Seneca’s and Porphyry’s Trees in Modern Interpretation

In Jens Lemanski & Ingolf Max (eds.), Historia Logicae and its Modern Interpretation. London: College Publications. pp. 61-87 (2023)
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Abstract

This paper presents an analysis of Seneca's 58th letter to Lucilius and Porphyry's Isagoge, which were the origin of the tree diagrams that became popular in philosophy and logic from the early Middle Ages onwards. These diagrams visualise the extent to which a concept can be understood as a category, genus, species or individual and what the method of dihairesis (division) means. The paper explores the dissimilarities between Seneca's and Porphyry's tree structures, scrutinising them through the perspective of modern graph theory. Although traditional trees can be interpreted in a modern way, their terms and definitions defy modern standardisation. These distinctions are not only useful for differentiating between Seneca's and Porphyry's trees, but also for comprehending the evolution of this philosophical tradition. Thus the paper highlights the continued significance of these tree diagrams in analysing concepts and categories in philosophy and structuring objects and information in modern fields such as artificial intelligence, computer science, bioinformatics, graph theory, and many more.

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Jens Lemanski
University of Münster

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References found in this work

Introduction to logic.Patrick Suppes - 1957 - Mineola, N.Y.: Dover Publications.
World and Logic.Jens Lemanski - 2021 - London, Vereinigtes Königreich: College Publications.
The Generality of Kant's Transcendental Logic.Clinton Tolley - 2012 - Journal of the History of Philosophy 50 (3):417-446.
Diagrams as Centerpiece of a Peircean Epistemology.Frederik Stjernfelt - 2000 - Transactions of the Charles S. Peirce Society 36 (3):357 - 384.

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