'should have'; and I even see the names of products and companies misspelled from time to time.

Is the conjunction needed after the semicolon? I'm inclined to say no, but there might be some obscure rule of which I am unaware.

This reminded me of something I read in the paper years back, turns out back in 1996 some scientists were awarded the Nobel Prize for discovering a liquid that actually flows uphill, some sort of special property about temperatures approaching absolute zero that cause liquid to move in a coordinated manner and lack all inner friction. That's the extent of the stuff I can understand, check the article out for yourselves.