Discrete Math Inclusive or VS Exclusive or

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Question:

Are inclusive or and exclusive or both considered dis-junction ?

My own thinking:

I believe yes, because both inclusive and exclusive or are using or. They just happen to have different symbols.

Reference:

• Inclusive or: To be true, at-least one or both statements are true. Else, false.
• Exclusive or: To be True, Only one statement of p, q can true. Else, false.

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1 Answer

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Of course they are. Both are meant for distinguishing between two alternatives (from here dis-junction). Since they behave differently, it is necessary to add 'inclusive' or 'exclusive' qualification.

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