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Full Idea
The empty set Φ is a subset of every set (including itself).
Gist of Idea
The empty set Φ is a subset of every set (including itself)
Source
Graham Priest (Intro to Non-Classical Logic (1st ed) [2001], 0.1.6)
Book Ref
Priest,Graham: 'Introduction to Non-Classical Logic' [CUP 2001], p.-6
13444 | Cantor's Theorem: for any set x, its power set P(x) has more members than x [Cantor, by Hart,WD] |
18098 | Cantor proved that all sets have more subsets than they have members [Cantor, by Bostock] |
10537 | The ordered pairs <x,y> can be reduced to the class of sets of the form {{x},{x,y}} [Dummett] |
9680 | The empty set Φ is a subset of every set (including itself) [Priest,G] |