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Titlebook: Diagrammatic Representation and Inference; 11th International C Ahti-Veikko Pietarinen,Peter Chapman,Sven Linker Conference proceedings 202

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https://doi.org/10.1007/978-3-540-31328-1. In order to do so, we focus on a case study, namely, the investigation that Hippocrates of Chios carried out in the fifth century B.C., concerning the square of the circle by means of lunules. More specifically, we analyze the discussion regarding two versions that Simplicius presented about the f
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https://doi.org/10.1007/978-3-658-29955-2es constitute proof of IVT. Giaquinto’s[.] points out that a real continuous but nowhere differentiable function lacks a curve, therefore diagrammatic evidence must be restricted to smooth functions. By applying newly-shaped concepts such as . and . . to rational and real maps, ., ., he comes to the
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https://doi.org/10.1007/978-3-658-11078-9Our aim here is to show Wallis’s own reliance on three non-constructive diagrammatic inferences that are not (fully) explicit in his own supplement to Euclid’s axioms. Namely, there is . an implicit assumption concerning the possibility of motion; . an implicit assumption about the continuous nature
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https://doi.org/10.1007/978-3-476-00455-0presentational components, specified as cognitive schemas, that span internal mental and external physical aspects of representations. The structure of diverse and complex example representations are analyzed. Twenty-three requirements that a general theory of representations must address are presen
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https://doi.org/10.1007/978-3-476-00455-0ns may not be entirely correct. Yet experience tells that such diagrams are not entirely useless..In this paper, we describe a semantic theory of representation, which naturally explains the utility of erroneous diagrams. In particular, the theory captures the possibility of obtaining true pieces of
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