First of all, in the 21st century world, it's important to note that the vast majority of the world is made up from a collection of nation-states. Sometimes called Sovereign States, Independent Nations states or simply 'country' for short.
Scotland is not one of these.
With regards to the global community, Scotland is currently a region of a nation state, or a member of a member, not really any different from a Canadian province or US state, although Scotland has far less independent governing power than either of those.[A]
Just let that sink in. Scotland a supposed 'country' has LESS powers than a Canadian Province.
If, as it is often suggested that Scotland should seek to become more inclusive in the world rather than 'separate' as the opponents of independence often like to suggest, then how on earth can Scotland remaining a region of the UK with such a tiny democratic influence possibly serve to further that goal?
Currently, Scotland is a member of a member (UK) of the global community. With independence, Scotland will become a member, full stop.
I'm quite certain that this model of togetherness only applies to Scotland.
I saw this quote from Billy Connolly on the subject "Do they need another layer of government, and how it’s going to affect the average person, the average Joe?"  I thought it would be quite obvious to even the least observant of us, that Scottish independence will actually remove an entire layer of government! Without Westminster and the House of Lords, Scotland will have the ability (like any normal nation) to actually participate in the global community of it's own accord, like all other nation-states enjoy.
So tell me, in what way can that course of action possibly hinder the goal of becoming more included in the world community?
If you truly believe that Scotland should be closer to others in the world, and if your ambition for Scotland lies beyond the status of being a region, then you absolutely must vote Yes.