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Mathematics 4 Online
OpenStudy (anonymous):

“A tiger is a cat, and a cat has two legs.” Does "An ostrich is a bird, and a bird has two legs" have the same truth value as the above statement? Or would it be one of the other options which are : 1)A poodle is a dog, or a poodle has two eyes. 2)A poodle is a cat, and a dog has four legs. 3)An ostrich is a bird, or all birds can fly

OpenStudy (experimentx):

I thought cat has four legs!!

OpenStudy (anonymous):

it does

OpenStudy (anonymous):

this is messing with my mind, but i think 1) ?

OpenStudy (experimentx):

if it were four legs, then i think the "An ostrich is a bird, and a bird has two legs" would have same logic.

OpenStudy (anonymous):

the question was originally "“A tiger is a cat, and a cat has two legs.” Which statement has the same truth value as the above statement?"

OpenStudy (experimentx):

Sorry, I would like to correct that. didn't see or.

OpenStudy (experimentx):

@eigenschmeigen what do you think???

OpenStudy (anonymous):

I would think it would be " an ostrich is a bird and a bird has two legs" because it's laid out the same

OpenStudy (experimentx):

Is it English or mathematics?? From the point of view of boolean algebra 2 is correct.

OpenStudy (anonymous):

"A tiger is a cat, and a cat has two legs" is a false statement, and so has "different truth" to: "An ostrich is a bird, and a bird has two legs" 1)A poodle is a dog, or a poodle has two eyes. 2)A poodle is a cat, and a dog has four legs. 3)An ostrich is a bird, or all birds can fly can we rule out the true ones? that's my thoughts so far its kinda hard as i dont know the definition of "the same truth value"

OpenStudy (anonymous):

oooh look here: http://en.wikipedia.org/wiki/Truth-value_link

OpenStudy (anonymous):

nope nevermind that doesnt really help

OpenStudy (anonymous):

This is mathematics, it has to do with proofs

OpenStudy (experimentx):

2)A poodle is a cat, and a dog has four legs. <--- false statement.

OpenStudy (anonymous):

I was just thinking that. It would have to be it since it's both false and true

OpenStudy (experimentx):

3)An ostrich is a bird, OR all birds can fly <-- one of them is true, so it's true.

OpenStudy (anonymous):

This is logic.

OpenStudy (experimentx):

2)A poodle is a cat, AND a dog has four legs. <--- one of them is false so both are false.

OpenStudy (anonymous):

wouldn't it have to be a conditional statement like the one given?

OpenStudy (anonymous):

and 2 is a conditional statement

OpenStudy (experimentx):

No, it's about AND and OR, OR means if one of them is correct, whole statement is correct AND means both of them has to be correct to be true.

OpenStudy (anonymous):

ok. then what would the answer be

OpenStudy (experimentx):

!-_-! read above.

OpenStudy (anonymous):

My best guess "A poodle is a cat, and a dog has four legs"

OpenStudy (anonymous):

Ok, then I had the correct answer down. I got confused before.

OpenStudy (anonymous):

which is the correct answer by your book?

OpenStudy (anonymous):

a poodle is a cat, and a dog has four legs

OpenStudy (experimentx):

I never had heard of poodle before ... lol. If it is mathematics, not english then i think it must be what FFM says.

OpenStudy (anonymous):

Great! I was right :)

OpenStudy (experimentx):

You are barely wrong to begin with.

OpenStudy (anonymous):

The reason is in the first statement one is true and other is false joined by and and the 2nd option only matches this truth-value.

OpenStudy (experimentx):

yes it is ... if it were English i would have said the default one.

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