Is there any way to mathematically represent an emotion in itself? We can describe properties of emotions through stuff like periodic functions, differential equations, randomness, etc. But is there any mathematical structures that distinctly exhibit an emotion, such as Gladness? Of course a parabola looks like a smile, but that is flat and superficial, of course positive numbers are positive, but that is only one very simple relation to an emotion. Are there any groups, spaces, topologies, or other that generate varieties of structures that interact in a glad way, for example? Or who have naturally glad operators and properties, interacting complexly as a living mind?
>>12277266>yes it's called explosionThe idea is to see if it could be true under any circumstances
>not how math worksI'm using that model because other models might fail to correspond to reality. A rigorous way of putting would be, have two sets. If every element in one can be mapped to some other, then they are the same quantity, if one or more elements fails to land, different quantity.
>>12277150Groups and symmetries get closer in the direction. The idea is any mathematical concept that has some notion of "life" in it, where within the realm of mathematics, you can follow anything from the logical implications of that object, to the natural sets/topologies/spaces it creates, to the operators it comes with, and it feels more like a living system than inert truth. Like how physics is mathematical but also in motion, in more ways than just having the variable "t" in their equations.
