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Superficially it seems that we have at least 5 distinct terminologies
covering the same fundamental concepts. They are (I think, but I may have
them mixed up)
In Logic Conjunction & Disjunction
In Set Theory Intersection & Union
In Boolean Algebra AND & OR
In Lattice Theory Meet & Join
In Arithmetic HCF & LCM
Obviously the axiomatics of the different contexts will provide different
interpretations and applicability - but are the different vocabularies all
really necessary or useful - or just confusing ?
Probably I am missing something obvious and/or significant. Perhaps someone
could point out significanly different concepts covered by the respective
vocabularies; or significant advantages of multiple vocabularies for one lot
of concepts.
Otherwise, once again, I can only conclude that Maths (in which for this
post I include Logic) is in its Tower of Babel phase.
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