Hey folks, so the extent of my knowledge in math is basic concepts from Calc I (I'm more of a programmer). Now, I was working on a 2D particle system and had a random thought: if I wanted to gauge the total amount of information contained in the system, how would I do it? The first idea I had was to somehow build a list of every possible state in the system thinking that if you could comprehensively know all the states of a system, this should equate to knowing all the information about the system. But then I thought, what if in such a state in a 2D particle system you had all the particles lined up along the perimeter of a circle. Doesn't this qualify as information? Or if all the particles lay along the perimeter of a rectangle? Or if a particle moved through time in a path that resembled a parabola? Wouldn't we all consider this to be some form of information? But none of this would be obvious from a comprehensive list of possible states, which can be thought of as the full set of data for the particle system. Assuming that the above would qualify as information, I got to thinking, what "creates" the information? Anyway, I got to this statement which I know is not a theory, or postulate, or hypothesis, or conjecture and certainly not scientific, but just a statement that seems to make sense: information exists when data represents mathematical structures, or conversely, mathematics is the set of axioms that, when applied to data, produces information. Does it make any sense? I'd love some feedback on this.