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[C++] Direct base is inaccessible

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I've been experimenting with inheritance and stumbled upon the following issue. (Compiler used: Visual C++ 2008).
struct A {};
struct B : virtual public A {};
struct C : public A, public B {};
The compiler yields the following error: error C2584: 'C' : direct base 'A' is inaccessible; already a base of 'B'. I realize that access is ambiguous, and hence I need to qualify the symbols, but why is base A inaccessible? And now for something even weirder:
struct C : public B, public A {};
If I change the order of inheritance, it actually compiles. Only a warning is issued, which is perfectly clear. Is this a Visual C++ specific problem? Does order of inheritance imply semantic differences? Last but not least, I realize this class hierarchy is pointless. I'm merely curious, that's all. :)

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