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no, none and not a/any

no: emphatic​

No can be used instead of not a or not any when we want to emphasise a negative idea.

  • Would you believe it? There’s no mirror in the bathroom! (More emphatic than … There isn’t a mirror …)
  • Sorry I can’t stop. I’ve got no time. (More emphatic than … I haven’t got any time.)
  • There were no messages for you this morning, I’m afraid. (More emphatic than There weren’t any messages …)

none of​

Before a determiner (e.g. the, my, this) or a pronoun, we use none of.

  • She’s done none of the work. (not … no of the work.)
  • We understood none of his arguments.
  • I’ve been to none of those places.
  • None of us speaks Greek.

When we use none of with a plural noun or pronoun, the verb can be singular (a little more formal) or plural (a little more informal).

  • None of my friends is interested. (more formal)
  • None of my friends are interested. (more informal)

We can use none alone if the meaning is clear.

  • ‘How many of the books have you read?’ ‘None.’

not a/any​

We prefer not a/any in objects and complements when the sense is not emphatic. Compare:

  • He’s no fool. (= He’s not a fool at all. – emphatic negative)
  • A whale is not a fish. (not A whale is no fish – the sense is not emphatic.)

Subjects​

Not any cannot normally be used in subjects. No and none of are used instead.

  • No brand of cigarette is completely harmless. (not Not any brand …)
  • No tourists ever came to our village. (not Not any tourists …)
  • None of my friends lives near me. (not Not any of my friends …)

Not used to talk about two​

We use neither, not no or none, to talk about two people or things (see here).

  • Neither of my parents could be there. (not None of my parents …)

nobody, etc​

Nobody, nothing, no one and nowhere are used in similar ways to no.

  • I saw nobody. (More emphatic than I didn’t see anybody.)
  • Nobody spoke. (not Not anybody spoke.)
note

For no and not, (see here).

For more about any, (see here).

For none and no one, (see here).

For no as a modifying adverb (e.g. no better), (see here).