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SATS· 2026Q2

An Artificial Reasoning System Dealing with Thales of Miletus’ Theory of the Soul

Miguel López Astorga

Short summary

Non-Axiomatic Logic resolves the apparent contradiction in Thales of Miletus' theory of the soul, which seems to state that soulless beings possess souls.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Thales of Miletus' theory of the soul appears contradictory, suggesting soulless beings possess souls.
  • This contradiction poses problems for classical logic.
  • Non-Axiomatic Logic, using extensional difference, can resolve this apparent contradiction.
  • Extensional difference allows for the logical relation of inconsistent simple and compound terms.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract The theory of the soul attributed to Thales of Miletus presents a complexity. It seems to imply a contradiction. Thales appears to state that the beings devoid of a soul possess a soul. This claim causes problems with its logical consideration. At least, it reveals problems if it is addressed within the framework of classical logic. In this paper, I try to show that those problems do not exist in Non-Axiomatic Logic. Due to its concept of extensional difference, the latter logic can deal with seemly contradictory theses such as that ascribed to Thales of Miletus. This is because extensional difference allows building compound terms that can be related to simple terms that, in principle, are inconsistent with them.

The authors' abstract, as published at the source. SATS, 2026 · DOI ↗

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Field: Philosophy

PhilosophyArts and Humanities