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Full Idea
Cantor's Theorem says that for any set x, its power set P(x) has more members than x.
Gist of Idea
Cantor's Theorem: for any set x, its power set P(x) has more members than x
Source
report of George Cantor (works [1880]) by William D. Hart - The Evolution of Logic 1
Book Ref
Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.16
18098 | Cantor proved that all sets have more subsets than they have members [Cantor, by Bostock] |
13444 | Cantor's Theorem: for any set x, its power set P(x) has more members than x [Cantor, by Hart,WD] |
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] |