Diagrams, Conceptual Space and Time, and Latent Geometry

Axiomathes 32 (6):1483-1503 (2022)
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Abstract

The “origins” of (geometric) space is examined from the perspective of the so-called “conceptual space” or “semantic space”. Semantic space is characterized by its fundamental “locality” that generates an “implicit” mode of geometrizing. This view is examined from within three perspectives. First, the role that various diagrammatic entities play in the everyday life and pragmatic activities of selected ethnic groups is illustrated. Secondly, it is shown how conceptual spaces are fundamentally linked to the meaning effects of particular natural languages and these are very different from the global and universal aspects of Euclidean spaces. Thirdly, it is contended that these modes of creating body and culture-based spatial frameworks and related cosmogonies and cosmologies can be described as forms of “latent geometry” that initially appear unexplainable in any rational way. Nonetheless, and thanks to the deep mathematical reflections provided by René Thom, it is illustrated how the various ways of generating space can be further analyzed as distortions of mainstream spatialization furnished by Euclidean geometry that established the dominant universality of the ideas of space (and time).

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Lorenzo Magnani
Universita' degli Studi di Pavia

Citations of this work

What Proto-logic Could not be.Woosuk Park - 2022 - Axiomathes 32 (6):1451-1482.

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References found in this work

Cognition in the Wild.Edwin Hutchins - 1998 - Mind 107 (426):486-492.
Conceptual Spaces: The Geometry of Thought.Peter Gärdenfors - 2000 - Tijdschrift Voor Filosofie 64 (1):180-181.
Time and free will.Henri Bergson - 1910 - New York,: Humanities Press. Edited by Frank Lubecki Pogson.

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