I find that often, in technical writing, I want to specify that or is non-exclusive: or ≠ xor; or = and/or.
(Stylistically, "and or" is terrible and gets tiresome quickly;)
As an example of the type of ambiguity that can arise, see I need clarification on the use of the word “either”.
If one has established an "xor" in natural language, "or" can be assumed to be non-exclusive can be assumed, but that may not be explicit enough.
- Has attempted to introduce, even unsuccessfully, a contraction for "non-exclusive or" that relates symbolically to xor?
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Russel & Whitehead used "v" as a symbol. [See: Symbol for 'Or']
See also: Does “or” mean both conditions?