Mathematical Modeling Quotes



Historically, in the first half of the 20th century, nuclear scientists discovered that probability governed and was necessary for understanding quantum mechanics—the laws of physics governing tiny objects like atoms, electrons, protons and even quarks. To many, this seemed a contradiction in that it was hard to conceive particles following laws and yet behaving randomly at the same time. However, it did not take long before all the scientists adjusted their thinking and learned to live and work with that was then a type of contradiction but is no longer thought so as men and women have learned to think in a new way. This quotation illustrates that the greatest scientists in the world, in a very short period of time, had to change their entire mode of thinking. There were no real holdouts or “conservatives” who wanted to maintain the older values. This would never happen in politics, where change is not accepted very quickly.


This is an amazing quotation. It was not until the last 50 years that biologists have come to realize that mathematics is essential to their understanding of the science, just like chemistry and physics. For years biology was a science that did not require mathematics as a prerequisite for study. With the exception of a few holdouts, biology had come of age—an age predicted by Comte. This has placed more pressure on the high schools which used to counsel students that if they did not like mathematics or take it, they could go into biology. No longer is that reality.