Re: categories and linguistic

Re: categories and linguistic

[Andre.Rodin]

Dear Pierre,
I heard from Christian Houzel that he worked on this subject long ago but never
published. He gave recently in ENS a talk  on this subject, I copy his abstract
below.
best,
Andrei

Les productions des langues naturelles se présentent comme des concaténations
d'éléments. On peut traduire mathématiquement la concaténation par la loi de
composition d'un monoïde. Mais toute suite de mots ne constitue pas
une phrase ; il faut une structure syntaxique. De telles structures constituent
les morphismes d'une catégorie monoïdale. Les théories interprétatives, comme
la phonologie ou la sémantique introduisent des filtres additionnels, qu'il
paraît convenable de prendre en compte au moyen d'une topologie convenable. Une
théorie interprétative est alors représentée par un faisceau sur un site
convenable.






Selon Pierre Cardascia <p.cardascia@yahoo.fr>:

> Hello, dear categorists,
> My name is Pierre Cardascia, I'm student of mathematics and philosophie in
> Lille, France. last year, I wrote for my research director Shahid Rahman a
> paper about categorical logic; and for this year, he wants me to focus on
> linguistic (for some obscure but good reasons). So we decided to reintroduce
> my former work and to explore more and more the land of catégories.
> The main problem is that I haven't any clue of where I must begin such a
> work. I asked the neighour laboratory of linguistic : nothing. So I write you
> with the hope that somebody can give me some hints to guide my research :
> references, actual problems, advises ... it seemed, but I'm not sure, that
> the Montreal school worked on that subject in the past, but this information
> is unconfirmed ...
>
> Thanks you !
>
> Pierre CARDSCIA


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