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What is the meaning of “meaning”? A case study from graphing
Authors:Wolff-Michael Roth
Affiliation:Applied Cognitive Science, MacLaurin Building A548, University of Victoria, Victoria, BC, Canada V8W 3N4
Abstract:This article raises questions about the meaning of “meaning,” which often is understood in terms of the referent or interpretant (sense) of mathematical signs. In this study, which uses data from an interview study with scientists who were asked to read graphs from their own work, a phenomenologically grounded approach is proposed with the intent to contribute toward a more appropriate theory of meaning. I argue that graphs accrue to meaning — which always arises from already existing, existential understanding of the world more generally and the workplace in particular — rather than having or receiving meaning from some place or person. We experience graphs as meaningful exactly at the moment when they are integral to a world that we already understand in an existential but never completely determinable way.
Keywords:Graphs   Meaning   Understanding   Embodied mathematics   Workplace mathematics
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