Being and explanation

Division

διαίρεσις

diairesis

Diairesis is division; related forms express whether something can be divided.

From the book

Stobaeus, Volume I

John Stobaeus · Diotimos Editions · 2026

Browse this book’s lexicon →

Orientation

At a Glance

  • The wordDiairesis is division; related forms express whether something can be divided.
  • In StobaeusThe Aristotelian notice allows bodies to be divided without limit potentially but not actually.
  • In this editionThe English preserves “divisible” as a modal claim.
  • A place to beginPotential and actual infinite division are distinguished.
English renderings
division; divisibility

Meaning

Diairesis is division; related forms express whether something can be divided. The possibility of further division differs from an already completed infinite partition.

Use in the book

The Aristotelian notice allows bodies to be divided without limit potentially but not actually. Chrysippus’ report extends unlimited divisibility to body and to surface, line, place, void, and time, while denying that a body is therefore composed of infinitely many bodies. Democritus supplies a contrasting endpoint in things without parts. The chapter’s disagreement concerns both limits and the relation between division and composition.

Places to read

  1. I.14.1bPotential and actual infinite division are distinguished.
  2. I.14.1c.1Dividing magnitudes is associated with continuity.
  3. I.14.1eUnlimited divisibility does not imply an infinite collection of constituents.
  4. I.14.1gPartless things terminate division in the rival account.

Translation in this edition

The English preserves “divisible” as a modal claim. It does not imply that every possible division has already occurred.

Source note

Wachsmuth, volume I, printed pp. 141–143.