nuuskur's latest activity
-
nuuskur replied to the thread Undergrad 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... -
nuuskur replied to the thread Undergrad 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... -
nuuskur replied to the thread Undergrad 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...