Meaning of Either

Question

I can't figure out what is meant in my text books with the "Either / Or" statements. I'm in a math proof class trying to wrap my head around this. See example below.

Either Jim or Bob has red hair
P = Jim has red hair
Q = Bob has red hair

Does this mean:

P v Q

or

(P v Q) ^ (~P v ~Q)

Thanks

Answer 1

There is nothing to get confused. Imagine what any person who has not studied mathematics beyond high school would understand by this statement. It is exactly that.