Question

If the suspect is found guilty, then he will go to prison.

Which of the following is a logically equivalent statement to the conditional statement above?

If the suspect does not go to prison, then he was not found guilty.
If the suspect goes to prison, then he was found guilty.
If the suspect is not found guilty, then he will not go to prison.
If the suspect is not found guilty, then he will go to prison.

Answer 1

second one sounds like the converse of the statement

Answer 2

third one sounds like negation

Answer 3

first one is contrapositive

Answer 4

second sentence would probably be equivalent....the last one is crazy but hey you never know with the cops in real life these days. They jail anyone now

Answer 5

we are looking for a logical equivalence and neither the first and second one is equivalence

Answer 6

then what is it third? sorry man it's been a year since I last did this.

Answer 7

let us try to use letters and symbols instead
if A then B

Answer 8

misspoke

Answer 9

you're right

Answer 10

oh yeah A -> B
or in my book P -> Q OH see! :P

Answer 11

converse of the statement is B... still holds true.. this is like the P -> Q implies table

Answer 12

yes
weren't you just doing set theory last year? laughing out loud

Answer 13

yeah..now I'm doing matlab.. my third code crashed and it was an example one too. ugh

Answer 14

second sentence sounds right for equivalence.

Answer 15

correct

Answer 16

now do you know matlab?

Answer 17

no

Answer 18

:/ I'm wondering why the example code crashed.

Answer 19

Thanks :)

Answer 20

wait the set you did crashed?