Showing posts with label theorem. Show all posts
Showing posts with label theorem. Show all posts

Sunday, July 12, 2026

Brains might use different languages in external and internal communication.



Brains might not use natural language for logical reasoning. Or they don’t use language. That we can use in a verbal form. This means that the brain’s internal communication requires a different communication protocol. Than humans use in communication with other people. We can call those protocols languages. But logic doesn’t need a similar language. As we use in speech. Logic needs communication. And a way of communication. It can be different. But we can call that communication “language”. 

We understand natural languages as language. That we speak and write. But nature is full of languages that we cannot use in verbal communication. Things like hormonal and pheromone-based chemical communication. It's very common. Most of the neuron’s mutual communication is a combination of electric and chemical signals. So that means those communications. They are also natural. But the key component in information is this. Brains must have an ability to separate external and internal signals. 

Brains are very complicated structures. They contain many hidden neural networks and hidden layers. We know that only a small part of the brain's internal communication reaches consciousness. 

This raises an idea. That maybe humans use different languages to communicate with other people. Than brains use their internal communication. So could the cerebral cortex. The diencephalon and brainstem use different communication languages for internal communication. 

If the brainstem uses the same language for internal communication as the cerebral cortex. That could disturb the brainstem's internal communication. And that can cause death. The brainstem controls vital functions like blood pressure, pulse, and other things. In some models. The diencephalon has a mission. It is to translate brain signals from the cerebral cortex. To the brainstem. If those three brain layers use the same language. That can be hard. To separate the signals. And that can cause problems. 

When we expand this model. We can say that maybe all brain areas, including the cerebellum, have different languages. The cerebrum and cerebellum have different languages. But brain lobes like the frontal lobes and temporal lobes. They use different types of dialects. That helps the brain separate signals. That come from a certain area. And that helps to keep those signals in order. This is important. When. Brains make decisions. About the reactions to a certain stimulus. Every stimulus requires a different type of response. 


So. The use. Of different languages. In internal and external communication protects brains. 


It’s possible that all human brain areas use different types of language. If we want to use computing as a model. How the brain analyzes information, we must take note of. Computers have three types of programming code. The lower-level programming code. That code connects the hardware to software. The operating system level. And the highest part is the program. All three main layers are made using different types. Of programming language. 

Those three layers are meant for internal computer communication. The network communication uses other protocols and languages. Than the computer internal data flow. But then we can transform that model to the human brain. If human brains use different languages than humans use in communication with other people. That protects the brain from outside effects. In this model, information comes to the brain. through the brain area. That is reserved for a certain sense. When other humans speak. Data travels in the brain lobe. 

That handles those types of signals. Information travels to the Broca lobe. There, those neurons translate that signal into the form. That. The brain understands it. If humans. Use the same language for internal and external communication. That thing causes a situation. That other person can take another person under control. Because external communication is different. Than the brain's internal communication. Brains realize. That data comes from external sources. 


https://mcgovern.mit.edu/2026/07/06/separating-logic-and-language/


https://www.pnas.org/doi/10.1073/pnas.2520095123


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


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


https://en.wikipedia.org/wiki/Human_brain#See_also

Thursday, October 24, 2024

The mysterious genius Srinivasa Ramanujan.



Srinivasa Ramanujan (1887-1920). (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)


The number theory is thankful to Srinivasa Ramanujan (1887-1920). The thing that makes this person, who was born into a poor Indian family in colonial India was a self-educated person, who made a lot of things in mathematics. Those theories are still handy tools for many types of advanced calculations. There are many interesting details in the life of that young person, who passed away in 1920. Many people say that Srinivasa Ramanujan died too early. If that person could live a longer life, he might stand in the place of Albert Einstein. 

There were many interesting things in Ramanujan's early life. The thing is that Ramanujan failed twice in college. Because of his passion for mathematics. And that's why he flees from home. Maybe he was afraid that his parents were angry. Finally, he went to Trinity College Cambridge where he started to work with Hardy and Littlewood in 1914. 
Pages from Ramanujan’s lost notebook. (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)







"Ramanujan’s first letter to G.H. Hardy included formulas (5), (6) and (7), strange nested fractions that Hardy said “defeated me completely; I had never seen anything in the least like them before.” (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)



(Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

There are lots of theories that this man created. At a young age, this man was very poor and also he had very big health problems. In 1912 he sent letters to famous mathematicians and one of them, G.H Hardy the expert in number theory and analysis at the University of Cambridge. When Hardy got the letter from Srinivasa Ramanujan. That man said, that his greatest work for mathematics was that he found Ramanujan. Then Hardy called Ramanujan to England. There Ramanujan made some works for Cambridge. He lived in England from 1914 to 1919. Then he returned to India where he died in 1920. 



"Hardy and Ramanujan collaborated closely for years. They exchanged letters about mathematics until Ramanujan’s death." (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)


And then he went sick. After returning to India Ramanujan died. An interesting thing is that Ramanujan died almost similar way as his colleague Nils Henrik Abel (1802-1829), a Norwegian mathematician. He came to his university, did impressive work, and then got some illness and then that ultimate genius died at a young age, 32. 


Images: (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

Ramanujan work. 

Still today Ramanujan's work is very highly respected. 
The main thing that Ramanujan did is this: he introduce a way to calculate fractional numbers. There are five ways to introduce number 4.  The number four can be shared in pieces like this (2+2), or, (2+1+1), or, (1+1+1+1), or, (1+1+2). And then it is easier to make things like division calculations. 4/8 can be introduced like this: (1+1+2)/(2+2+2+2). And we all know that 4/8=1/2. 

The interesting thing is that. Those numbers can also be decimal numbers, which means that we can introduce as an example number 1 in this mode. (0,25+0,25+0,25+0,25). Or we can introduce number four in this mode. (0,5+0,5+0,5+0,5+0,5+0,5+0,5+0,5). Or we can share 0,5 to two 0,25. That is one of the most interesting things in mathematics. There are many ways to benefit from that model. 

The Ramanujan theorems play a key role in singularity calculations. There the curves and lines connect a series of points. The introduction for that is in the Quanta magazine article. 

The thing is that Ramanujan's work could help Grigory Prelman in his work with the Poincaré theorem. 

https://www.quantamagazine.org/srinivasa-ramanujan-was-a-genius-math-is-still-catching-up-20241021/

https://en.wikipedia.org/wiki/G._H._Hardy

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

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

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

List of Ramanujan work. 



Wikipedia, Srinivasa Ramanujan

All images: (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)


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