Posts Tagged ‘Banyan Of Knowldege’

Entangled Minds, Entangled Knowledge

June 27, 2017

HOW DOES THINKING WORK? Not straight, and beyond twisted!

Does thinking work linearly? No, not at all. Linear logic is how mathematics is presented to the masses. Yet, research mathematicians do not proceed that way the first time they figure out theorems. Mathematicians typically work out explicit baby examples, and then try to generalize, guided by these particulars; physicists do the same; they are all following the same method used by all small children!

Not only is linear logic not really the way the mind explains things to itself, but there is plenty of evidence that even what are viewed as the foundation of basic logics need to be discarded, if one wants to understand the way things are really understood.

What’s below is increasingly supported by neuroscience. The brain “connectome” is ever more important. As I have said in the past, it lives (so to speak) in high dimensional space. Plato had a two-dimensional wall and a three-dimensional world. But now we understand dimensions better!

This illustrates a research article on the importance of the Brain “Connectome”, a much more general spaces than those used to depict experiments in Quantum Physics

A professional philosopher opined in Aeon that Indian philosophy which is more than 3,000 year old compared knowledge to a banyan tree, whereas Western philosophy just said it was a vulgar tree as they are known in Europe, with a single trunk. Silly stuff, because, in any case, knowledge is a forest (knowledge of how to write haikus, or making beer, has nothing to do with ship hull construction!)  

Silly stuff, because we have learned so much more in the meantime! Overall the philosophy of 35 centuries ago can carry a long way, indeed: all our civilization rests on it. Indian mathematicians completed the so-called “Arabic numerals” which they got from the Greeks in a very tentative form. Actually the origins of writing and counting systems are probably 8,000 years old (that we know of; counting animals, and communicating that, is probably a basic hunting skill hundreds of thousands, if not millions, of years old).

Lots of thinking has enabled, meanwhile, to establish certain knowledge which we can know reverberates towards general wisdom. “Certain knowledge” is another word for science.

***

So several points, in  support of the ENTANGLED MIND, as the state-of-the-art of civilization has it:

First modern logic (post Turing) shows that a logic can pretty much be anything. None of the axioms viewed as mandatory in the past are actually necessary: even allowing (A and Non-A) works.

Second, how is that wealth of logics possible, and still we call them logics? The answer is simple: logic is actually neurology, and neurology is a collection of sets of networks in what physicists call a “configuration space”. In neuroscience this is now called the “Connectome”. In Quantum Mechanics, those spaces are Hilbert Space. In neurology, hence logics, those spaces are much more general. In any case, at the very least, the topology of these neurologies and logics is not simply connected. Here is your banyan tree, 35 centuries old, as mathematical concept:  

https://en.wikipedia.org/wiki/Simply_connected_space

Unions of banyan trees and the ground they arise from, are not simply connected. Well beyond that, thinking is a superbly high dimensional activity involving extravagant topologies and geometries: 

Many, many dimensions therein this “connectome”!

Third, evolution itself is not simply connected. All sorts of genetic messages go this way and that, across species. Co-evolution of species actually show that beyond the evolution and co-evolution of species and the ecological niches they evolve, what matters most is the evolution of traits inside ecological systems. Yes, quite a bit as in the movies “Avatar”!

https://www.nature.com/news/biodiversity-moves-beyond-counting-species-1.22079

Or, more generally, the co-evolution which matters most is that of the traits of ecosystems.

Quantum Physics posits that reality is much more, infinitely more, than multifaceted. Reality is not just multispecified, but multispacified. Indeed, each quantum experiment defined well enough to exist posits the existence of a Hilbert space. Each different experiment has a different Hilbert space. Some can be two-dimensional, some can be infinite dimensional. Measuring a quantity is identified to an “operator” inside said Hilbert space.

Science is certain knowledge. But it is subject to circumstances, conditions and context. In a sense, it is more important how we established sciences and guess new ones. We don’t need yesteryear’s quaint concepts. Too much knowing nothing kills better thinking (Internet civilization, as it is, is going nowhere intelligent.) Example: Monads (- single entities) exist, say those infused with obsolete philosophy. Instead, we moderns have the quantum & neurological networks!

There all the interconnections of the human mind, its incredible spaces of immensely complex topologies and geometries come in play mixing logics, pathos, ethos, wishful thinking and metaprincipled stances within, and against, the universe.    

“The Greeks are barbarians,” said the Garga Samhita, a Sanskrit text on the life of Krishna, “yet the science of astronomy originated with them and for this they must be reverenced like Gods.

The Greeks invented astronomy, precisely because they were rough. Passions lift the spirits, after resting them in their vigorous embrace.  The Gods are barbarian, just go out there in nature, listen to thunder roll, and tremble.

Patrice Ayme’

 


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