# Meaning of Either [duplicate]

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

• I understand it looks like a duplicate. I guess it's ambiguous in english, as I've seen it used both ways. – polyhedron Aug 31 '16 at 2:47
• In formal logic, you would generally translate it to just OR, rather than XOR. So the "either" has no formal meaning. But in practice, in natural language mathematics it is ambiguous whether the "either" is meant to imply that only one case can hold. – Carl Mummert Aug 31 '16 at 2:50

• In my experience, either P or Q is an ambiguous English sentence, sometimes meaning P or Q and sometimes meaning P xor Q. – Zev Chonoles Aug 31 '16 at 2:46