Sunday, 23 March 2008

Tractable and intractable computations human individuals are faced with.

In an uncanny manifestation, as I would call it for the lack of a better word available in my mind right now, sources unraveled before me, without a consciously prepared plan, only to lead me, almost effortlessly, to a sought after solution of a nagging problem. One seemingly intractable problem, in personal terms, on the grounds of the unyielding amount of operations in the process of arriving to a satisfactory solution.

Similar with what I mentioned in that post, the anticipation built-in in the firing sequences of neuron groups, with the additional element of intractable problems. Does that go beyond a simple immediate future anticipation? To processes connected to situations where ever ready, constantly on standby, lingering bifurcations sweep away the thoughts toward new, concluding attractors or falling under the influence of powerful trajectories of all-surpassing, universal attractors? As for example the attractor-notion of knowledge already there, awaiting your mind's arrival? Severely cutting down the number, by-passing unyielding operations? Arriving to a solution sooner?

Computational problems can be "efficiently solvable" or "tractable" or "intractable" as they would require a huge amount of operations, at least n^1000000 (n to the power of 1 million), as it is mentioned here,

"P is often taken to be the class of computational problems which are "efficiently solvable" or "tractable", although there are potentially larger classes that are also considered tractable such as RP and BPP. Also, there exist problems in P which are intractable in practical terms; for example, some require at least n^1000000 (n to the power of 1 million) operations."

These are the kind of problems human individuals face in life situations as it is mentioned in "Fractal Neurodynamics and Quantum Chaos: Resolving the Mind-Brain Paradox Through Novel Biophysics", in Chapter 6.1, The Computational Intractability of Survival in the Open Environment.,

"The principal task of the brain is to compute the survival strategy most likely to enable the organism to evade death and produce viable offspring. A computational problem is intractable if the number of computational steps required grows super-exponentially with the complexity of the problem. The traveling salesman problem (Bern & Graham 1989), finding the shortest route round n cities illustrates this, growing with (n-1)! A problem may also be formally undecidable in the sense of Gödel. Many adaption-survival problems in the open environment share the characteristics of intractable problems, because each strategy tends to be matched by a competing strategy in another organism and the number of options rapidly exponentiates. An active organism must also complete a processing task within 0.1-1 second if it is going to have survival utility, regardless of its complexity. Such arguments make it clear why parallel processing is an integral feature of vertebrate nervous systems."

In each step in our modern lives, though no different in real terms with the lives of human individuals in any era in human history for that matter, we are required to make decisions about effectively intractable problems. The human individual has largely managed to tackle successfully the computational problems associated with survival, and it did so by utilising our brain's chaotic potential. Thanks to our innate ability to engage and utilise chaotic processes led to the establishment of numerous attractors, providing solutions for many problems. Attractors manifesting in numerous forms and shapes, tangible and intangible, matter-transforming or social and mental constructions, tools in the constant grappling with nature, while at the same time continuously transforming into new shapes and forms.

Thursday, 6 March 2008

Thinking (with)in and (with)out the brain.

New thoughts:
A distinction between thinking as it occurs in the brain and thinking as it is done by the use of language and logic combined.

The brain has the ability to provide solutions to problems as long as the relevant concepts are provided. The concepts provided must confer meaning to the individual otherwise the brain would not process them in an efficient manner

The thinking which is done by the use of language uses external tools and its efficiency, in most of the cases, is doubtful. It is done 'outside' the brain and its strength barely approaches the actual potential of the human brain. Of course I can not deny that most of the thinking it has been done outside the brain, and has produced the breadth and length of the knowledge humanity possess now. But it kickstarted by thinking done 'inside' the brain. It was and is heavily geared by the intuitive resilience of the individuals that produced and produce the foundations of largely all fields of knowledge.

Other individuals took the thoughts intuitive spurts produced, made further alterations, added more concepts, primarily by thinking 'outside' the thought mechanisms of the human brain.

The human brain's understanding of reality, has an uncanny capability to provide solutions that no language techniques can match. This is because it works in the same way nature works. What drives nature is dictated by chaos, and the same goes for the brain. Built out of the same blueprint. It works in ways that the conscious mind can not fathom, and unable to follow. To talk about gaining knowledge of what underlies the intricate fabric of nature, this can only be revealed by utilising the intuitive powers of the human brain. All knowledge that exists is already there and our brain knows 'where', we should let our brain to take us there. Each individual has this knowledge within grasp. Let our brain guide us.

Alongside an intuitive knowledge gained explaining nature's workings, there is another body of knowledge accumulated, with very little use. A drawback, an obstacle and baggage which hinders our goal in understanding nature's phenomena. It is not only that it does not assist us, but it throws us away, it misleads us. We should pick and choose the concepts which we need, identify and subsequently ignore concepts that bear no relevance in what is needed to know reality.