1- Hilary Putnam on left: brain is an information processing
system, the same as computers. He called it Computational theory of mind.
2- David Marr tri-Level Hypothesis: to understand an information processing
system we should analyze it in three levels: Computationaly (what’s input and output, what's the problem), Algorithmic (how to solve it) and implementation(physical level).
Based on 1 and 2: understanding
the brain means, analysing all cognitive models in three levels of Marr.
For the first levelof Marr, Computational case, what we can do?
We can check if it is NP-Complete or not.
Let’s think its NP-Complete then it means it’s complety wrong?
In other words our brain is not capable of running such a model?
Nope, brain is much more smarter, it shrinks some parameters then solves the problem.
It means Instead of NP-Completeness we should check Prameterized
complexity analysis.
Yes, That’s all. My thesis!
This is really amazing! I really liked your two recent updates. It kind of reminds me of this article that I read yesterday about neuroscience and mathematics in which this question was discussed: is mathematics already there and we find it or it's all in our minds and we create it?
ReplyDeleteThis is more or less the same. I wonder whether all these solutions like IBM synapse project the solutions that were primarily there or it's just a combination of thoughts of some super creative and smart people!