My latest logos after meeting with the Visual communication team. Posted by Russell Hepton of the Vis-com team

Here I have decided to go for a more obvious contextual reference, with connotations of thought and idea. I have also decided to place the "in" of "inspire" within the head as a simple word association.

Again, going back to the doors being open to new possibility, relating the door in the "I" with the idea.
 However, the over all feel of the design is a little to straight and narrow, with no particular reference or association to the word "inspire."