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nuuskur reacted to cianfa72's post in the thread I About the existence of Hamel basis for vector spaces with
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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... -
nuuskur replied to the thread I About the existence of Hamel basis for vector spaces.Yes, a statement is either true or false. The best we have in this instance is that it is consistent with ZF that R over Q does not have...
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nuuskur replied to the thread I About the existence of Hamel basis for vector spaces.If AC is false, then there's no guarantee this is one of those vector spaces without a basis. Of course it's clear, a generating subset...
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nuuskur replied to the thread I About the existence of Hamel basis for vector spaces.The argument is if AC is false, then the statement "every vector space contains a minimal generating subset" is also false. Therefore...
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I was in a meeting once, and one guy said, "this is really a no-brainer." My co-worker Gerry said "that's why we're putting you on it."
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Meeting: "And what can you contribute to our discussion?" "Nothing." "So why are you here?" "I like the company of like-minded people."
