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nuuskur replied to the thread Undergrad About the existence of Hamel basis for vector spaces.Oh it gets much worse than that. Consider the statement "there is a cardinal number strictly between ##|\mathbb N|## and ##|\mathbb... -
nuuskur replied to the thread Undergrad About the existence of Hamel basis for vector spaces.I don't think it does, Gödel's theorem is about consistency and completeness, roughly stating that you can't have both if your theory is... -
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Let me check my understanding. Consider the statement "R over Q doesn't have an Hamel basis". Is it true ? Who knows, what we can say is...