![]() In the case of metaphysics, we argue that embodied mathematics is neutral in the sense of being compatible with all existing accounts of what mathematical entities really are. In this paper, we consider the implications of this research for the metaphysics and epistemology of mathematics. ![]() ![]() Conceptual metaphor theory, a branch of cognitive linguistics, describes how abstract mathematical concepts are grounded in concrete physical representations. A particularly important challenge for embodied approaches to cognition is mathematics, perhaps the most abstract domain of human knowledge. 2Cognitive and Information Sciences, University of California, Merced, Merced, CA, United StatesĮmbodied approaches to cognition see abstract thought and language as grounded in interactions between mind, body, and world.1Department of English Language and Linguistics, University of Birmingham, Birmingham, United Kingdom. ![]()
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