Notes

One can classify human thinking into four basic types. Imagine a grid of four squares. The left column is the theory column and the right column is the practice column. The top row is the theory row and the bottom row is the practice row. Now number the four squares from one to four, from left to right and from top to bottom. This gives you the four different types of thinking. Type one thinking is theory-to-theory. This type is exemplified by pure mathematics and, in some forms, philosophy. It begins with pure theoretical principles, and derive further principles from them. Type two thinking is theory-to-practice. This type is exemplified by engineering and applied mathematics. It starts with pure theoretical principles, and uses them to derive practical aims. Type three thinking is practice-to-theory. This type is exemplified by empirical science. Empirical science starts with observations of the world, from which hypotheses, and eventually theories, are formed. Type four