I just did your "logic axioms encyclopedia" search, it supports what you say about google giving preference to wikipedia. However, if you compare wikipedia's page to britannica's i think it undermines your argument against wikipedia's inferiority. Wikipedia not only has more information, but it also lists all of the contributors and has a complete list of citations. Britannica's banner ad plastered page featured only 3 paragraphs, no citations for deeper reading and no list of contributors to help you evaluate the content. I know this is just a sample size of one, but I think it shows that your opinion is extreme. As I said before, it doesn't matter where you get your info, you have to practice critical thinking and demand sources. I totally see where you are coming from, but i am not convinced that it is as bad as you are making it out to be.
Imo, its the lack of education on how to evaluate information (this includes the ability to determine the "authority" of its sources) that is an intellectual travesty and a giant threat.