The homework problem involved finding the velocity of a bicyclist as he peddled along. The students were given a constant power output from the rider and then they had to find the rider's terminal velocity. They went through a process where they solved some basic equations and then they added in air resistance and solved the more complex equations numerically (which means they wrote a computer program to solve the equation).
One of my students solved their equation and found the terminal velocity and then displayed a graph of their velocity versus time, or how their velocity changes over time:
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My point with this is when a mistake was made we could look at the results and compare them with reality to see if it made sense. In other words we had a check or test to make sure we had done it correctly or whether our theory was correct. In the case of Physics, no matter what the theory is, the science itself has built into it a self correcting mechanism. Whenever a mistake is made something can be done to test it and to correct the mistake. The critical test come in comparing our calculated results to the physical world. All our theories and calculations mean nothing if they cannot predict what is observed in the physical world. It does not matter how "elegant" a solution is, it is of no worth if it does not correctly demonstrate some physical principle.
Philosophy on the other hand does not have this ability, as a matter of fact the vast majority of Philosophy openly denies and/or questions the validity of the very thing that can show whether or not an idea is correct (such as Descartes' method of doubt and Kant's noumenon). This means that Philosophy, as a whole does not have any mechanism to check and to self-correct incorrect theories. With no way to check whether or not something is correct or true it is no wonder that there is so much confusion in Philosophy. If the same were true of physics we would live expecting people to ride backwards on their bikes, rocks to fall up and electricity to flow into wall sockets. We would loose all sense of order and normalcy in the world. If you wonder why Philosophy is so hard to understand, or why it returns ideas that are inconsitent with expereince, it is because it has divorced itself from the very thing that would give validity to its ideas.
It is like quitting your job and then wondering why you are poor.
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