Desirability -- i.e., the theory of coherent sets of desirable gambles -- is
often used to introduce the theory of coherent lower previsions and justify its
defining properties. It can be argued that sets of desirable gambles provide a
conceptually simpler basic framework for modelling uncertainty than the one
provided by lower previsions and credal sets. I will first illustrate this claim
of conceptual simplicity. Then I will use exchangeability to show desirability
can also be used for more than only creating a basic framework. After that, I
will start speculating on whether desirability can also provide a fresh and
enlightening look on both old and new problems in uncertainty modelling. To
finish the talk and start the discussion, I will briefly touch on the following
question: Can desirability be squared with non-convex credal sets?