Killing the private (and protected)

Recently on one forum I've found topic which released from memory my C++ days. That was topic about using "private" modifier on methods. The question there was about cases where to use it and why. Everybody knows when you are programming on C++ (as the most glaring example) one of "good practices" is "less client can do - better". Of course that's not in sense of functionality provided to client, but in mind of something which is not explicitly provided. In C++, I believe, the main reason for that is fragility of runtime, which can be easily killed if someone accidentally will do something wrong, which can also cause physical damage to person who is responsible for doing that (worth mentioning, in Java situation is slightly different, it's hard (but still possible, of course) to kill the application by "accidental coding"). And a consequence of such “good practice” is the basic rule – “make private as much as you can”.