
Originally Posted by
Sani5
Aye, top post.
However, rather than getting into the relative merits of the different philosophical disciplines -- empiricism, logic, metaphysics, et al, I will try and stick to the central thrust of my argument.
MATH SHOULD BE SUBORDINATE TO PHYSICS!
Why? Simple, really: Because history demonstrates that Mathematical truthes do not necessarily reflect physical reality.
Your examples are weak.
Math and reality are not separable. When a small child is picked on by a big bully and finally decides to return a strong blow in return, he or she has unconsciously calculated the existence of momentum and knows that more is needed than what was delivered in order to overcome and knock the bully back. We understand trigomometry when we first complete a pass in football and Michael Jordan had to understand how to adjust his center of mass in order to create "hang time" when gliding toward a basket. Math is not subordinate to physics. Math is physics. Math is observation. When we see the blue sky our eyes are making a mathematical computation. When math coordianted with tools allowed radio telescopes to "see" something our eyes cannot, did we make some conclusion that their measurements are wrong just because our eyes are "reality" from our perspective? Just as Earth was shown not to be an Aristotelian "special place" in the universe, so our eyes are no longer the final arbitrators they once were. Human chauvanism is hard to shake loose. The math of Ptolemy was very crude and is an example of "shortened" measurement.
Sani5, Maria Montessouri redesigned her elementary schools to reflect what you sense to be true. She did her thesis watching construction workers going through their apprenticeships and noticed that they were introduced to tools and material while vocabulary and math was something that was not memorized, but merely associated to the objects they held and worked with. They did not have to cram to understand what a hammer was. But they knew what a ruler was.They would not take words and try to make the world fit those words but would make words associate to their work experience.If you visit a Montessouri school, you will see the children arranged into work stations rather than sitting at desks listening to lectures. But it only goes so far.
This introduction to carpentry (and elementary schooling) led them right away to the failure waiting when continuing down such a dead end. Excess material would lie around and cause pile ups. Math was needed to straighten out those messes. Bad measurements led to things that didn't fit right and had to be redone.
The needed to make lists of material to buy and to know the meanings of the words on the lists to communicate with the lumber yard. That is why apprentices are not allowed to run the business.
If math was subordinate to our experience with tools (which were mathematically designed), then the family garages in blue collar neighborhoods would be where all the inventions would be eminating from..They aren't. A few neat motor cycles have been built in those settings (I used to tear apart and rebuild one of these)
http://www.angelfire.com/sc/BOBBYNVE...E/history.html
but when it comes to electronics you run into a wall. From garages come only a few experiments. Fermilab does one billion repititions of an experiment and doesn't claim discovery until they get mathematically predicted results in 99.999% of those one billion runs.
Math today has too many of its roots based on valid experiment whereas yesterday's math did not.The screen in front of you would not be there without relativity and quantum physics and the math associated with them. The world of objectivism has given way to the world of subjectivism.
Go rent "October Sky". Without math those rockets were failing. The more the math got involved, the more accurate the flights resulted.