I wish I had been at this talk by Paulson:
http://events.inf.ed.ac.uk/Milner2012/slides/Paulson/LCF+-without-transitions.pdf
I remember coming across Skolem's paradox some time ago, and not really understanding it. I think I just had a quick look at the Wiki page and shrugged, getting on with something else (probably work).
Skolem's paradox:
http://en.wikipedia.org/wiki/Skolem%27s_paradox
The single slide on Skolem's "Paradox" in Paulson's talk above explains it in a nutshell. Nice.
UPDATE: The videos from the Milner Symposium are online:
http://events.inf.ed.ac.uk/Milner2012/videos.html