I think attitudes to inheritance are clearly correlated to one's own financial position - there was a time when I did consider inheritance to be unfair, but frankly when you start to build an inheritance for your own family your attitude changes rapidly. There comes a point in the development of a successful business when you are doing something more than just creating an income for yourself, you are actually creating a legacy for future generations of your own family.
The key though is to teach your children (assuming you are in this fortuitous position) that with wealth of any sort or of any size, current or inherited, that there is a strong obligation and responsibility that goes with it. The fact that you place your children into an advantaged position means that you pass an obligation on to them to use their resources wisely, and in particular, to be willing to help others.
I have always told my children that you cannot judge a person by the size of their personal balance sheet, a person's qualities such as honesty, integrity, compassion for others etc are the key determiners in judging others. The privileges that wealth brings in terms of education and opportunity place an even higher expectation of personal standards and behaviour.