  Up to now searches for Dark Matter (DM) detection have not been successful,
either because our paradigm in how DM signals should look like are wrong or the
detector sensitivity is still too low in spite of the large progress made in
recent years. We discuss both possibilities starting with what we know about DM
from cosmology and why Supersymmetry provides such an interesting paradigm for
cosmology and particle physics in order to appreciate what it means to give up
this paradigm. In addition, we compare the predicted cross sections for direct
and indirect DM detection with observations with emphasis on the latest
developments. Especially, we discuss the possible origins of the two hotly
debated candidates for a DM annihilation signal, namely the positron excess and
the Fermi GeV excess, which are unfortunately incompatible with each other and
more mundane astrophysical explanations exist.
