Can you use reflection to find the name of the currently executing method?

Like the title says: Can reflection give you the name of the currently executing method.

I'm inclined to guess not, because of the Heisenberg problem. How do you call a method that will tell you the current method without changing what the current method is? But I'm hoping someone can prove me wrong there.

Update:

• Part 2: Could this be used to look inside code for a property as well?
• Part 3: What would the performance be like?

Final Result
I learned about MethodBase.GetCurrentMethod(). I also learned that not only can I create a stack trace, I can create only the exact frame I need if I want.

To use this inside a property, just take a .Substring(4) to remove the 'set_' or 'get_'.

As of .NET 4.5, you can also use [CallerMemberName].

Example: a property setter (to answer part 2):

protected void SetProperty<T>(T value, [CallerMemberName] string property = null)
{
    this.propertyValues[property] = value;
    OnPropertyChanged(property);
}

public string SomeProperty
{
    set { SetProperty(value); }
}

The compiler will supply matching string literals at call sites, so there is basically no performance overhead.