(September 30, 2011 at 8:51 am)Rhythm Wrote: Induction is a problem of logic, and a disputed one at that. It doesn't seem to prevent the machines we build from functioning does it. In any code, the numbers used are agreed on in the key, so your analogy is again insufficient, because this is exactly what the numbers themselves are in the first place. An agreed upon set of symbols. Again, if the numbers were subjective, the key would mean nothing, the code would be undecipherable.
Actually, I think this a great analogy for your current position. You apparently do not have the key, and so numbers appear, to you, to be subjective and undecipherable. Have you noticed that the only way you've been able to provide examples that numbers are subjective is by introducing a ton of other objects into your analogies? You are confusing yourself.
I am not saying that math is not useful, and the machines we create using aspects of math are indeed in the world. But if numbers are objective, they exist independent of us. (or some of the other animals we have seen to be doing rudimentary counting)
We use math to simplify our understanding of how objects relate in the world. It is a tool from inside. Everything in the objective world has mass, and energy. What mass, and energy do you ascribe to numbers, as you believe them to also be objective?
When we remember we are all mad, the mysteries disappear and life stands explained.
Mark Twain
Mark Twain