[Verse 1] Bertrand Russell posed a question that would shake the world What happens when we gather sets in ways that twist and curl Imagine all the sets that never hold themselves inside A catalog of outsiders with nowhere left to hide [Chorus] Russell's paradox is knocking at the door Self-devouring sets can't exist anymore If it holds itself then it cannot belong If it stays outside then the logic goes wrong Contradiction's dancing in the mirror Self-reference makes the truth unclear [Verse 2] Picture every library that doesn't list its name Within its own directory, playing logic's game Should this meta-catalog include itself or not Either choice will trap you in a philosophical knot [Chorus] Russell's paradox is knocking at the door Self-devouring sets can't exist anymore If it holds itself then it cannot belong If it stays outside then the logic goes wrong Contradiction's dancing in the mirror Self-reference makes the truth unclear [Bridge] Like a sentence claiming that it tells a lie Eating its own tail until the meaning dies Gödel heard the echo, Cantor felt the sting When infinity meets logic, chaos starts to sing [Verse 3] So we learned to build our mathematics with more care Axioms and boundaries to keep the demons there ZFC set theory draws the lines we cannot cross Russell saved us from the infinite loss [Final Chorus] Russell's paradox was knocking at the door Self-devouring sets can't exist anymore Now we know the limits where our logic must bend Self-reference without rules brings mathematics to an end Contradiction's sleeping in the corner Truth needs rules to make it stronger
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