Dear Alexey and Lev,
Thank you for taking the discussion forward. This response is to express reasons of my ignorance as I had also said that even though I liked the persuasive arguments favoring the 'power of beauty', which I can feel within, but the essay was too abstract to make me feel the ground under my feet.
>> 1."mathematics alone does not appeal to me as the sole source of the genesis"
> We agree; you may find some arguments in support of that in our composition.
>> 3. "what gives beauty the causal power?"
> We never said that the power of beauty is causal.
I suppose, I formed the incorrect ideas from the following.
"It is with the power of beauty that the existing is connected with that which is only being summoned into existence: Being with intention and goal. The world was created for its beauty, and man--as one who may hear that and respond."
Essay ends with, "Beauty is the Moira and Eileithyia for birth", and its title is, "Moira and Eileithyia for Genesis". So, even though I did not know the background of ""Moira and Eileithyia", I presumed that you are constructing a rationale for the creation.
>> 2. "Of course, none other is eternal as mathematics."
> We never said that, especially with such a certainty.
No, you did not say that explicitly but I was looking for reasons why the beauty of mathematics is isolated from others to have such 'existential' powers. Though, you do say, "Eternal beauty calls to new manifestations; by evincing the contemplation of itself". Even though cosmos holds the beauty at such grand scale that can take the breath out everytime one contemplates its majesty, but cosmos may not be eternal.
>> 4. "If it is truly eternal, then what is still left to make 'calls to new manifestations' that has not already been called before?"
Thanks for appreciating it, but this confusion stemmed again from the the same presumption of 'beauty being source of existence'. In fact, I must have read 5 times, "Eternal beauty calls to new manifestations; by evincing the contemplation of itself, it beckons birth...", yet I had difficulty forming a picture of how beauty could 'evince the contemplation of itself'. Only now I understand that it is through an agent with 'aims and desires'. So now, it appears that 'aims and desires' are fundamental source of such beauty. In fact, it is very much in line with -- mathematics is creation of minds like ours, which may not have any limits.
> Cartesian implication of human ability to see clearly and distinctively perfection of mathematical ideas. That is where Descartes introduces his trust to God as a foundation of cognition. In this respect, our mentality is not fully foreign to divine's.
Can I presume that "our mentality is not fully foreign to divine's" is your determination, and therefore belief, from Cartesian argument, or is it just a reflection of what Descartes proposed?
> "Inspiration belongs to the kingdom of freedom."
My god, what nuggets! It can roil one into such recursive mental exercise, that one will begin to see beauty of abstract thoughts, if one has not seen already, which in fact could be the source of mathematical thinking.
And thank you for proposing to peruse my essay. I do hope that you discover why placing information, and semantics irrevocably in the domain of minds may have kept us from not making headway on the understanding of emergence of minds. Please do not hold anything in criticizing it plainly, all nuggets from you will be welcome!
Rajiv