I had a conversation on a topic here that I am interested in a lot but have not get a response yet to my question about it, so I have decided to address the question to the community on this site for assistance. It concerns matters when a definite article precedes a plural noun modified by 'of' noun phrase, with my impression being that a set of the things specified by a definite article invokes the meaning 'all of them' regarding the things being specified. Why I think perhaps it should be so, I would specify on the following example.
Consider the phrase the mountains of Austria, indicating the mountains that are in Austria not elsewhere, which thus are specified. It seems to me that here the connotation of all mountains (of Austria) is present in the sense of all of them that are in Austria (or at least in the sense of each of them); for otherwise, it would mean that some of them are excluded from the list of the mountains of Austria, seeming illogical.
Does such 'logic' and meaning, even at a level of connotation, are present in the phrase and in this sort of phrases generally?
I do understand that perhaps this question can be tagged a 'duplicate', but I would like, in that case, to read comments about the proposed logic-- why, for example, it could be that it does not matter at all in the phrase concerned.