Science Declares Our Universe IS Intelligently Designed
The Hyperfinite and the GID-model
Many claim that the most significant aspect of human thought is finite choice. If you check any book that contains a "formal" proof in logic, you will discovery that in order to write a "proof" one needs to choice finitely many strings of symbols from a set of formal expressions that is not finite. (I use the expression "not finite" in order to avoid the technical definitions for this notion.) It is remarkable that the human mind can actually find a suitable selection. Choosing a finite collection of items is certainly a rather simply human task. It is the process of choosing from a finite set of possibilities that governs an individual's everyday experiences. The intuitive notion of what the term "finite" signifies, such as "counting" and other properties, can be mathematically modeled. The actual finite processes we use are rather simple. A higher intelligence can duplicate the same "finite" processes just as easily and the "finite" processes the higher intelligence uses are also characterized in the same manner as rather simple from its viewpoint. But a higher intelligence can apply these "simple finite" processes not just to those processes we consider as finite but also to processes that we would consider as not finite. This is why this special higher intelligence notion is called the "hyperfinite." Relative to choice this type of higher intelligence choice is termed "hyperfinite choice."
It is also a remarkable fact that if the finitely chosen items have an encoding that will allow for them to be ordered, that the human mind can usually accomplish such a task. If you have any finite choice set of descriptions such as Q = {d(100),d(0), d(32),d(3)} that are numerically coded, then for Q there is a mathematical operator that puts them into an order corresponding to the order 0 < 3 < 32 < 100. Thus, human experience is once again mathematically modeled. Although placing a finite collection of entities in order may take some time on our part, it still is a rather simply mental process to do if you know how the numerical codes are obtained. A higher intelligence can also duplicate this same process not just for sets we consider as finite but also for certain sets of entities that one would consider as not finite. This higher intelligence process is often called "ordered hyperfinite choice."