Recent content by e271828

do you know what is power set Xn+1=2^Xn ?

You say: LiJunYu third theorem: If a set contains all power set of an infinite set , that is the set B={P(A),P(P(A)),P(P(P(A))),...,Pn(A),...} ,then the cardinality of this set B is limXn (n-- >infinite),for example,the real number set R,B={P(R),P1(R),P2(R),...,Pn(R),...},then the cardinality...

Meaningless axioms: If the cardinality of an infinite set is limit limXn (n-->infinite),or limit limXn (n-->X0) or limit limXn (n-->omega),then this set is meaningless.

"A set can contain its own",such as continuum fraction 2+1/(2+1/(2+1/...)),it is corresponding to set {2,{2,{2,{...}}}},it mean a real number.you can x=2+1/x,you can solv it.

limit limXn (n-->infinite) ,it is equivalent to the concept of the proper class in axiomatic set theory

i am a chinese ,my english is not every good.i want to say:all Pn(R) does not contain its own,and the cardinality of R is X1,the cardinality of P(R) is X2,the cardinality of P(P(R)) is X3...the cardinality of Pn(R) is Xn+1...

Solve the paradox of set theory V7.5 by LiJunYu 2010.12.25 email: myvbvc@tom.com or 165442523@qq.com Brief:All power sets of real number set R: P(R),P(P(R)),P(P(P(R))),...,Pn(R),...Because all Pn(R) does not contain its own,in Russell's paradox,"all sets which does not...