Some or Any

SOME OR ANY

We've got some amazing chocolate cake, and some carrot cake.
Have you got any chocolate cake?
I haven't had any carrot cake for ages.

But we also use any in positive sentences.

Any cake will do. Surprise me.
She can tell you everything about ... well, about anything!

We use some for talking about a limited number or amount; and we use any for an unlimited number or amount. For example, imagine you are talking about different kinds of cake. All these sentences are possible:

A I like any kind of cake. (= all kinds of cake, unlimited)
B I don't like any kind of cake. (= 0 kinds of cake, unlimited)
C I like some kinds of cake. (= a limited number of kinds of cake)
D I don't like some kinds of cake. (= a limited number of kinds of cake)

Would you like some more coffee?
Would you like any more to eat?

Here the difference is very small. The speaker is thinking of a limited amount in the first question, and an unlimited amount in the second question. In both questions we could use some or any.

Sometimes we use some when we expect the answer to be “yes”. We use any when we don’t know what the answer will be; we are asking whether something exists.

Can I have some sugar? (I know there’s some sugar)
Is there any cake left? (I don’t know whether there’s any cake)
Are you waiting for somebody? (I think you are)
Is anybody coming to meet you? (I don’t know)