to rise/to rise up/to arise

[krisfromgermany]

They all mean the same, don't they?
For example in a sentence like "The people should rise/rise up/arise and get rid of their corrupt leaders."

 

[Tarheel]

Your example sentence illustrates well that that they do not mean the same thing. The phrase "rise up" works best there, and you should not, I think, use the others at all.

 

[jutfrank]

You could say they have a common basic meaning but quite different uses. Precise meaning comes from how vocabulary is used in sentences.