Ahh, the ol' paleo potato debate.
Firstly,
There is no 'Paleo diet'
our ancestors would have eaten whatever they could find in hard times, even if it was toxic.
Tubers were always a very important source of nutrition, we produce amylase in our saliva to begin breaking down starches.
A large portion of the paleo world are (or were) terrified of carbs, but our understanding has improved a bit since the eighties.
The idea that we went from living in the forest eating leaves and animals straight to agriculture leaves out a few million years wandering the plains grubbing for tubers.
Even Rob Wolf has put potatoes back on the menu (with a couple of caveats)
http://robbwolf.com/2011/11/03/meat-potatoes-back-on-the-menu/
http://blog.paleohacks.com/white-potatoes-permitted-paleo-diet/
Several other experts, though, have revised their statements and now say that white potatoes aren’t bad, as long as you don’t have problems with nightshades and/or are not trying to manage your blood sugar or lose weight.
Tubers are paleo but potatoes may cause problems
There are a couple of studies about glycoalcaloids and crohn's
so caution is recommended...
It doesn't matter if it is paleo if it causes you problems
http://onlinelibrary.wiley.com/doi/10.1097/00054725-200209000-00005/full
http://link.springer.com/article/10.1007/s10620-010-1158-9#page-1