(September 30, 2011 at 9:39 am)Rhythm Wrote: Again, the conceptual abstraction of numbers is a uniquely human thing (as far as we know). It is a system of making observations. What could be said about mass without referencing this system? Should have been clear from my first post that numbers themselves are not a thing with mass, or energy. It is a language, designed (and refined) to avoid subjectivity, so that concepts can be communicated between us avoiding any cultural, linguistic, or perceptual differences. The numbers themselves are conceptual abstractions, the things that they are used to describe are not. This is the reason that you do not have to leverage faith in dealing with numbers.
I had exactly this problem btw in high school, so it's kind of a trip back in time for me. I would reference subjectivity in algebra, I wish now that my teacher had explained this to me more thoroughly instead of saying "because it is". Hilariously, her response was factually accurate, even though it was unsatisfactory at the time. Think, 1+1=2 unless we're talking about human beings, then 1+1=3 (or even more). Thing is, the subjectivity in my objection was inherent to the bit about human beings and reproduction, not numbers as conceptual abstractions or what they represent.
That is extraordinarily clear. Thanks for dealing with my less than clear language on these points. I still hold the opinion that math as a language is still subjective, although it is more pure than any other as a form of communicating. Here is a bit that frames this much better than I can :
http://en.wikipedia.org/wiki/Wikipedia:R...jective.3F
When we remember we are all mad, the mysteries disappear and life stands explained.
Mark Twain
Mark Twain