It's important to know that Minimalism is a thought process instead of an end look. If you design with the goal is make it more "minimalist," chances are you're doing it wrong. The thought process involves creating elements that are absolutely necessary without adding anymore value-less clutter.
One of my favorite quotes:
“Perfection is achieved, not when
there is nothing more to add, but when
there is nothing left to take away.” -
Antoine de Saint-Exupéry
As with all design styles, Minimalism isn't always the best solution. As designers, it's up to us to decide to use the best style for the purpose of specific designs.
Often, "less" isn't "more."
From an essay titled Ten Things I Have Learned by Milton Glaser, he writes:
LESS IS NOT NECESSARILY MORE. Being a
child of modernism I have heard this
mantra all my life. Less is more. One
morning upon awakening I realised that
it was total nonsense, it is an absurd
proposition and also fairly
meaningless. But it sounds great
because it contains within it a
paradox that is resistant to
understanding. But it simply does not
obtain when you think about the visual
of the history of the world. If you
look at a Persian rug, you cannot say
that less is more because you realise
that every part of that rug, every
change of colour, every shift in form
is absolutely essential for its
aesthetic success. You cannot prove to
me that a solid blue rug is in any way
superior. That also goes for the work
of Gaudi, Persian miniatures, art
nouveau and everything else. However,
I have an alternative to the
proposition that I believe is more
appropriate. ‘Just enough is more.’