Mathematical cognitive science is actually just formalization of human thinking, but it is much like computer science paired with quantum mechanics, much like quantum computing.
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Mathematical cognitive science is actually just formalization of human thinking, but it is much like computer science paired with quantum mechanics, much like quantum computing.
I made this collage many years ago - called it "Theory of Everything".
Infodumping:
The guy in the middle is Edward Frenkel (I literally forgot his full name, I knew he was called Edward Fra/enk... and then I couldn't remember... ) but he's one of my idols. Plus he wrote about the Langland's program, which is like the unified/ theory of everything in the math field. Also he is a human of value, as I have read in his autobiography "Love and Math" (which I sadly never finished, because so much thoughts and literally too few time to analyze everything til the end.)
The green thingy in the top right is a Lorentz attractor. (Sidenote: I have huge issues with left and right distinction, because my brain also thinks "reversely"/ mirrored, plus my dissociative mind tends to see me from above and what the fuck, do you mean this left or the left I see when I rotate my view by 180 degrees?)
The entire piece consists of chaos nd portrays my mind. (Secret order is hidden.) Intuitive paths...
The main parts are tesseract-nets, 3-dimensional nets of a four-dimensional cube, or hypercube/tesseract.
Quantum foam included! This word was introduced by John A. Wheeler as he tried to describe the immense activities on the quantum scale. Cool thing is: it, say rhe spacetime net, *appears* smooth at the first look, but if you zoom into it, it will look like "foam", chaos intensifies!
This brings me to the concept that all pure deterministic values (1 OR 0) are a product of a superordinated probabilistic system as proposed in Quantum mechanics (procentual probabilities, like 1 AND 0). A probabilistic system gets deterministic if observed/interacted with. Leads to wave function collapse. The wave function collapse is a prduct of a cross-section of the wave function, so to speak.
This leads to "Euler's identity: a formula that describes that cosine and sine are just 2-dimensional pictures of the 3-dimensional helix.
Also: what came first: Natural, imaginary or real numbers?
My solution for a theory of everything: Trying to make General Relativity fit with Quantum Mechanucs on the SAME LEVEL is line comparing apples with apple trees... you see what I mean: one thing is sub-ordinated, the other superordinated, one thing is nested onto the other...
Leads to ideas regarding recursion and furthermore self-reference combined with thoughts bout Gödel's Incompleteness.. (That's gives it a whole new level...*pun intended*)
Fractal pattern, fractal dimensions and dimensions in general. A dimension is just how much dots (0-D) are connected: 1D: the line (1 dot has one connection to another dot), 2D: the square (one dot has 2 connections to another dots), 3D: the cube (one dot has 3 connections); 4D: the hypercube (one dot has 4 connections to other dots)... yoz see a pattern?
Leads indirectly to quaternions and other hypercomplex number systems...
Relation to Platonic solids? Paterns of three, (the tetrahedron, octahedron and icosahedron), four (cube) and five (dodecahedron)
Data science/ statistics side thought - everything is just mathematical information. Physical reality is embedded in Mathematical reality, and is the rounded version of the infinitely complex Mathematical reality. Loops to the thought of wave function. Something is just *real* if it interacts, otherwise it's everywhere and nowhere simultaneously. Hence if it interacts it needs to be "rounded" aka the probabilities need to simiplify themselves.
Side note to Synergetics (After Buckminster Fuller after whom the C60-molecule "Bucky-ball" is named: regarded as geometry of thinking; and after Hermann Haken, (who is still alive and almost 100yo and lives in Stuttgart currently and was born in Leipzig, just 150km away from where I live.): acoording to Haken, Synergetics is the study of interaction. One important upshot: microscopic chaos creates macroscopic order. ...backloop to my idea about deterministic and probabilistic systems (equivalent)
Utter amazement of this terribly chaotic stream of thoughts... that's when you think recursively AND self-referently... i am just imitating the logic of the universe... a living paradox whose only escape is the meta level (reference to implications of gödel's incompleteness theorems)...
Whatever. I have head aches now.
That was intense brain storming...
And keep in mind:
Speculation and skepticism are both the key to theoretical discoveries.
(Inconsistent ideas get transformed/ erased.)
This thought stream is literally the upshot of my now already 9 years old hypothesis, or some few key concepts...
Comparing Quantum Mechanics with General Relativity in a direct manner is like comparing apples with apple trees...
Actually the one is nested into the other. That's what makes this equation work out in the end.
Or as Hermann Haken put it "Microscopic chaos creates makroscopic order." (Synergetics) - this is when a deterministic system, such as proposed in GR, is created by a subset system of probabilism, as proposed in QM.
Who would have known you need deep emotion to handle this level of the deepest abstraction of logic?
Who would have guessed it needs the mind of a biological being to understand the matrix of the reality of consciousness?
#beautifulparadoxity #thebeingthatunderstandsitself