We show that the field of the real numbers is an intentional object in the sense specified by Roman Ingarden. An ontological characteristics of a classic example of an intentional object, i.e. a literary character, is developed. There are three principal elements of such an object: the author, the text and the entity in which the literary character forms the content. In the case of the reals the triad consists of Richard Dedekind, his work Stetigkeit und irrationale Zahlen, and the intentional object determined by this work.
Financed by the National Centre for Research and Development under grant No. SP/I/1/77065/10 by the strategic scientific research and experimental development program:
SYNAT - “Interdisciplinary System for Interactive Scientific and Scientific-Technical Information”.