A Hamel basis is a set H such that every element of the vector space is a
*unique* *finite* linear combination of elements in H.
This can be proven using Zorn's lemma, which is a direct consequence of the
Axiom of Choice. The idea of the proof is as follows. If you start with an H
that is too
I know this one!
I had a friend who published a magazine called Zorn printed on pale
yellow paper... ;)
Paddy Leahy
Hi Patrick,
Welcome to the list!
When I was a student a friend told me about transfinite induction. While
ordinary induction allows you to generalize from n to n + 1 and thus to a
countable set, transfinite induction enables you to explore the continuum.
He didn't explain how it was done,
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