(Drafts of a future post.)
Could you help me to formulate statistics with the properties I'm going to describe?
I want to share my way of seeing the world, analyzing information, my way of experiencing other people. (But it's easier to talk about fantastical places and videogame levels, so I'm going to give examples with places/levels.)
If you want to read more about my motivation, check out "part 3".
I got only two main philosophical ideas. First idea is that a part/property of one object (e.g. "height") may have a completely different meaning in a different object. Because in a different object it relates to and resonates with different things. By putting a part/property in a different context you can create a fundamentally different version of it. You can split any property/part into a spectrum. And you can combine all properties of an object into just a single one.
The second idea is that you can imagine that different objects are themselves like different parts of a single spectrum.
I want to give some examples of how a seemingly generic property can have a unique version for a specific object.
Example 1. Take a look at the "volume" of this place: (painting 1)
Different nuances of the place reflect its volume in a completely unique way. It has a completely unique context for the property of "volume".
Example 2. Take a look at "fatness" of this place: (painting 2)
Different nuances of the place reflect its fatness in a completely unique way.
Example 3. Take a look at "height" of this place: (painting 3)
...
I could go on about places forever. Each feels fundamentally different from all the rest.
And I want to know every single one. And I want to know where they are, I want a map with all those places on it.
I think my ideas may be important because they may lead to some new mathematical concepts.
Sometimes studying a simple idea or mechanic leads to a new mathematical concept which leads to completely unexpected applications.
For example, a simple toy with six sides (dice) may lead to saving people and major progress in science. Connecting points with lines (graphs) may lead to algorithms, data structures and new ways to find the optimal option or check/verify something.
Not any simple thing is guaranteed to lead to a new math c... (read more)