Hi!

My name is Kim and I'm currently studying cognitive science in Gothenburg, Sweden.

I have a problem I was hoping someone would be kind enough to help me with. Before I describe the problem you have to know that my mathematical knowledge isn't very advanced... at all. The "challenge" is to explain it in a way that I can understand despite my lack of background knowledge.

I'm interested in the mathematical description of mechanisms of the mind called "Neural modeling fields" developed by Leonid Perlovsky, but the mathematical formulation of the mind's mechanism (Knowledge instinct) that Perlovsky calls "Dynamic logic" is impossible for me to understand! I understand that DL maximizes the similarity measure (L) between top-down (M) (mental concept-models) and bottom-up (X) (sensory input) signals in a process 'from vague to crisp'. But the details that explain how to achieve this is lost on me.

Sure I can look up the meaning of mathematical symbols like "∈" or a capital Pi, but I have no idea why you would write n∈N under a capital Pi.

Neural modeling fields - Wikipedia, the free encyclopedia

This is the Wikipedia page describing Neural modeling fields and Dynamic logic. I have a couple of journal articles that explain DL and they're all slightly different (why?) which I could send as attachments (I think) if the need should arise. But I would be forever grateful if someone would try and explain it to me in plain English and/or simple math (I know some logic, so that would be fine too - anything but this nonsensical assembly of letters and symbols really!).