There are many ways to divide types of thinking. Here's one of them.
Reductionism or Logic To Chaos
minds use logic to derive more logic and use intuition only as far as its an optimization for finding more logical ways to understand things. This is more symbol based thinking than shapes. The logic starts simple but expands without limit to more and more complex logic in chaotic ways.
Governments and corporations are what happens when reductionist thinking is taken too far.http://en.wikipedia.org/wiki/Reductionism
Reductionism can mean either (a) an approach to understanding the nature of complex things by reducing them to the interactions of their parts, or to simpler or more fundamental things or (b) a philosophical position that a complex system is nothing but the sum of its parts, and that an account of it can be reduced to accounts of individual constituents.
Holism or Chaos To Logic
minds explore far into intuition of how things fit together and are happy to act based on intuition for long times before their mental models of the world converge to logical statements. They can be very logical, like thinking of things as high dimensional shapes that fit together in various ways, while not being able to translate that logic into symbols. These minds start with a maximum of chaos and many combinations and patterns of groups of thoughts become less chaotic and more logical.
Religious people and superstition are what happens when holistic thinking is taken too far.http://en.wikipedia.org/wiki/Holism
Holism (from ὂλος holos, a Greek word meaning all, whole, entire, total) , is the idea that natural systems (physical, biological, chemical, social, economic, mental, linguistic, etc.) and their properties, should be viewed as wholes, not as collections of parts. This often includes the view that systems somehow function as wholes and that their functioning cannot be fully understood solely in terms of their component parts.
The third kind of mind is the only one capable of higher intelligence. It oscillates between reductionism and holism in many patterns. Merge science and religion/philosophy or you will never understand much more than you do now.
I do not propose that we combine church and state. I propose that there should be no church and no state since those are the extremes of insanity.
Over the years my mind has been to both extremes, reductionism in how I was autistic as a child and now only some of it remains (and I wouldn't choose to give up that logical ability), and holistic in how in college I practiced a very small amount of mind over matter (like in this http://www.youtube.com/watch?v=pKJGb4RNRB4
video) and other metaphysical abilities (but it gets very confusing the deeper you get into it and leads to thinking things which are hard to confirm as true or false) and how I think in terms of memes flowing through society, so I can speak from both sides of the insanity. I'm not saying there is nothing more than what we see around us or that what is said in churches is wrong, because there is some very misunderstood truth somewhere in there, and I'm not saying logic is wrong, but they're both the extremes of insanity without the other. I don't take most thousand-page laws seriously because most politicians, police, and everyone else don't read most of them. I don't go to church because the whole world is where metaphysics happens. Somewhere between the 2 is an oversimplification. The conscious choice to move between them at certain times and in certain patterns, and to oscillate between them intuitively in many ways, is where real intelligence happens.
Consciously doing something is reductionism. Intuitively doing something is holism. Only the third kind of mind, which consciously and intuitively chooses patterns between reductionism and holism, is capable of understanding the following: Nonexistence is isomorphic to the set of all self-consistent possibilities.
That one sentence explains in total but not the details of: all that ever was, is, and will be, all multiverse branches, convergences from the past, metaphysics, and other patterns of reality, the universe, nonexistence, unity, zero, and how to use it with machines. It can be divided into 2 operators: zero, and recursive and fractal root_of_unity http://en.wikipedia.org/wiki/Root_of_unity
Zero is most similar to the idea of love, meaning multiple parts that flow as 1 system, applying equally to sex, metaphysical unity, and brainwaves of artificial intelligence. Zero means things which cancel-out together. Existence is more similar to root_of_unity, powers of -1 (like we see in quantum physics equations), the abstract idea of war (which means to be separated in the set of all possibilities, instead of flowing more as 1 system), and being unbalanced. However you divide it, the universe is entirely described by: Nonexistence is isomorphic to the set of all self-consistent possibilities.
I very much want to explain it in more logical terms that scientists could understand, or in religious terms that others could understand, but I think an artificial intelligence system to network our minds together through the psychology of realtime interactive audio and statistical software would be the only form I can communicate and demonstrate how to use it in a very small way. I see these words as smalltalk even about deep philosophy or advanced science. We have no significant language in common except for math and music, and in both of those I see very interesting things.