I believe that God can be apprehended by the senses though. It
  would be, in the Christian context, considered the Holy Spirit.
  In the Mystical religions, it might be given other names. It's
  somewhat of an simultaneous overwhelming of experience and
  negation of sensory experience, very powerful. This isn't to say
  I'm a believer. I believe a similar experience can be achieved
  when someone who is trained in mathematics experiences an
  "Elegant Formula" or someone trained in Logic experienced a
  Logical Argument that is profound. When you've experienced one
  of them, you've experienced all of them. The core experience is
  the same. The manner of getting there is different. It's a
  sensory/cognitive process. How we frame it in language, who/what
  we give credit to for it, well, that's different of course.