4.2 Article

Logic, Spatial Algorithms and Visual Reasoning

Journal

LOGICA UNIVERSALIS
Volume 16, Issue 4, Pages 535-543

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s11787-022-00311-x

Keywords

Abstract machines; Diagrammatic reasoning; Magic squares; Logic diagrams; Square of opposition; Unconventional computing

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This paper discusses the importance of spatial and diagrammatic reasoning in both logical abilities and logical studies, and identifies two main trends in spatial logic research.
Spatial and diagrammatic reasoning is a significant part not only of logical abilities, but also of logical studies. The authors of this paper consider some novel trends in studying this type of reasoning. They show that there are the following two main trends in spatial logic: (i) logical studies of the distribution of various objects in space (logic of geometry, logic of colors, etc.); (ii) logical studies of the space algorithms applied by nature itself (logic of swarms, logic of fungi colonies, etc.).

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