If you hope that something is true, or if you hope for something, you want it to be true or to happen, and you usually believe that it is possible or likely.

If you say that you cannot hope for something, or if you talk about the only thing that you can hope to get, you mean that you are in a bad situation, and there is very little chance of improving it.

Hope is a feeling of desire and expectation that things will go well in the future.

If someone wants something to happen, and considers it likely or possible, you can refer to their hopes of that thing, or to their hope that it will happen.

If you think that the help or success of a particular person or thing will cause you to be successful or to get what you want, you can refer to them as your hope .

If you are in a difficult situation and do something and hope for the best, you hope that everything will happen in the way you want, although you know that it may not.

If you tell someone not to get their hopes up, or not to build their hopes up, you are warning them that they should not become too confident of progress or success.

If you say that someone has not got a hope in hell of doing something, you are emphasizing that they will not be able to do it.

If you have high hopes or great hopes that something will happen, you are confident that it will happen.

If you hope against hope that something will happen, you hope that it will happen, although it seems impossible.

You use 'I hope' in expressions such as 'I hope you don't mind' and 'I hope I'm not disturbing you', when you are being polite and want to make sure that you have not offended someone or disturbed them.

You say 'I hope' when you want to warn someone not to do something foolish or dangerous.

You add 'I hope' to what you are saying to make it sound more polite and less rude or less definite.

If you do one thing in the hope of another thing happening, you do it because you think it might cause or help the other thing to happen, which is what you want.

If you live in hope that something will happen, you continue to hope that it will happen, although it seems unlikely, and you realize that you are being foolish.

If you say 'Some hope', or 'Not a hope', you think there is no possibility that something will happen, although you may want it to happen.