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Mathematics 18 Online
OpenStudy (anonymous):

Is the following conditional statement true or false? If the grass is red, then the snow is white.

jimthompson5910 (jim_thompson5910):

that's all you're given? or are you given the truth values of "the grass is red" and "the snow is white"?

OpenStudy (zzr0ck3r):

is there any red grass?

OpenStudy (zzr0ck3r):

I guess one could paint it...

OpenStudy (dan815):

not until you show me ever piece of grass

OpenStudy (anonymous):

sooo false

OpenStudy (zzr0ck3r):

we do not have enough information to answer this

OpenStudy (zzr0ck3r):

if you are a boy, you are not a girl this depends on the truth value of you being a boy or not

OpenStudy (dan815):

i think your statment is true

OpenStudy (zzr0ck3r):

if we are to assume there is no red grass, then the antecedent is false and thus the statement is true

jimthompson5910 (jim_thompson5910):

if "the grass is red" is false and "the snow is white" is true, then the overall statement is true in general, the conditional "If P, then Q" is only false when P is true and Q is false

OpenStudy (dan815):

because the grass can be red, and the snow will still be white

OpenStudy (zzr0ck3r):

its true when p,q are false

OpenStudy (zzr0ck3r):

if 2=4 then 3=5

OpenStudy (dan815):

does this statement mean if the grass if then only then the snow is white?

OpenStudy (dan815):

if the grass is red* only then the snow is white?

OpenStudy (zzr0ck3r):

a implies b if a is false the statement is true

OpenStudy (dan815):

whats the contrapositive to this statment if the grass is not red, then the snow is not white?

OpenStudy (zzr0ck3r):

no if the snow is not white, then the grass is not red

OpenStudy (dan815):

oh ok

OpenStudy (dan815):

FallseeEEEeeee

OpenStudy (dan815):

undetermined

OpenStudy (dan815):

fallacious statement

OpenStudy (zzr0ck3r):

undetermined, unless we are to assume grass is never red, but even if it does not grow red, and I don't know if it does, one could paint it red.

OpenStudy (dan815):

red grass does grow

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