Definite vs Indefinite
βtheβ = specific; βa/anβ = non-specific, first mention.
First vs subsequent mention
First: βa/anβ. Later: βtheβ.
Countable vs uncountable
Countable singular needs article; uncountable can be zero article.
Geographic names
Rivers, seas, plural countries β βtheβ. Single mountains, lakes β zero.
Proper nouns
Most proper nouns β zero article. Exceptions: the UK, the USA.
General statements
Plural/uncountable β zero article: βDogs are loyal.β