scratch123 wrote:No having different definitions in various fields means people can't decide what randomness really means. Like the wikipedia article said sometimes it means lack of pattern and sometimes it means lack of predictably. I am starting to get an idea from the people in this topic that people lean toward the "lack of predictability" definition while I prefer the "lack of pattern" definition. I am also not introducing my own definition of randomness either. It happens to be a definition that I have read about and happened to agree with. It is well known that humans are good at pattern recognition which is why they can beat computers at many tasks. It has to do with the fact that humans process stuff in parallel while computers have to do tasks one at a time.
It simply means that different definitions are appropriate in different fields. The reason for this is that if I start a new field and notice a property in it which is similar but not quite the same as one in a different field, I can either come up with a new name or name it by analogy. Usually people prefer the latter because it provides some intuition of what the property means and because it doesn't lead to an enormous explosion of jargon. Unfortunately this does mean you get multiple definitions. Usually though, only one applies at a time (and where more than one applies, usually context makes it clear or else people add adjectives to clarify which definition they're using:
a homogeneous differential equation could be one of the form dy/dx=f(y/x) or it could be of the D(y)=0 where D is some differential operator but it's pretty clear which one I mean from the equation I'm describing
sum can mean a binary operation on scalars, vectors, matrices, tensors etc. or can be an operation on a whole sequence. Combine this with the fact that, in physics, magnitudes of vector quantities are often referred to by the same name as the vector and you could have confusion: by the sum of two forces, do I mean the vector sum or their scalar sum? Well, I just solved the ambiguity right there for you.