Read deRoulet's paper . Note that though Caliban was in Shapespeare's The Tempest , Browning co-opted him for another caricature. Antimony is a seemingly logical impossibility.
Paradox is a logical contradiction.
Mathematics can evoke wonder. We are forced to examine the basis for our beliefs. We take our basis on faith and use it because it works. We can learn humility because we know there exist questions we cannot answer. Science Through the Eyes of Faith or Hermeneutics of Nature .