more from Michael Jubien

Single Idea 9969

[catalogued under 9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta]

Full Idea

The empty set is the pure abstract object par excellence.

Gist of Idea

The empty set is the purest abstract object


Michael Jubien (Ontology and Mathematical Truth [1977], p.118 n8)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.118

A Reaction

So a really good PhD on the empty set could crack the whole nature of reality. Get to work, whoever you are!

Related Ideas

Idea 13199 The empty set may look pointless, but many sets can be constructed from it [Enderton]

Idea 10811 The null set plays the role of last resort, for class abstracts and for existence [Lewis]