A field initializer cannot reference the nonstatic field, method, or property

This line:

private dynamic defaultReminder = 
                          reminder.TimeSpanText[TimeSpan.FromMinutes(15)];

You cannot use an instance variable to initialize another instance variable. Why? Because the compiler can rearrange these – there is no guarantee that reminder will be initialized before defaultReminder, so the above line might throw a NullReferenceException.

Instead, just use:

private dynamic defaultReminder = TimeSpan.FromMinutes(15);

Alternatively, set up the value in the constructor:

private dynamic defaultReminder;

public Reminders()
{
    defaultReminder = reminder.TimeSpanText[TimeSpan.FromMinutes(15)]; 
}

There are more details about this compiler error on MSDN – Compiler Error CS0236.