On the Quantum-like Contextuality of Ambiguous Phrases

• URL: http://arxiv.org/abs/2107.14589v1
• Date: Mon, 19 Jul 2021 13:23:42 GMT
• Title: On the Quantum-like Contextuality of Ambiguous Phrases
• Authors: Daphne Wang, Mehrnoosh Sadrzadeh, Samson Abramsky, Victor H. Cervantes
• Abstract summary: We show that meaning combinations in ambiguous phrases can be modelled in the sheaf-theoretic framework for quantum contextuality. Using the framework of Contextuality-by-Default (CbD), we explore the probabilistic variants of these and show that CbD-contextuality is also possible.
• Score: 2.6381163133447836
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Language is contextual as meanings of words are dependent on their contexts. Contextuality is, concomitantly, a well-defined concept in quantum mechanics where it is considered a major resource for quantum computations. We investigate whether natural language exhibits any of the quantum mechanics' contextual features. We show that meaning combinations in ambiguous phrases can be modelled in the sheaf-theoretic framework for quantum contextuality, where they can become possibilistically contextual. Using the framework of Contextuality-by-Default (CbD), we explore the probabilistic variants of these and show that CbD-contextuality is also possible.

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