Mathematics and physics are different, yet they are closely connected. The effectiveness of mathematics in physics is unparalleled in any other branch of knowledge. In this essay, we try to explain the reason for this effectiveness based on the view that mathematics is invented. We also question the accuracy of mathematics in describing nature, and argue that mathematics does not provide us with the truth about how nature works, but with models that enable us to make predictions about the outcome of observations and experiments.
Mohammed M. Khalil