I suppose I should chime in and clear up a few things. Cheaton, it appears that you have misread my article and jumped to some false conclusions. My article states that the idea that aluminum pots cause alzheimer's disease has been debunked. I did not refute that there was a connection beteween alzheimer's and aluminum. Those are two different statements that you seem to have confused for one another.
The bottom line is that your body absorbs very low amounts of aluminum from foods prepared in aluminum pots compared to other sources of aluminum, such as antacid tablets or antiperspirant. Even if there is a link between aluminum and alzheimers, aluminum pots would play only a small contributing role -- they could not be considered to CAUSE alzheimers. That we know to be true because the majority of our population that has used aluminum cookware has NOT developed alzheimers.
And to correct your misunderstanding of the scientific process, progress in science is made by evaluating the weights of evidence (objective knowledge), which is most strongly influenced by the process of DISPROVING (falsifying) hypotheses and postulates, not by PROVING them. Proof is a fairly empty concept in science. If you want to learn more, look up Popperian philosophy of falsification. It is standard reading for students in the science disciplines, particularly the biological sciences.