Full Idea
Non-arbitrary division concerns the internal structure of the things falling under a concept. Its point is to ensure that we cannot go on dividing these units arbitrarily and still expect to find more things of the same kind.
Gist of Idea
Non-arbitrary division means that what falls under the concept cannot be divided into more of the same
Source
report of Gottlob Frege (Grundlagen der Arithmetik (Foundations) [1884]) by Kathrin Koslicki - Isolation and Non-arbitrary Division 2.3
Book Reference
-: 'Synthese' [-], p.418
A Reaction
Counting something red is given as an example. This seems to define mass-terms, or stuff.
Related Ideas
Idea 17426 A concept creating a unit must isolate and unify what falls under it [Frege]
Idea 12844 Dissective: stuff is dissective if parts of the stuff are always the stuff [Simons]