) complied the "Tao Te Ching" (the Book of Tao,
), the very first
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sentence in which stated : "The Tao that can be told is not the eternal Tao" ( ). Since then the "Tao" has been interpreted as a statement, a theory, an extra-sensual experience, ...; while eternal often adopts the meaning of uniqueness. It seems appropriate now to add a modern day interpretation in term of consciousness. Since consciousness is a very subjective feeling privileged only to its owner, it can never be described fully to an outsider. Each person taking a look at the picture in Figure 01 would evoke an unique response: it may be perceived as a beautiful scenery, or invokes a feeling of serenity, or just a boring photo, or ... depending on the wiring in the brain. On the finer level,
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Figure 01 Tao [view large image] |
there would also be disagreement on the hue of the trees for example, whether they are green, dark green, dark, or anything in between; actually we will never know the "green" color experienced by someone else. We can define "green" only by referring to a third object. |
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Study of the human brain owes the fortuitous development of Magnetic Resonance Imaging (MRI) in 1973. The non-invasive scanning technology called fMRI (f for functional) allows the association of certain brain region (with spatial resolution the size of a pea containing about one million nerve |
Figure 02 Active Brain Region [view large image] |
Figure 03 Neural Correlates of Consciousness [view large image] |
cells) to specific mental task as shown in Figure 02 for seeing. Such image is too coarse for the concept of Neural Correlates of Consciousness (NCC), which relates consciousness to the level of individual neurons (Figure 03). |
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The percept is always presented to its owner as a whole. There are evidences to show that this whole can be differentiated into parts with the most elementary one coming from just one neuron. It is called quale by philosophers of mind. The quale of the color red is the most basic element in such disparate percepts as seeing a red sunset, the red flag of China, arterial blood, a ruby gemstone, etc. The common denominator of all these subjective states is "redness". Figure 04a depicts two visual examples : one sensory neuron in the cortex receives an electrical pulse from the Ruffini's ending in the skin and produces a sensation of heat; while another sensory neuron in the cortex generates a feeling of pressure triggered by a signal from the Pacinian Corpuscle cell in another part of the skin. |
Figure 04a Differentiation [view large image] |
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In addition to the motor, sensory, and pyramidal neurons shown in Figure 04a, there are two more types known as inter and Von Economo neuron respectively (Figure 04b). An inter neuron (also called relay neuron, association neuron, connector neuron or local circuit neuron) is a neuron that forms a connection between other neurons. It can be in the spinal cord, the cortex, or cerebellum. The Von Economo neuron (VEN) was first identified in 1926 by Von Economo. It was re-discovered 80 years later to be closely associated with consciousness. These neurons make their rare appearance in two small regions : the anterior cingulate cortex (ACC) and the fronto-insular (FI) cortex (see Figure 04b) - the area for smells, flavours and other mental tasks. |
Figure 04b Types of Neurons [view large image] |
Circumstantial evidences include the same occurrence in other big-brained, social animals; its association with the sense of self, and environmental monitoring to adjust behaviour; and the prominent size - up to 200% larger than typical human neurons. |
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Conscious states share a second property of seamless integration. As mentioned in the previous section the percept can be differentiated into parts; however these parts can never be separated. No matter how hard you try, you cannot see the world in black and white; nor can you see only part of the horse as shown falsely in a painting by Magritte (Figure 05). It is postulated that underlying this unity of consciousness is a multitude of causal interactions among the relevant parts of the neurons. If areas of the brain become fragmented, disconnected, balkanized, as occurs under anesthesia , consciousness fades. Since there are more than 20 billion neurons in the cortex with their numerous interacting paths and changing environment, each percept is virtually unique. A very particular state is selected from countless possibilities - the essence of information. |
Figure 05 Integration |
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According to one definition of "information", the meaning of the messages is completely ignored but takes into account only the variations that is possible in the message. Figure 06 shows an example which should be very easy to understand. The image on the left portrays Bob as a dummy who can only utter Ba Ba Ba Ba to Alice. There is no variation in the message resulting in no "information content". On the other hand, the picture on the right shows Bob to possess a wonderful command of vocabulary. Alice is surprise to hear the actual message out of |
Figure 06 Information Content [view large image] |
so many possibilities. Therefore, this definition uses the "average amount of surprise" as its criterion. It doesn't take into account the "meaning" of the message. |
-I = K - k (for binary arrangement) ---------- (3)
10-16 erg/K, which is very small comparing to the entropy generated in raising 1 gram of water by 1oC at room temperature (27oC), i.e.,
S = 1.4x10-8 erg/K.![]() |
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The effective information defined in the original paper of "Integrated Information Theory (IIT)" is essentially the same as those From Eqs. (1) - (3). They have introduced some terminologies that can be identified to those in the previous section such as : "a priori repertoire" = K, "a posteriori repertoire" = k. The effective information Ie is defined as : |
Figure 07 Effective Information [view large image] |
Figure 08 Examples |
Ie = -I = K - k ---------- (4) to get rid of the troublesome negative sign. It is also referred to as entropy by neglecting a proportional constant. |
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When isolated subsystems combine together to form an integrated whole through causal connections, it generates lot more information and thus richer experience - the essence of integrated information. Roughly speaking, while the "a priori repertorie" K in effective information is the sum of individual elements, it is the product for the case of integrated information. Mathematically, the integrated information is defined similar to Eq.(4) : = KI - kI ---------- (5)where KI = k1 k2 k3 ... , the ki is the "a posteriori repertoire" for each of the isolated subsystem, and kI is the "a posteriori repertoire" of the integrated whole.
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Figure 09 Integrated Information [view large image] |
Diagram A in Figure 09 depicts two independent subsystems in partitions M1 and M2. The integrated information is 0 because there is no connection between the two. |
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The qualia space (or Q-space) is a multi-dimensional space with 2K dimensions for a system of K connected elements. Each point in the space represents a particular percept - the mental perception only experienced by its owner. It is not possible to portray such space in general intelligently. Figure 10 shows a 2-dimensional qualia space having only one element with 2 states - the 0 and 1, each coordinate is assigned numbers from 0 to 1 representing the probabilities in that state. For the case of random firing, initially each state has the probability of 1/2 (rod dot). A perturbation at time t0 transfers the element to state 1 (firing, the blue arrow) at time t1 by some kind of mechanism. In general the trajectories trail out a polytope (or crystal) in the qualia space, in which the history of our experiences is recorded. In reality, we could only remember vaguely the events in the past. |
Figure 10 Qualia Space |
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. Figure 12 shows the possible percepts of light for different animals. It is just a reasonable re-construction from their eye structures. Nobody really knows what they "see". If the idea of functionalism (substrate-independent) is applied to consciousness, a conscious robot can conceivably be constructed (wired) to mimic nature. |
Figure 11 Non-human Consciousness |
Figure 12 Animal Percepts [view large image] |
In July 2012, the first annual Francis Crick Memorial Conference declared that "non-human animals have the neuroanatomical, neurochemical, and neurophysiological |
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circuits confers quick reaction to changing environment. . |
Figure 13 Animal Consciousness |
theory should let doctors build a consciousness meter to measure the extent to which severely brain-injured patients are in a vegetative state, and which ones are partially conscious but unable to signal their pain and discomfort. |