Geodesic
Grammar as Mathematics
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 257-273

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While there are a small number of reasonably deep theorems in mathematical linguistics, I wish to argue that grammar is mathematics at a very basic level, albeit "trivial" mathematics. Linguistic activities such as the production and recognition of sentences are quite analogous to the mathematical activities of proving theorems or making calculations, while learning a language involves something akin to the discovery or invention of postulates. 
Lambek, J. Grammar as Mathematics. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 257-273. doi: 10.4153/CMB-1989-039-x
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     title = {Grammar as {Mathematics}},
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     doi = {10.4153/CMB-1989-039-x},
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