What is category theory to cognitive science? Compositional representation and comparison
Category theorists and cognitive scientists study the structural (analogical) relations between domains of interest albeit in different contexts, that is, formal and psychological systems, respectively. Despite this basic commonality, very few cognitive scientists take a category theory approach tow...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-11-01
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| Series: | Frontiers in Psychology |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fpsyg.2022.1048975/full |
| _version_ | 1811189588630175744 |
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| author | Steven Phillips |
| author_facet | Steven Phillips |
| author_sort | Steven Phillips |
| collection | DOAJ |
| description | Category theorists and cognitive scientists study the structural (analogical) relations between domains of interest albeit in different contexts, that is, formal and psychological systems, respectively. Despite this basic commonality, very few cognitive scientists take a category theory approach toward understanding the structure of cognition which raises the question, What is category theory to cognitive science? An answer is given as the slogan “Category theory is to cognitive science as functor is to representation; as natural transformation is to comparison” to make category theory more accessible and informative for cognitive scientists. |
| first_indexed | 2024-04-11T14:38:16Z |
| format | Article |
| id | doaj.art-2f0838989f4748e08cd8e535201bb5d3 |
| institution | Directory Open Access Journal |
| issn | 1664-1078 |
| language | English |
| last_indexed | 2024-04-11T14:38:16Z |
| publishDate | 2022-11-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Psychology |
| spelling | doaj.art-2f0838989f4748e08cd8e535201bb5d32022-12-22T04:18:13ZengFrontiers Media S.A.Frontiers in Psychology1664-10782022-11-011310.3389/fpsyg.2022.10489751048975What is category theory to cognitive science? Compositional representation and comparisonSteven PhillipsCategory theorists and cognitive scientists study the structural (analogical) relations between domains of interest albeit in different contexts, that is, formal and psychological systems, respectively. Despite this basic commonality, very few cognitive scientists take a category theory approach toward understanding the structure of cognition which raises the question, What is category theory to cognitive science? An answer is given as the slogan “Category theory is to cognitive science as functor is to representation; as natural transformation is to comparison” to make category theory more accessible and informative for cognitive scientists.https://www.frontiersin.org/articles/10.3389/fpsyg.2022.1048975/fullcategory theorycategoryfunctornatural transformationanalogymatrix reasoning |
| spellingShingle | Steven Phillips What is category theory to cognitive science? Compositional representation and comparison Frontiers in Psychology category theory category functor natural transformation analogy matrix reasoning |
| title | What is category theory to cognitive science? Compositional representation and comparison |
| title_full | What is category theory to cognitive science? Compositional representation and comparison |
| title_fullStr | What is category theory to cognitive science? Compositional representation and comparison |
| title_full_unstemmed | What is category theory to cognitive science? Compositional representation and comparison |
| title_short | What is category theory to cognitive science? Compositional representation and comparison |
| title_sort | what is category theory to cognitive science compositional representation and comparison |
| topic | category theory category functor natural transformation analogy matrix reasoning |
| url | https://www.frontiersin.org/articles/10.3389/fpsyg.2022.1048975/full |
| work_keys_str_mv | AT stevenphillips whatiscategorytheorytocognitivesciencecompositionalrepresentationandcomparison |