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A Category-theoretic Interpretation of the Homology Concept in Biology

Suzuki, Daichi and Hayato, Saigo (2025) A Category-theoretic Interpretation of the Homology Concept in Biology. [Preprint]

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Abstract

Homology is a fundamental but controversial concept in biology, referring to the sameness of biological characters across organisms. Despite its crucial role, its ontological nature has been a subject of intense debate, with a dichotomy between individualist and natural kind views. This study proposes a category-theoretic framework to reconcile these views by emphasizing the processual nature of homology. We first review major philosophical views of homology with their respective advantages and disadvantages. Next, we highlight the dynamic and evolving nature of homologs through two thought experiments. Through mathematical formulation, we then show that the individualist and natural kind views represent ordered set- and groupoid-like aspects, derived from a primary category-theoretical model based on a process-first dynamic view of homology. Our model covers a
wide range of phenomena linked with homology, such as atavism, deep homology, and developmental system drift (DSD). Furthermore, it provides a unified perspective on the ontological nature of homology, overcoming the longstanding dichotomy between individuals and kinds in Western philosophy.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Suzuki, Daichisuzuki.daichi.gp@u.tsukuba.ac.jp0000-0003-3742-183X
Hayato, Saigoharmoniahayato@gmail.com
Keywords: homology, category theory, ontology, individual, natural kind
Subjects: Specific Sciences > Biology
Depositing User: Dr. Daichi Suzuki
Date Deposited: 07 Apr 2025 14:04
Last Modified: 07 Apr 2025 14:04
Item ID: 25010
Subjects: Specific Sciences > Biology
Date: 2025
URI: https://philsci-archive.pitt.edu/id/eprint/25010

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