Vladimir,
Thank you for your wonderful thesis and useful quotes. You'll notice from my essay that our conceptions of the limitations of mathematics as a description of nature closely coincide. Having suffered the indignation of mathematicians for my specific proposals for rationalising the relationship your essay was a great pleasure to read.
I do understand how some have struggled with your style of prose, doing so a little myself, but I did completely understand and agree with your message. Our whole way of perceiving reality needs a paradigm shift. I propose a first step identifying specific issues, and challenge the fundamental proposition of maths and predicate 'logic'; a=a. I hope you will agree this. I also, I hope, show the power of 'higher order' or logarithmic spaces and dielectrics, building an ontological construction which offers rationalisation of Bells theorem.
I particularly agree your; "crisis of representation and interpretation", "ontological gaps in the grounds of basic sign systems",
I suggest that 'nested' Cardano's Sample Spaces and 'Marilyn' both exposed the more consistent reality and show that; "the problem of justification of mathematics for some strange reason is diligently 'swept under the rug'."
I congratulate you on the essay, and for tackling a critical subject head on. In particular I look forward to your views and comments on mine, which uses a little less philosophical but more epistemological approach.
Very best of luck in the competition.
Peter