(February 3, 2012 at 10:46 am)Abracadabra Wrote: Hey, I fully understand how axiomatic systems works. Euclid gave us that gift of the axiomatic approach and mathematicians have run with it to extremes. And it certainly has panned out and is useful within certain restraints.
However, ironically it is this axiomatic approach to the formalism that is the the very thing that is crippling it.
Well, that's not exactly true. The ideas that I would like to propose to change things up can be defined axiomatically too. So it's not the axiomatic approach itself that is the problem. It's that this approach has caused certain things to become invisible.
So the very first thing that needs to be done is to back up and get past the axiomatic approach long enough to see what is currently invisible. Then after we see the problem, we can return to a the axiomatic approach again armed with this new insight.
ooohhhhhhh.... wow. I'm stupid and can't read.
Even if you don't feel like discussing those ideas anymore, could you drop some links/books/etc. that demonstrate them well?
