Choice sequences are the basic, central concept of intuitionistic Mathematics. This thesis concentrates on the special case called "lawless sequences" which L.E.J. Brouwer introduced to Intuitionism to formalise the notion of a set. We give a short summary of the literature on lawless sequences, and afterwards we discuss choice sequences irrespective of their intended area of application in intuitionistic Mathematics. One chapter discusses new variants of choice sequences. In another chapter one of these variants is then applied to natural language semantics, a subarea of linguistics. This shows the applicability of choice sequences beyond Mathematics.