Dear Alexandre,
I read with great interest your depth analytical essay in the Cartesian spirit of doubt and specific suggestions and direction for mankind. Very close to me your ideas and conclusions:
«Among the best accomplishments of mankind we recognize science, art and Philosophy, as they have in common, all three, that they can bring in question the blindly accepted state of things in the world, at any level. Art and philosophy, being extremely relevant, as they justify most of the peculiar characters of humans, they hardly generate new technologies for human living; that doesnt mean that art and philosophy are simply useless, certainly not.»
I would also add the Tradition (the idea of the Absolute, Faith, Hope, Love, Justice, Goodness).
These thoughts are talking about the necessity of nominating Philosophy in the first place for a more reliable steering the future of Humanity: Philosophy-Art-Science-Tradition. Science as a global idea, but within a certain framework.
I fully agree with your conclusion.
Mathematics and Physics - two fundamental sign systems but ontologically is not justified. However, like all Knowledge. Fundamental science is experiencing a "crisis of representation and interpretation" (T.Romanovskaya «Modern physics and contemporary art-parallels of style»), "crisis of understanding", methodological crisis of philosophical foundations. As a result of the crisis - the concept of "multiverse" and misunderstanding of "TIME". How can mathematics be able to "close the physics" (mathematician Ludwig Faddeev an interview «The equation of the evil spirit»)? Solving the problem of substantiation of mathematics is a solution of the problem of substantiation of Knowledge.
At the time Henri Bergson wrote a good book "Matter and Memory". But unfortunately, he not found a deep connection between these two fundamental categories. Physics was on the way phenomenological unification, but now need deep ontological unification of matter to "grab" the structure of SPACE and then "grab" TIME as multivalent phenomenon Ontological (structural, cosmic) Memory. In the physical picture of the world no deepest meanings of the "LifeWorld " (E.Husserl). Physicists and lyricists must have the unified picture of the world rich in meanings of the "LifeWorld".
Fundamental science needs "general framework structure" (David Gross, an interview "What is in the space-time"). We have a good idea of N.Bourbaki - "mother structures". Going to the "absolute mother structure" ("general framework structure") should start from "Architecture Mathematics" Bourbaki, Cartesian «Cogito ergo sum» and Wittgenstein's idea that the structure of language is the structure of the world. "Event held in grasping structure means understanding" (G.Gutner "Ontology of the Mathematical Discourse"). As is well said A.Zenkin in his article "SCIENTIFIC COUNTER-REVOLUTION IN MATHEMATICS": «The truth should be drawn with the help of the cognitive computer visualization technology and should be presented to "an unlimited circle" of spectators in the form of color-musical cognitive images of its immanent essence.»
But in order to "draw" the truth, it is necessary to understand more deeply the Cartesian "Cogito ergo sum". Physics must continue on the path of geometrization, but geometrization ontological,gnoseological. "Science formulas" is not an assistant, need "Science forms" and "The General Theory of structures."
Physics must take the path of ontological unification of matter and not continue on the path of the phenomenological unification forces. Necessary deeper "digging" in the "Dialectics of Nature". You are absolutely correct about the need to write a better understanding of the dialectic. It should be redone and a deeper look at the "law of Nature" and "fundamental constants".
Unified picture of the world for physicists and lyricists - then management of the future of humanity more reliable, because there will be understanding. A broad competition of ideas in science and society. Already clear that the time has come "Democracy 3.0 ". In science and society. Here are just a big problem "closeness" and "openness." Problem of "closeness" in Science was well demonstrated Lee Smolin in «The Trouble with Physics».
The world situation is very alarming (politics, ecology, science and all existential risks) and therefore our responsibility to future Generations requires action. We need to hear the voice of the Earth, voice of the People to give up Hope to New Generation of Earthlings. We need a new "Big Common Cause" to save Peace, Nature and Humanity. Time has come and we start the path together with the new Generation of the Information age, going ahead.
I invite you to comment and appreciate my ideas and my essays from Contests FQXi Essay 2012-2013, in which I give a new conceptual structure of the Universe, based on ontological unification of matter at all levels of being of the Universe as a whole, model of the Universe, unified for physicists and lyricists.
Best regards,
Vladimir