Russel's paradox is a man made nonsense sentence that has no real world importance or value. You can make many more such paradoxes. Godel used a similar paradox to show mathematics incompleteness. Godel's incompleteness theorems are misinterpreted. What it really shows is that if you use a nonsense paradox and classical logic what happens is that the logic tells you it can not handle nonsense. That is not surprising nor profound.
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Russel's paradox is a man made nonsense sentence that has no real world importance or value. You can make many more such paradoxes. Godel used a similar paradox to show mathematics incompleteness.
Godel's incompleteness theorems are misinterpreted. What it really shows is that if you use a nonsense paradox and classical logic what happens is that the logic tells you it can not handle nonsense. That is not surprising nor profound.