  If ${\cal D}$ is a definable category then it may contain no nonzero finitely
presented modules but, by a result of Makkai, there is a
$\varinjlim$-generating set of strictly ${\cal D}$-atomic modules. These
modules share some key properties of finitely presented modules.
  We consider these modules in general and then in the case that ${\cal D}$ is
the category of modules of some fixed irrational slope over a tubular algebra.

Representation Theory;Logic;Rings and Algebras