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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.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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birds are dependent on koi swimming
if koi dont swim then birds dont chirp
If the Packers are playing, koi might be swimming.

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Other answers:

koi only swims on sundays
come on guys i'm trying to LEARN THIS please.... no joking around.. I would appreciate it..
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
if k = s then b = c b != c thus k!=s
\[p \rightarrow q\]not p therefore, not q. The argument is valid [contrapositive]
how come you both got DIFFERENT answers?
abtrehearn is using not p instead he should be using not q
p --> q ~q .: ~p
but the law of the contrapositive is another way to say modus tollens
ok which is the "correct" way to say it jim?
not sure which one your book uses
i believe it the modus
My mistake.
have you seen that term before?
jim is right
well you have the law of contrapositive correct (since that's just another way of saying modus tollens)
yes i have seen that term before jim
ok then that's one way to justify your answer
Got the p and q backwards.
ok thank you. for clarifying it jim :)
np

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