Not necessarily. The "whole human mind" and the "soul" are very metaphysical concepts so it's tough to say.
In my estimation, the "whole human mind" or "soul" of a person is not annihilated when someone dies. Our minds are an amorphous network constantly in intercourse with and dependent upon eachother.
When a loved one dies, all of the love they gave and words they said exist in some form or another within us, within our hearts and minds which we then pass on to others in turn.
Picture a field full of one type of flowers. If that one type of flowers grows old but never dies, soon enough there is no room for newer or better flowers to grow and evolve.
So as old minds pass away, new minds are born which draw upon the old minds' knowledge but also build upon that knowledge with newer and better ideas.
Alan Watts - Acceptance of Death