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Logical Principles of a Topological Explanation

Peirce’s iconic logic

Ľudmila Lacková and Lukáš Zámečník
From the journal Chinese Semiotic Studies

Abstract

We aim to demonstrate the applicability of Peirce’s iconic logic in the context of current topological explanations in the philosophy of science. We hold that the logical system of Existential Graphs is similar to contemporary topological approaches, thereby recognizing Peirce’s iconic logic (Beta Graphs) as a valid method of scientific representation. We base our thesis on the nexus between iconic logic and the so-called NonReduction Theorem. We illustrate our assumptions with examples derived from biology (protein folding).

  1. Funding: Lukáš Zámečník was supported in his work on this paper by the Czech Science Foundation (Grant No. 19-04236S “Simplifying Assumptions and Non-causal Explanation”).

Acknowledgements

We would like to thank Claudio Rodríguez Higuera, Arran Gare, and Colin Garrett for their important comments and help with this paper.

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Published Online: 2020-08-19
Published in Print: 2020-08-26

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