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

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AMBI

Transductive Reconstruction of Hippocrates’ Dynamical Geometrical Diagrams. 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

爆米花

Counting Mathematical Diagrams with Machine Learningumber of in-depth case studies of how diagrams are used in mathematical practice. Though highly interesting, the study of diagrams still largely lack . investigations which can provide vital background information regarding variations e.g. in the frequency or type of diagrams used in mathematics pub

Overdose

Modes of Continuity in Diagram for Intermediate Value Theoremes 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

Repetitions

Modes of Diagrammatic Reasoning in Euclid’s he diagrams in terms of a balance between the visual and theoretical components involved in a proposition. We consider theoretical components to consist of definitions, ., ., and references to previous propositions. The residuum makes the visual part of the proof. Through analysis of propositions I.

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A Diagram of Choice: The Curious Case of Wallis’s Attempted Proof of the Parallel Postulate and the Our 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

強(qiáng)壯

A Sketch of a Theory and Modelling Notation for Elucidating the Structure of Representationspresentational 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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Modality and Uncertainty in Data Visualizations: A Corpus Approach to the Use of Connecting Lines The goal of this article is to find out how this semiotic potential is realized in current best practices of data visualizations and what conventions exist for the visual manifestations of these functions. This issue is addressed by using a corpus-based approach and a two-level analysis method with

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