Recent content by Kniazi
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Graduate Russel's Paradox: Understanding Sets and Contradiction in Proofs
Twoslit, thank you so much, I really appreciate it. :)- Kniazi
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Russel's Paradox: Understanding Sets and Contradiction in Proofs
Ok. We assumed that N cannot contain sets belonging to themselves. After we plugged it into the statement, we got: "N is not an element of itself so N belongs in N". But that just contradicts the fact that N is not an element of itself? And that contradiction is the paradox.- Kniazi
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Russel's Paradox: Understanding Sets and Contradiction in Proofs
Prove Russel's paradox by contradiction and what does it tell us about sets? I tried doing it like this and I am not sure it is right. I supposed S was the collection of all sets and since S is a set S∈S. Now we can split this universe S into two parts: U(for the unusual that are part of...- Kniazi
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- Paradox
- Replies: 5
- Forum: Set Theory, Logic, Probability, Statistics