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Diagrammatic ImmanenceCategory Theory and Philosophy$
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Rocco "Gangle

Print publication date: 2015

Print ISBN-13: 9781474404174

Published to Edinburgh Scholarship Online: September 2016

DOI: 10.3366/edinburgh/9781474404174.001.0001

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Diagrams of Variation: Functor Categories and Presheaves

Diagrams of Variation: Functor Categories and Presheaves

Chapter:
(p.139) Chapter 4 Diagrams of Variation: Functor Categories and Presheaves
Source:
Diagrammatic Immanence
Author(s):

Rocco Gangle

Publisher:
Edinburgh University Press
DOI:10.3366/edinburgh/9781474404174.003.0005

This chapter begins by posing the question of linguistic meaning within the context of the mathematics of category theory. It then explains the notions of functor categories, natural transformations and presheaves. A formal theory of diagrammatic signs building on Peirce’s semiotic theory is presented as a triadic relation among functors, two of which are presheaves. This theory is illustrated by an example from Peirce’s Existential Graphs.

Keywords:   Category theory, Functor categories, Presheaves, Charles S. Peirce, Diagrammatic reasoning, Existential graphs

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