Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (anonymous):

What is the negation of this statement: All girls are pretty.

OpenStudy (amistre64):

there is at least one girl who is not pretty

OpenStudy (anonymous):

why isn't it All girls are not pretty?

OpenStudy (amistre64):

because the negation of Ax is Ex

OpenStudy (anonymous):

i always have trouble with these is it Not all girls are prertty or No girlsa are pretty ????

OpenStudy (amistre64):

-Ax P(x) = Ex -P(x)

OpenStudy (amistre64):

to negate all, you only need 1 counter example

OpenStudy (anonymous):

so !(for all girl in Girls, girl is pretty) is actually there is a girl in Girls, girl is not pretty

OpenStudy (anonymous):

oh i see

OpenStudy (amistre64):

looks like a suitable rendition, yes

OpenStudy (anonymous):

so' not all girls are pretty' is close but too vague perhaps?

OpenStudy (amistre64):

its accurate enough, but they usually want something more

OpenStudy (anonymous):

think of it as negating the whole sentence: not (all girls are pretty)

OpenStudy (amistre64):

It is the case that NOT(all girls are pretty) is a suitable negation

OpenStudy (amistre64):

Not all girls can translate to; theres got to be at least one girl and pretty negates to unprettiful

OpenStudy (anonymous):

right

OpenStudy (amistre64):

of course, this sentance would have more meaning if it was babies and not girls ;)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!