I am struggling to find the correct grammar for a fairly simple sentence.
"I don't like potatoes or ice-cream".
This appears to be incorrect because it is a contraction of the two clauses "I don't like potatoes or I don't like ice-cream", which has a different (if any) meaning. You can see why it's wrong when you use a different verb such as:
"I hate potatoes or ice-cream".
To use "I don't like potatoes and ice-cream" would be correct but ambiguous as it appears to imply they have to be served together to elicit dislike.
An Oxford comma would be an elegant method of reducing this ambiguity ("I don't like potatoes, and ice-cream") but I'm sure that's incorrect as well.
I expect there's a very formal sentence construction involving neither/nor but nobody would ever say that.
So what is the correct construction here?