Interacting Conceptual Spaces
We propose applying the categorical compositional scheme of [6] to conceptual space models of cognition. In order to do this we introduce the category of convex relations as a new setting for categorical compositional semantics, emphasizing the convex structure important to conceptual space applicat...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Open Publishing Association
2016-08-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1608.01402v1 |
| _version_ | 1819084820629684224 |
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| author | Josef Bolt Bob Coecke Fabrizio Genovese Martha Lewis Daniel Marsden Robin Piedeleu |
| author_facet | Josef Bolt Bob Coecke Fabrizio Genovese Martha Lewis Daniel Marsden Robin Piedeleu |
| author_sort | Josef Bolt |
| collection | DOAJ |
| description | We propose applying the categorical compositional scheme of [6] to conceptual space models of cognition. In order to do this we introduce the category of convex relations as a new setting for categorical compositional semantics, emphasizing the convex structure important to conceptual space applications. We show how conceptual spaces for composite types such as adjectives and verbs can be constructed. We illustrate this new model on detailed examples. |
| first_indexed | 2024-12-21T20:54:32Z |
| format | Article |
| id | doaj.art-cdd6d6d91a974ea1aee323c9730f8f0f |
| institution | Directory Open Access Journal |
| issn | 2075-2180 |
| language | English |
| last_indexed | 2024-12-21T20:54:32Z |
| publishDate | 2016-08-01 |
| publisher | Open Publishing Association |
| record_format | Article |
| series | Electronic Proceedings in Theoretical Computer Science |
| spelling | doaj.art-cdd6d6d91a974ea1aee323c9730f8f0f2022-12-21T18:50:38ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802016-08-01221Proc. SLPCS 2016111910.4204/EPTCS.221.2:2Interacting Conceptual SpacesJosef Bolt0Bob Coecke1Fabrizio Genovese2Martha Lewis3Daniel Marsden4Robin Piedeleu5 Univesity of Oxford Univesity of Oxford Univesity of Oxford Univesity of Oxford Univesity of Oxford Univesity of Oxford We propose applying the categorical compositional scheme of [6] to conceptual space models of cognition. In order to do this we introduce the category of convex relations as a new setting for categorical compositional semantics, emphasizing the convex structure important to conceptual space applications. We show how conceptual spaces for composite types such as adjectives and verbs can be constructed. We illustrate this new model on detailed examples.http://arxiv.org/pdf/1608.01402v1 |
| spellingShingle | Josef Bolt Bob Coecke Fabrizio Genovese Martha Lewis Daniel Marsden Robin Piedeleu Interacting Conceptual Spaces Electronic Proceedings in Theoretical Computer Science |
| title | Interacting Conceptual Spaces |
| title_full | Interacting Conceptual Spaces |
| title_fullStr | Interacting Conceptual Spaces |
| title_full_unstemmed | Interacting Conceptual Spaces |
| title_short | Interacting Conceptual Spaces |
| title_sort | interacting conceptual spaces |
| url | http://arxiv.org/pdf/1608.01402v1 |
| work_keys_str_mv | AT josefbolt interactingconceptualspaces AT bobcoecke interactingconceptualspaces AT fabriziogenovese interactingconceptualspaces AT marthalewis interactingconceptualspaces AT danielmarsden interactingconceptualspaces AT robinpiedeleu interactingconceptualspaces |