more from Richard Dedekind

Single Idea 10706

[catalogued under 4. Formal Logic / G. Formal Mereology / 1. Mereology]

Full Idea

Dedekind plainly had fusions, not collections, in mind when he avoided the empty set and used the same symbol for membership and inclusion - two tell-tale signs of a mereological conception.

Gist of Idea

Dedekind originally thought more in terms of mereology than of sets


report of Richard Dedekind (Nature and Meaning of Numbers [1888], 2-3) by Michael Potter - Set Theory and Its Philosophy 02.1

Book Reference

Potter,Michael: 'Set Theory and Its Philosophy' [OUP 2004], p.23

A Reaction

Potter suggests that mathematicians were torn between mereology and sets, and eventually opted whole-heartedly for sets. Maybe this is only because set theory was axiomatised by Zermelo some years before Lezniewski got to mereology.