Russell's paradox derives directly from Basic Law V: the concept 'x is an extension that does not contain itself' yields an extension that both contains and does not contain itself.

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Basic Law V(Foundational axiom of Frege's logicist program): Frege's axiom committing to the existence of a set corresponding to every predicate; also called the unrestricted Comprehension Axiom
Bertrand Russell: Bertrand Russell was a British philosopher, logician, and social activist (1872-1970) who became famous for trying to show that mathematics could be built from pure logic, and for his clear, witty writing that made complex ideas accessible to everyday readers. He also became a public intellectual who spoke out on major issues like nuclear weapons, religion, and social justice, earning the Nobel Prize in Literature in 1950. Today, he's remembered as one of the most important thinkers of the 20th century who believed philosophy should tackle real-world problems, not just abstract puzzles.
Contains itself(the self-referential idea that creates the paradox): A property where a collection is a member of itself—like if a catalog of all catalogs had to include itself as one of the catalogs it lists.
Russell's paradox(Independently discovered by Zermelo and Russell)

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