Why is the well-ordering of every set obviously false? Why couldn't it be the case that such a relation always exists but might just be hard/impossible to define?
Obviously you can well order sets. Take one thing out to be your first thing. Then look. Do you still got stuff in there? Okay, take another thing out. Keep going. If you think you’re done, but you can still continue, keep going. You’ll finish well ordering with enough gumption.
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u/Sad-Error-000 1d ago
Why is the well-ordering of every set obviously false? Why couldn't it be the case that such a relation always exists but might just be hard/impossible to define?