Some means a small number which is at least two, and which is usually more than two. However, for things that go in pair, it is perfectly standard to use some to mean one pair. The context usually makes this clear.
For example, if you walk into a shoe shop and say “I want some new boots”, the vendor will assume that you want to buy a new pair. I think “I want a new pair of boots” is a bit more common but using some doesn't sound strange. If you're about to leave home and you just need to put on shoes, saying “I'll be here as soon as I've put some shoes on” is idiomatic; mentioning a pair in this context would be possible but a little overspecific.
If you say “there are some shoes on top of the wardrobe”, it could be one pair, or many pairs, or two or more shoes that don't form pairs. If you say “there is a pair of shoes …”, then there are two shoes, a right shoe and a left shoe from an assorted pair. If you say “there are many shoes …” then there are at least three and probably a few more.