One of the aims of Zen Buddhist meditation is to achieve a state of nondual awareness. This is a means of clearing and freeing the mind. Nonduality is the notion that all things are one. For example, some people who believe in a God believe that everything is God, that all the things we perceive in the world (rocks, trees, birds, flowers, chairs, people, etc.) are not all distinct objects, but really just appearances and the only real thing that exists is God. Zen Buddhism doesn't believe in a God, but it does hold this idea of nonduality: that everything is really united, one, art of the same Whole or of the same nature. To make another analogy: think of the movie The Matrix. When you're in the Matrix, you think you're real, and you think that everything you see and experience is real. But it is really just computer bytes, bits of data combining to form the virtual reality, to give the impression that everything is real. Zen Buddhist meditation teaches one to see everything as one, to see that it is all the Matrix, not just the appearances the Matrix creates.
The idea in Zen, and in ZMM, is to experience reality as a seamless whole, to experience things immediately, rather than through the filters of the mind. It is an attempt to experience and act spontaneously, rather than through deliberation. Thought is valuable, but one also needs to set thinking aside to gain a perspective on the whole of things, to lose oneself in the grand scheme of it all in order to find oneself again.