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Mathematics 14 Online
OpenStudy (anonymous):

What conclusion, if any, can be made from the statement below? If you were born in Fort Lauderdale, then you were born in Florida. Jamie was not born in Florida. Jamie was born in Fort Lauderdale. Jamie was not born in Fort Lauderdale. Jamie was born in Florida. No conclusion can be made.

OpenStudy (anonymous):

would it be the 4th one

Directrix (directrix):

p --> q ~q ---------- Therefore, ~ p ~ means "not"

Directrix (directrix):

>>would it be the 4th one Why? @heatherg75 How do you know that?

Directrix (directrix):

These are tricky which is why a valid reasoning pattern is helpful.

OpenStudy (anonymous):

the 2nd one cause she was not born in fort laudedale

Directrix (directrix):

p --> q Born in Ft. L ---> Born in FL ~q Not born in Fl ---------- ----------------------------- Therefore, ~ p Not Born in Ft L

Directrix (directrix):

The reason pattern is that of reasoning from the contrapositive.

Directrix (directrix):

Think about it this way. p makes q happen, q did not happen, therefore, p did not happen

Directrix (directrix):

In this example, p did not happen corresponds to "not born in Fort Lauderdale and specifically "Jamie was not born in Fort Lauderdale."

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