In addition to Andrei's answer, I would just like to point out that you're only classifying the actions you describe as illogical in the context of an important question. There's nothing illogical about rubbing your nose if it itches. What these "answers" are pointing to is that everyday life and experience ARE the state of satori for those that have experienced the non-duality of what appear to be two different things. In Zen Buddhism (and by extension in most Mahayana traditions), they are like the two poles of a magnet: you can't have a magnet with just one pole, so the poles are actually non-dual.
The problem is that this is very difficult to put in words, since language is all about classification, so the experience of Satori is to be experienced, not described. This is not as esotheric as it may sound: it's similarly almost impossible to describe the exact taste of chocolate to someone who's never tasted it, for example.
Thinking about "states of mind" to discuss this can be helpful, but at the same time it's a hindrance since it creates the conception that there are stages one must go through. According to Zen teachings, satori can take 30 years, or 3 seconds. This is why Zen is called the "Sudden Teaching".
We do have some scientific studies on the subject, most notably Zen and the brain and the more recent work of neuroscientist Sam Harris: Waking Up.