Mathematical Structure of Syntactic Merge

Matilde Marcolli; Noam Chomsky; Robert Berwick

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arXiv · 2305.18278

Mathematical Structure of Syntactic Merge

Matilde Marcolli·Noam Chomsky·Robert Berwick

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Abstract

The syntactic Merge operation of the Minimalist Program in linguistics can be described mathematically in terms of Hopf algebras, with a formalism similar to the one arising in the physics of renormalization. This mathematical formulation of Merge has good descriptive power, as phenomena empirically observed in linguistics can be justified from simple mathematical arguments. It also provides a possible mathematical model for externalization and for the role of syntactic parameters.

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Matilde Marcolli, Noam Chomsky, Robert Berwick. 2023-05-29. Mathematical Structure of Syntactic Merge. https://arxiv.org/abs/2305.18278

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