Full Idea
Because of Dedekind's definition of reals by cuts, there is a bizarre modern doctrine that there are many 1's - the natural number 1, the rational number 1, the real number 1, and even the complex number 1.
Gist of Idea
Dedekind cuts lead to the bizarre idea that there are many different number 1's
Source
Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)
Book Reference
-: 'Philosophical Studies' [-], p.386
A Reaction
See Idea 10572.
Related Idea
Idea 10572 A cut between rational numbers creates and defines an irrational number [Dedekind]