/sci/ - Science & Math

[Anonymous No.2037618]

hey,
"if a number is positive, then its square is positive"

how would you express the converse, inverse and contrapositive of that statement?

my instant thought (for contrapositive) was if a number is negative its square root is also negative (which is obviously wrong).

my logic is flawed but i dont know how.

any ideas?

[Anonymous No.2037621]

if a positive number is positive, then its square root exists.
Theres a good statement for you.

[Anonymous No.2037639]

your contrapositive doesnt work, because the first statement you made is flawed to begin with

[Anonymous No.2037640]

>homework
>mfw

[Anonymous No.2037641]

Statement:
if a number is positive, then its square is positive

Contrapositive:
If the square of a number is not postive, then the number is not positive

Converse:
If the square of a number is positive, then the number is positive

Inverse:
If a number is not positive, then its square is not positive

\thread

[Anonymous No.2037642]

there's no logic in your statement, how do you expect to do anything logical to it.
"if you have eyes the sky is blue hurr"

[Anonymous No.2037999]

>>2037639
lol no. the original statement is clearly correct. it's just that "not positive" needs to also include imaginary numbers for that contrapositive to make sense.

[Anonymous No.2038006]

>>2037999
It is?
What's (-1)^2. Oh wait, positive. Oh shi-

[Anonymous No.2038084]

>>2038006
-1 is negative, fucktard.

What the original statement is saying is this: if x>0 then x^2 > 0.

Try to disprove that, shithead.

And the contrapositive: if x^2 is not positive then x is not positive (ie. x <= 0 or x is imaginary).

So many fucking retards in this /sci/.

[Anonymous No.2038112]

>>2037641
>Inverse:
>If a number is not positive, then its square is not positive
Negative numbers have positive squares.