1.(adsbygoogle = window.adsbygoogle || []).push({});

Russell's paradox is:

A={x:x∉x}

Is A a subset of itself?

But my question is:

Let there be a set M such that:

M={1,2,3,4}

The now, one asks if M is a subset of itself. Most probably he would hear a know but,

since M={1,2,3,4} and again I write here M={1,2,3,4}, {1,2,3,4} can be replaced with M.

Thus,

M={1,2,3,4}

M={M}

Thus all sets are subsets of themselves. Now, there is no set x such that x∉x and thus there is no set A where A={x:x∉x}. So where is the paradox?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Russell's paradox

**Physics Forums | Science Articles, Homework Help, Discussion**