A quick definition clarification: Does the set $\{(x,y):x =0 \,\,\,\,\text{or} \,\,\,\,y=1 \}$ include the element $(0,1)$? (Sorry, English is not my first language, I get confused sometimes... Also sorry that this may not be a very good math question.) Thanks.
Definition of "or"
3
$\begingroup$
definition
2 Answers
4
Yes. In mathematical contexts, A or B means that A is true and B is false, or B is true and A is false, or that both are true.
-
6@defor The usage of OR as in this answer (and also in "sugar or milk?") is commonly called an *inclusive or*. In contrast, the one in "tea or coffee?" is an *exclusive or*. In mathematical writing, we conventionally use inclusive or's unless otherwise mentioned. – 2011-11-09
0
Yes, or means that at least one of the conditions is true, leaving the possibility that both are true at the same time. Mathematically "or" is not used as we use in current language.