Actually, you are right, that will cause a problem.
If you follow the link that Abhinav S gave you, you'll see another link to:
http://msdn.microsoft.com/en-us/library/12a7a7h3(v=vs.71).aspx[
^]
Which gives the Common Language Specification -- basically the set of rules you must follow in order for your class to be guaranteed to interoperate with other .NET languages.
In particular it states:
"Characters and casing: ...For two identifiers to be considered distinct, they must differ by more than just their case."
and:
"Uniqueness: All names within a CLS-compliant scope must be distinct..."
So, basically the class you propose would not be CLS-compliant and therefore would not be interoperable with other .NET languages. The documentation does not guarantee what will happen if you try to do that. (Hopefully you'd end up with an intelligible error message somewhere along the way.)