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Created page with "Title: Chung-chieh Shan Main Research Question: How can monads be used to structure natural language semantics? Methodology: The paper introduces the concept of monads and demonstrates how they can be applied to natural language semantics. It presents four monadic analyses to illustrate the approach, including the powerset monad for interrogatives, the pointed powerset monad for focus, the state monad for intensionality, and the continuation monad for variable binding...."
 
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Title: Chung-chieh Shan
Title: Chung-chieh Shan


Main Research Question: How can monads be used to structure natural language semantics?
Research Question: How can we create a variable-free treatment of dynamic semantics?


Methodology: The paper introduces the concept of monads and demonstrates how they can be applied to natural language semantics. It presents four monadic analyses to illustrate the approach, including the powerset monad for interrogatives, the pointed powerset monad for focus, the state monad for intensionality, and the continuation monad for variable binding.
Methodology: The author proposes a variable-free treatment of dynamic semantics. This involves denoting sets of what they traditionally denote in Montague grammar, and assigning types to noun phrases. Nondeterminism is added to any Montague grammar by replacing each semantic type with a transformed type.


Results: The paper shows how monads can be used to uniformly and compositionally state analyses of well-known phenomena in natural language semantics. It also discusses combining monads to account for interactions between semantic phenomena.
Results: The new theory presented here achieves a compositional treatment of dynamic anaphora that does not involve assignment functions, and separates the combinatorics of variable-free semantics from the particular linguistic phenomena it treats. It also makes new empirical predictions, such as the "donkey puzzle" effect.


Implications: The use of monads in natural language semantics allows for a clearer presentation and simplification of analyses. It also increases modularity in the definition of computations, making it easier to revise and extend the semantic theories.
Implications: The integration of variable-free semantics and dynamic semantics gives rise to interactions that make new empirical predictions. This could potentially lead to new insights into linguistic phenomena and the way we process and understand language.


Link to Article: https://arxiv.org/abs/0205026v1
Link to Article: https://arxiv.org/abs/0205027v1
Authors:  
Authors:  
arXiv ID: 0205026v1
arXiv ID: 0205027v1

Revision as of 05:45, 24 December 2023

Title: Chung-chieh Shan

Research Question: How can we create a variable-free treatment of dynamic semantics?

Methodology: The author proposes a variable-free treatment of dynamic semantics. This involves denoting sets of what they traditionally denote in Montague grammar, and assigning types to noun phrases. Nondeterminism is added to any Montague grammar by replacing each semantic type with a transformed type.

Results: The new theory presented here achieves a compositional treatment of dynamic anaphora that does not involve assignment functions, and separates the combinatorics of variable-free semantics from the particular linguistic phenomena it treats. It also makes new empirical predictions, such as the "donkey puzzle" effect.

Implications: The integration of variable-free semantics and dynamic semantics gives rise to interactions that make new empirical predictions. This could potentially lead to new insights into linguistic phenomena and the way we process and understand language.

Link to Article: https://arxiv.org/abs/0205027v1 Authors: arXiv ID: 0205027v1