1.  pureness(n = noun.state) purity - being undiluted or unmixed with extraneous material;
Derived form adjective pure₁, adjective pure₃

2.  pureness(n = noun.state) innocence, purity, sinlessness, whiteness - the state of being unsullied by sin or moral wrong; lacking a knowledge of evil;
Derived form adjective pure₆, adjective pure₇

3.  pureness(n = noun.attribute) honor, honour, purity - a woman's virtue or chastity;
Derived form adjective pure₇

   The state of being pure (in any sense of the adjective). [1913 Webster]