A tradictional way to address the contradictions is either by
compromising or by trial and error. Although
they reduce the intensity of the problem, they don't really solve the
problem. For example "If the edge of the razor blade is very sharp,
the blade will cut the skin. If not very sharp, it cannot do a closer
shave". A traditional compromise is to make the blade medium sharp, so
that it will shave the beards (although not very well) but not cut
the skin (although sometimes may).
A TRIZ way of solving contradictions is through applying Inventive
Principles. A physical contradiction is normally managed by separation
in Time, Separation in Space, System Transformation and Phase trasition.
For example, If I have to attend both the meeting in
office and birthday party at hotel, I can schedule my meeting first and
party afterwards (separation in time).
A Technical contradiction
is addressed by applying one or more of the 40 Inventive principles
as found appropriate. All principles are not appropriate for each contradiction.
Generally 1 to 5 principles are found appropriate for solving any specific
The contradiction matrix shows us which principles are
appropriate for solving which contradiction.