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  1. Representational Structures of Arithmetical Thinking: Part I.Wojciech Krysztofiak - 2016 - Axiomathes 26 (1):1-40.
    In this paper, representational structures of arithmetical thinking, encoded in human minds, are described. On the basis of empirical research, it is possible to distinguish four types of mental number lines: the shortest mental number line, summation mental number lines, point-place mental number lines and mental lines of exact numbers. These structures may be treated as generative mechanisms of forming arithmetical representations underlying our numerical acts of reference towards cardinalities, ordinals and magnitudes. In the paper, the theoretical framework for a (...)
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  • Lost in "Conceptual Space": Metaphors of Conceptual Integration.L. David Ritchie - 2004 - Metaphor and Symbol 19 (1):31-50.
    Conceptual integration theory (Fauconnier & Turner, 1998, 2002) is re-examined in the light of recent criticisms (e.g., Gibbs, 2000, 2001). It is argued that the assumption of four independent "cognitive spaces" enters the model primarily as an entailment of the "space," "blending," and "construction" metaphors, leads to unnecessary ambiguity, and works against statement of the theory in a form that supports derivation of testable hypotheses. Several examples from Fauconnier and Turner (2002) are analyzed to show that they can be interpreted (...)
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  • Meaning and interpretation: The semiotic similarities and differences between Cognitive Grammar and European structural linguistics.Klaas Willems - 2011 - Semiotica 2011 (185):1-50.
    The theoretical and methodological underpinnings of the cognitive paradigm have traditionally been discussed against the background of generative grammar, its immediate predecessor. A significantly less researched yet no less interesting relationship is the one between the cognitive and structuralist paradigm. This article focuses on the in part converging, in part diverging semiotic assumptions underlying European structural linguistics and Cognitive Grammar. A comparison of important concepts of both theories shows that, although Cognitive Grammar arrives at a more realistic understanding of how (...)
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