There is some recent work that builds further on Lambek's pregroups and crucially relies on the categorical structure to assign meaning to sentences: A Compositional Distributional Model of Meaning Stephen Clark, Bob Coecke, Mehrnoosh Sadrzadeh http://www.pps.jussieu.fr/~mehrs/AAAI_2008.pdf Bell States and Negative Sentences in the Distributed Model of Meaning Anne Preller, Mehrnoosh Sadrzadeh http://hal-lirmm.ccsd.cnrs.fr/docs/00/37/50/37/PDF/QPL09.pdf Lambek himself had in the past emphasized similarities between sentence structure and the uses of monoidal categories in physics, ... On Thu, 10 Sep 2009, John Baez wrote:
Pierre Cardscia wrote:
it seemed, but I'm not sure, that the Montreal school worked on that subject
in the past, but this information is unconfirmed ...
Joachim (= Jim) Lambek, at McGill University, has studied linguistics using category theory. You could start here:
http://www.google.com/search?&q=lambek+linguistics
http://wwwhomes.uni-bielefeld.de/gjaeger/lehre/cg_ss00/lambek/lambek58.html
Best,
jb
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