意识的数学模型(4)

意识可以由数学模型表示,其本质是同构。

the units or segments, i.e., there exists information mapping f (x1gx2) in the nervous system of the bees.

A sample is the result of Thomas Seeley’s experiments cited by Marian Stamp Dawkins. [4] The experiments showed that the nests of bees is mainly characterized by the following items: 15-80 liter capacity; enter open to the south; the mouse of cave less then 75 square centimeters; several meters high to the ground. Before building the new nest, bees as the collective carry out an optimized selection of the characters and communicate the characters they saw with each others. It showed that without the saved information of the view (the view as the non-existential when they start building should be called expected or speculated one) selection must not be possible.

Another sample is the experiment made by Julie Neiwork and Mark Rilling cited by Marian Stamp Dawkins. [5] The experiments tested if the pigeons can judge where would be appearance of the disappeared point of the particularly made clock in a regular circle, the result showed yes. It proved that pigeons can integrate the information of the point and the information of time i.e., x1gx2, here, the integration of information of the point and the information of time x1gx2must exist in the nervous of pigeons before the mapped object f (x1gx2) ----the point appears in a certain position and in a time for they are capable of judging where the point should appears.

Example 6. Most animals can’t utilize and make the tools but some animals can. Human can do it. Which relation with consciousness does it has?

Answer. Utilizing the tools is the action with consciousness.

x1: information of the tool

x2: information of the object operated by the tool f (x1) : the tool

f (x2) :the object operated by the tool

f (x1gx2) : the result of speculation or intention utilizing the tool upon the object

f1 (x1) * f1 (x2) : the result of operation utilizing the tool upon the object

g: conjunction of the information of the tool and the object

* : action or operation by the tool upon the object

In fact, f (x1gx2) =f1 (x1) * f1 (x2), so utilizing the tools is the action with consciousness.

Making the tools is the action with consciousness. Let

x -1 : information of the material for making the tool x0: information of the tool (i.e., the hands in primary) for making the tool

f1 (x- -1 gx0): the speculation or intention making the tool

f1 (x- -1) * f1 (x 0) : the result of making the tool utilizing the material by the hands

The action from making tool to utilizing the tool can be denoted as

f2 f1 (x0gx1)gx2……x n

(5)

= f2 f1 (x0gx1) * f2 (x2)

Obviously, utilizing the tool made by the utiliser is more in mapping then utilizing the tool only. In essence, making tool and utilizing tool is the same in the model as the expression (2) and (5).

Example 7. Do the system of genome and proteome have consciousness?

Answer. Genome is the entities y1,y2,…yn rather than the information. Although genome is called as information, it is a metaphor, and not the separate memory as the real features of information to restore or represent the entity, the separate memory can be denote as the characters such as AACTTGC…... So there is not a system X to map the entities y1gy2……y n, thus there is not a parallel group for transition in the system, so the system of genome and proteome is not conscious.

4. The Mathematic Model of Consciousness with the Parameters of the Neurons

An experiment approved that consciousness of human satisfying equation (2) .

In 2004, H.R. Heekeren et al made an experiment. They proved that for the information expressing concepts and sentences, combination of the information match responsive combination neurons of brain.

The previous experiments before the experiment of H.R. Heekeren identified the regions in the human ventral temporal cortex that are more activated by faces than by houses, and vise versa. We hereby consider the activated region to faces and houses as the represented regions saved information of the faces and houses. The experiment of H.R. Heekeren was to ask the tested persons to decide if the input images in the showed screen was the face or house, given the input images respectively of the clear face and house and of the face and house with noise (fuzzy voxels), functional magnetic resonance imaging (fMRI) recorded the responsive regions by blood oxygen level dependent (BOLD) when the tested persons saw the input images and answered whether the images was the face or house. The data showed that the responsive intensity to higher level decision making (answer) depend positively as the difference of responsive intensity between the face-responsive region and the house-responsive region to

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