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[lojban] Re: Category theory in lojban, or coining words



coi

What this suggests me is that some inheritance mechanism is necessary.

For instance, one can argue that addition in the case of natural
numbers is a particular case of concatenation for sequences of the
same unit "I".

(i.e.:  III & IIII = IIIIIII captures the meaning of 3 + 4 = 7, yet
concatenation is more general than addition, for IIJ & JJII = IIJJJII
has no equivalent in the natural integers set)

So, if there were a word for "concatenation", say this is the word C,
it should bear some relation with the word for "integer addition", say
it is the word A.

C ---> A

For the same reason, "integer addition" should bear a strong
relationship with real addition, or complex addition.

Natural languages resolve this problem by using the word "sum" for all
additions, and by coining usages of "con-caten-ation", or ' other
types of "sums" ' for the other cases...

Regards

-- .esk

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