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Conceptual Integration of Arithmetic Operations With Real‐World Knowledge: Evidence From Event‐Related Potentials
Authors:Amy M. Guthormsen  Kristie J. Fisher  Miriam Bassok  Lee Osterhout  Melissa DeWolf  Keith J. Holyoak
Affiliation:1. Los Alamos National Laboratory;2. Microsoft Studios;3. University of Washington;4. University of California, Los Angeles
Abstract:Research on language processing has shown that the disruption of conceptual integration gives rise to specific patterns of event‐related brain potentials (ERPs)—N400 and P600 effects. Here, we report similar ERP effects when adults performed cross‐domain conceptual integration of analogous semantic and mathematical relations. In a problem‐solving task, when participants generated labeled answers to semantically aligned and misaligned arithmetic problems (e.g., 6 roses 2 tulips  = ? vs. 6 roses + 2 vases  = ?), the second object label in misaligned problems yielded an N400 effect for addition (but not division) problems. In a verification task, when participants judged arithmetically correct but semantically misaligned problem sentences to be “unacceptable,” the second object label in misaligned sentences elicited a P600 effect. Thus, depending on task constraints, misaligned problems can show either of two ERP signatures of conceptual disruption. These results show that well‐educated adults can integrate mathematical and semantic relations on the rapid timescale of within‐domain ERP effects by a process akin to analogical mapping.
Keywords:Analogical mapping  Mathematical reasoning  Semantic alignment     ERP     N400 effect  P600 effect
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