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[lojban] Re: Category theory in lojban, or coining words
I studied in preparatory classes for engineer schools and got an
admissible status to Ecole Normale, then pursued to a license level.
But this was a long time ago, and I shifted to cognitive sciences, and
linguistics later, so my memories are not so fresh as those of still-
studying maths guys...
I know some abstract algebra, a little complex analysis and p-adic
math, calculus, graph theory, probability, statistics, but I never
thoroughly dipped into category theory.
At any rate, I still remember enough of maths to argue, say, that in
theory set the "somme disjointe" and cartesian product do recall some
properties of addition and multiplication, for instance. I'm quite
sure that every mathematician will agree that the disjunct sum of { a,
b, c } and { a, b } is << like >> the sum of 3 and 2, whereas the
cartesian product { a, b, c } X { a, b } captures the properties of
the product 3 x 2 = 6. This is rather intuitive, but I think it is
the kernel of linguistic considerations about what mathematical beings
carry with themselves at linguistic level.
-- .esk
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