  In the I=0 sector there are more scalar mesons than can fit in one $q{\bar
q}$ nonet. Consequently, many have claimed that there is in fact more than one
multiplet, perhaps both $q{\bar q}$ and $qq{\bar {qq}}$. Such proposals require
the existence of at least two strange isodoublets (and their antiparticles).
The current PDG Tables list just one state, the $K^*_0(1430)$, while fits to
data with Breit-Wigner forms and variable backgrounds can accommodate a
$\kappa(900)$ too. Whether a state exists in the spectrum of hadrons is not a
matter of ability to fit data along the real energy axis, but is completely
specified by the number of poles in the complex energy plane. Here we perform a
model-independent analytic continuation of $\pi K$ scattering results between
825 MeV and 2 GeV to determine the number and position of resonance poles. We
find that there {\bf is} a $K^*_0(1430)$, but {\bf no} $\kappa(900)$. The LASS
data cannot rule out the possibility of a very low mass $\kappa$ well below 825
MeV.
