirp

3. 101Ryan101 Group Title

If the Packers are playing, koi might be swimming.

4. Dangolbery Group Title

5. sandii2006 Group Title

come on guys i'm trying to LEARN THIS please.... no joking around.. I would appreciate it..

6. jim_thompson5910 Group Title

p: the koi are swimming in the pond q: the birds are chirping So the argument translates to p --> q ~q .: ~p So this is a valid argument since it uses the Modus Tollens form

7. snaef999 Group Title

if k = s then b = c b != c thus k!=s

8. abtrehearn Group Title

$p \rightarrow q$not p therefore, not q. The argument is valid [contrapositive]

9. sandii2006 Group Title

how come you both got DIFFERENT answers?

10. jim_thompson5910 Group Title

abtrehearn is using not p instead he should be using not q

11. hahd Group Title

p --> q ~q .: ~p

12. jim_thompson5910 Group Title

but the law of the contrapositive is another way to say modus tollens

13. sandii2006 Group Title

ok which is the "correct" way to say it jim?

14. jim_thompson5910 Group Title

not sure which one your book uses

15. sandii2006 Group Title

i believe it the modus

16. abtrehearn Group Title

My mistake.

17. jim_thompson5910 Group Title

have you seen that term before?

18. hahd Group Title

jim is right

19. jim_thompson5910 Group Title

well you have the law of contrapositive correct (since that's just another way of saying modus tollens)

20. sandii2006 Group Title

yes i have seen that term before jim

21. jim_thompson5910 Group Title

22. abtrehearn Group Title

Got the p and q backwards.

23. sandii2006 Group Title

ok thank you. for clarifying it jim :)

24. jim_thompson5910 Group Title

np