Question

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.

Answer 1

birds are dependent on koi swimming

Answer 2

if koi dont swim then birds dont chirp

Answer 3

If the Packers are playing, koi might be swimming.

Answer 4

koi only swims on sundays

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

how come you both got DIFFERENT answers?

Answer 10

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

Answer 11

p --> q
~q
.: ~p

Answer 12

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

Answer 13

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

Answer 14

not sure which one your book uses

Answer 15

i believe it the modus

Answer 16

My mistake.

Answer 17

have you seen that term before?

Answer 18

jim is right

Answer 19

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

Answer 20

yes i have seen that term before jim

Answer 21

ok then that's one way to justify your answer

Answer 22

Got the p and q backwards.

Answer 23

ok thank you. for clarifying it jim :)

Answer 24

np