In mathematics, "or" can have different meanings, depending on the context and the logic used. Generally speaking, "or" is usually interpreted as an alternative relationship, that is, at least one of the two options is true or both are true.

In some cases, or can contain the possibility that both options are true, which is called "inclusive OR" or (OR). The truth table of its logical operation is as follows:

A B (A or b)

Really, really.

True or false.

true and false

False false false false.

As can be seen from the truth table above, in the case of "or not", when both options are true, the whole proposition is also true.

It is worth noting that in other cases, "OR" can also be interpreted as excluding the possibility of both being established at the same time, which is called "exclusive OR". The truth table of XOR logic operation is as follows:

A B (A xor b)

Right or wrong

True or false.

true and false

False false false false.

Therefore, according to the context and the logic used, "or" can have different meanings in mathematics.