3 ms·

Am I the only one visualizing some of my most creative thoughts in a mental palace that is formed by many distinct (euclidian) spaces, whose axis connect to eac

Am I the only one visualizing some of my most creative thoughts in a mental palace that is formed by many distinct (euclidian) spaces, whose axis connect to each other through a graph ? Closest thing that can describe this I found are simplicial sets: picture: https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRx5XamWZ8s41oAUyuvbNm4VjesDr3AbpMuKNHdQWKDxJP4LoE2nSYkCdaADTL9VeSjNb0&usqp=CAU https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRx5Xam... It seems it's used by cognitive models, although I'm not formally trained enough to tell exactly how: https://arxiv.org/pdf/1703.08314.pdf https://arxiv.org/pdf/1703.08314.pdf

mewpmewp2 3y ago
I wish I had something like this in my head to tie things in together. Right now I feel like my understanding of things is so disorganised and "lucky" in a sense. I feel lucky that I have grasp of anything.
- endofreach 3y ago
  Wow, well expressed. That's exactly hoe i feel. Not momentarily, but with everything. Though i am actually not intelligent, i just have good intuition and luck to grasp some of what i need to "unddrstand".
giva 3y ago
I don't know what a simpilician set is and wikipedia didn't really helped me. However I could roughly describe my "mind" as many mental maps where concepts are laid out and connected in different ways. Learning means putting new things on these maps a thinking is navigating through them.
- kjqgqkejbfefn 3y ago
  This is just a deleuzian metaphor for the weird kind of space I perceive certain abstract thoughts with. >many distinct (euclidian) spaces, whose axis connect to each other through a graph Imagine having pictures hanged on the walls of your mental palace that act as portals to others rooms and corridors within that palace, and that must exist parallelly to each other, in different "universes" otherwise their volumes would intersect. The kind of geometry the Antichamber video game features. Or picture this: a representation that relies on its axis to convey meaning, for instance the political compass meme. Walk along an axis long enough and it will connect orthogonally to another axis, for instance, authoritarianism may connect to anger from the emotional compass. Simplexes: a generalization of triangles to n dimensions. A 2-axis representation (the political compass for example) could connect to spaces with 3 axis (the ascended political compass: https://external-preview.redd.it/UQgZCVQ4OLg_Hz16FGdu9-qxfq9VUeL3HenCU4lyyjw.jpg?auto=webp&s=e3a5e758ad91938aeac16ea6349cf5ebd521f9b4 https://external-preview.redd.it/UQgZCVQ4OLg_Hz16FGdu9-qxfq9...). To represent this you could connect one tip of a segment (a 1-simplex) to the tip of a triangle (a 2-simplex), each vertex in these figures representing an axis. This is where my deleuzian metaphore collapses because I'm conflating the notion of axis with the notion of the "left" and "right" part of an axis. And I'd also be tempted to consider that planes should be allowed to connect to axis (to support that portal through a painting I mentioned above). So this is just a sketchy thought, but this seems legitimate as it's not something I conceptualize but something I perceive (sometimes). But I think there may be something interesting behind these perceptions because it seems they deal with separate concerns through some kind of orthogonal geometry that is structured: putting a concept in a dimension orthogonal to another concept doesn't lead that dimension to be orthogonal to all other dimensions/concepts in your mental palace, as that would be the case if it took the shape of a n-dimensional space. And because the orthogonality is structured, it allows to deal with more than 3 concepts spatially at the same time and embed them within something your eye can picture in 2D or 3D, using diagrammatic annotations (colors, marks, etc). Finally it allows to put a concept C in several orthogonal relationships to distinct concepts, for instance A and B, and to keep these different instantiations of concept C orthogonal to each other. This is what my mind pictured as I was explaining this ; colors and graduation marks/boxes faithfully representing what I just perceived: https://pasteboard.co/kMecyenyZdzg.png https://pasteboard.co/kMecyenyZdzg.png Note that the two colors, the green of the axis and of red of the sticks could be thought as two individual concepts of their own, orthogonal to each other. https://pasteboard.co/3VYEyepnVouQ.png https://pasteboard.co/3VYEyepnVouQ.png If a mathematician is reading this, please accept my deepest apologies. Here's another paper that seems thematically related to this: https://ieeexplore.ieee.org/abstract/document/10008602 https://ieeexplore.ieee.org/abstract/document/10008602
karmakaze 3y ago
Reminds me of the saying about a poet vs mathematician, the first gives different names to the same thing and the latter the same name to different things. Maybe that's why I can't stand highly descriptive prose (aka describing the water while I'm drowning over here). Now what if you're a poetic mathematician (or mathematical poet), what's that mind map look like?
- LargoLasskhyfv 3y ago
  Well... what about that palace of mind thing, and the ability to rewind into almost all older memories at will, and on demand being able to look up things from there, like reading, without having it memorized at all? Also full stream of consciousness, like smells, tastes, light wind on your skin, 'silken air' at just the right temperature and humidity. All of that arranged in something like 'eigengrau', represented by glitterlike points connected by graphs, mostly in 'phospene' colors, but not exclusively so. Sometimes very non-euclidean, moving/warping. KNOWING what's behind every glitter point, like small cinema, large home theatre, from several points of view at the same time. No words involved. Just visuals. Thinking, like juggling/weighing blobs, like that glowing stuff which moves slowly up and down in a lava-lamp. Somehow 'knowing' what each blob, its size/form/viscosity/weight/speed/color/brightness/'feel'/smell represents. Slowly emerging new 'visuals' from this. Which are then translated into 'language', if ever.
  - mistermann 3y ago
    Like (parts of) this sort of thing maybe? https://youtu.be/BLmAV6O_ea0?si=OdPbwBXs6mOR5Xj2 https://youtu.be/BLmAV6O_ea0?si=OdPbwBXs6mOR5Xj2
    - LargoLasskhyfv 3y ago
      No. That's too dense and organic. Mine are rather abstract, much padding, empty eigengrau between 'loci', and more 'geometric'? edit: I knew about mandelbulbs before. My inner mindscapes are not like that.
  - kjqgqkejbfefn 3y ago

mewpmewp2 3y ago

I wish I had something like this in my head to tie things in together. Right now I feel like my understanding of things is so disorganised and "lucky" in a sense. I feel lucky that I have grasp of anything.

endofreach 3y ago
Wow, well expressed. That's exactly hoe i feel. Not momentarily, but with everything. Though i am actually not intelligent, i just have good intuition and luck to grasp some of what i need to "unddrstand".

giva 3y ago

I don't know what a simpilician set is and wikipedia didn't really helped me. However I could roughly describe my "mind" as many mental maps where concepts are laid out and connected in different ways. Learning means putting new things on these maps a thinking is navigating through them.

kjqgqkejbfefn 3y ago
This is just a deleuzian metaphor for the weird kind of space I perceive certain abstract thoughts with. >many distinct (euclidian) spaces, whose axis connect to each other through a graph Imagine having pictures hanged on the walls of your mental palace that act as portals to others rooms and corridors within that palace, and that must exist parallelly to each other, in different "universes" otherwise their volumes would intersect. The kind of geometry the Antichamber video game features. Or picture this: a representation that relies on its axis to convey meaning, for instance the political compass meme. Walk along an axis long enough and it will connect orthogonally to another axis, for instance, authoritarianism may connect to anger from the emotional compass. Simplexes: a generalization of triangles to n dimensions. A 2-axis representation (the political compass for example) could connect to spaces with 3 axis (the ascended political compass: https://external-preview.redd.it/UQgZCVQ4OLg_Hz16FGdu9-qxfq9VUeL3HenCU4lyyjw.jpg?auto=webp&s=e3a5e758ad91938aeac16ea6349cf5ebd521f9b4 https://external-preview.redd.it/UQgZCVQ4OLg_Hz16FGdu9-qxfq9...). To represent this you could connect one tip of a segment (a 1-simplex) to the tip of a triangle (a 2-simplex), each vertex in these figures representing an axis. This is where my deleuzian metaphore collapses because I'm conflating the notion of axis with the notion of the "left" and "right" part of an axis. And I'd also be tempted to consider that planes should be allowed to connect to axis (to support that portal through a painting I mentioned above). So this is just a sketchy thought, but this seems legitimate as it's not something I conceptualize but something I perceive (sometimes). But I think there may be something interesting behind these perceptions because it seems they deal with separate concerns through some kind of orthogonal geometry that is structured: putting a concept in a dimension orthogonal to another concept doesn't lead that dimension to be orthogonal to all other dimensions/concepts in your mental palace, as that would be the case if it took the shape of a n-dimensional space. And because the orthogonality is structured, it allows to deal with more than 3 concepts spatially at the same time and embed them within something your eye can picture in 2D or 3D, using diagrammatic annotations (colors, marks, etc). Finally it allows to put a concept C in several orthogonal relationships to distinct concepts, for instance A and B, and to keep these different instantiations of concept C orthogonal to each other. This is what my mind pictured as I was explaining this ; colors and graduation marks/boxes faithfully representing what I just perceived: https://pasteboard.co/kMecyenyZdzg.png https://pasteboard.co/kMecyenyZdzg.png Note that the two colors, the green of the axis and of red of the sticks could be thought as two individual concepts of their own, orthogonal to each other. https://pasteboard.co/3VYEyepnVouQ.png https://pasteboard.co/3VYEyepnVouQ.png If a mathematician is reading this, please accept my deepest apologies. Here's another paper that seems thematically related to this: https://ieeexplore.ieee.org/abstract/document/10008602 https://ieeexplore.ieee.org/abstract/document/10008602

karmakaze 3y ago

Reminds me of the saying about a poet vs mathematician, the first gives different names to the same thing and the latter the same name to different things. Maybe that's why I can't stand highly descriptive prose (aka describing the water while I'm drowning over here). Now what if you're a poetic mathematician (or mathematical poet), what's that mind map look like?

LargoLasskhyfv 3y ago
Well... what about that palace of mind thing, and the ability to rewind into almost all older memories at will, and on demand being able to look up things from there, like reading, without having it memorized at all? Also full stream of consciousness, like smells, tastes, light wind on your skin, 'silken air' at just the right temperature and humidity. All of that arranged in something like 'eigengrau', represented by glitterlike points connected by graphs, mostly in 'phospene' colors, but not exclusively so. Sometimes very non-euclidean, moving/warping. KNOWING what's behind every glitter point, like small cinema, large home theatre, from several points of view at the same time. No words involved. Just visuals. Thinking, like juggling/weighing blobs, like that glowing stuff which moves slowly up and down in a lava-lamp. Somehow 'knowing' what each blob, its size/form/viscosity/weight/speed/color/brightness/'feel'/smell represents. Slowly emerging new 'visuals' from this. Which are then translated into 'language', if ever.
- mistermann 3y ago
  Like (parts of) this sort of thing maybe? https://youtu.be/BLmAV6O_ea0?si=OdPbwBXs6mOR5Xj2 https://youtu.be/BLmAV6O_ea0?si=OdPbwBXs6mOR5Xj2
  - LargoLasskhyfv 3y ago
    No. That's too dense and organic. Mine are rather abstract, much padding, empty eigengrau between 'loci', and more 'geometric'? edit: I knew about mandelbulbs before. My inner mindscapes are not like that.
- kjqgqkejbfefn 3y ago