How was Russell's paradox solved?

[Tiny_Explorer]

How the russels paradox was solved ?

 

[Matterwave]

The axioms of set theory, ZFC, prohibit arbitrary (unrestricted) comprehension and allow only (restricted) comprehension from another set.

For example, you may specify the set $\{x\in\mathbb{N}| x>5\}$ but you may not, strictly speaking, do $\{x|x>5\}$. In other words, you need to say which set you are filtering down when you do restricted comprehension.

Hence, Russell's construction $\{x|x\notin x\}$ is prohibited and the paradox can not arise.

 

[pines-demon]

How the russels paradox was solved ?

Please show some effort. Did you at least Google it?

 

[berkeman]

Thread closed for Moderation.

 

[berkeman]

How the russels paradox was solved ?

Please show some effort. Did you at least Google it?

@Tiny_Explorer -- in your future thread starts, please put some effort into trying to answer your question yourself. If you are not able to, then start a new thread and post links to your reading and ask questions about that reading so we can help you understand it. Thank you.

This thread will remain closed. You can start a new thread about this subject as long as you show your efforts to figure out the question.