Learn English – When should “Dictator” be capitalized

If it is a proper noun, it must be capitalized.

If it is an adjective derived from a proper noun, it should retain its capitalization, according to this Wikipedia entry:

In English, adjectives derived from proper nouns (except the names of characters in fictional works) usually retain their capitalization
– e.g. a Christian church, Canadian whisky, a Shakespearean sonnet, but not a quixotic mission, malapropism, holmesian nor pecksniffian.

Where the original capital is no longer at the beginning of the word, usage varies: anti-Christian, but Presocratic or Pre-Socratic or presocratic (not preSocratic).

The "usually" might explain why you sometimes see "english" without any capitalization. The only case of "english" as a common noun would be in the context of pool, billiards or bowling games, as described by Wiktionary:

english (uncountable)

1. (US) Spinning or rotary motion given to a ball around the vertical axis, as in billiards or bowling.

You can't hit it directly, but maybe if you give it some english.

My reasoning is that there is really only one network named Internet - therefore it's the Internet, while "web" is a more generic term, meaning any network (but probably referring to YouTube anyway ;).