Name
Abstract | ||
|---|---|---|
We present an account of a process by which different conceptualisations of number can be blended together to form new conceptualisations via recognition of common features, and judicious combination of their distinctive features. The accounts of number are based on Lakoff and Nunez's cognitively-based grounding metaphors for arithmetic. The approach incorporates elements of analogical inference into a generalised framework of conceptual blending, using some ideas from the work of Goguen. The ideas are worked out using Heuristic-Driven Theory Projection (HDTP, a method based on higher-order anti-unification). HDTP provides generalisations between domains, giving a crucial step in the process of finding commonalities between theories. In addition to generalisations, HDTP can also transfer concepts from one domain to another, allowing the construction of new conceptual blends. Alongside the methods by which conceptual blends may be constructed, we provide heuristics to guide this process. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cogsys.2011.01.004 | Cognitive Systems Research |
Keywords | Field | DocType |
analogical inference,heuristic-driven theory projection,computational account,common feature,anti-unification,new conceptual blend,different conceptualisations,conceptual blending,cognitively-based grounding metaphor,hdtp,analogy,new conceptualisations,conceptual blend,basic mathematics,crucial step,mathematical cognition,mathematical reasoning,metaphor,higher order | Anti-unification,Cognitive science,Inference,Computer science,Conceptual blending,Heuristics,Artificial intelligence,Analogy,Numerical cognition,Machine learning,Metaphor,Mathematical reasoning | Journal |
Volume | Issue | ISSN |
12 | 3-4 | Cognitive Systems Research |
Citations | PageRank | References |
14 | 1.06 | 6 |
Authors | ||
8 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Markus Guhe | 1 | 105 | 9.01 |
| Alison Pease | 2 | 145 | 17.82 |
| Alan Smaill | 3 | 854 | 86.81 |
| Maricarmen Martínez | 4 | 24 | 3.13 |
| Martin Schmidt | 5 | 21 | 3.05 |
| Helmar Gust | 6 | 143 | 22.86 |
| Kai-uwe Kühnberger | 7 | 211 | 28.67 |
| Ulf Krumnack | 8 | 87 | 13.03 |