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"The UK is a state
Great Britain is an island
Britain is a nation
England, Scotland, Wales, and Northern Ireland are countries"
Maybe you could help matter by calling scotland 'Northern Britian', Wales 'Western Britian' and England could be subdivided with northern england as Central Britian, Cornwall as South Western Britian, and London plus the south east as South Eastern Britian?
(Just like Northern Ireland, everybody know it is part of the island of Ireland; even those who aren't clear that there are two states on this island - like it would be confusing if we called Northern Ireland Ulster...)
Also The Isle of Man, Island of Ireland, Island of Britian, and all the smaller islands off Ireland and Scotland, Angelsey and and the Isle of Wight etc...
Are collectively described as the British Isles (though certain Irish Nationalists and possibly wikipedians prefer the term 'Western European Archipelago')
Meanwhile Guernsey and Jersey are part of the so called 'Channel Isles' because they are across the Channel - and should geographically belong to France...
But i forget whether that are part of the UK or just Crown dependencies.
Like the Isle of Man has it's own democracy, but has agreed to let the UK handle external affairs and defence. (And it has pegged it's currency to the Pound sterling on a one-to-one basis...) I suspect they could declare as a country and apply for UN memership if they wished.