The Schroedinger equations are very useful but they do not give a unique solution for a particular historical event. This does not mean that absolutely nothing determines a quantum-mechanical event, it just means that there is something more to the determination than the Schroedinger equations can predict.Clifford, I was thinking more of the Schroedinger equations. What solves them for a particular value for a particular historical event? As I understand it, that is not determined by any known thing.
Agreed.The language of numbers may be a consequence of some natural laws, but the language has been changing and evolving throughout human history, with human mathematicians inventing various styles for treating the seemingly endless deductions from the methods of counting and abstract logic.
Could you think of any technologically useful system of mathematics that has no counting numbers? As far as I can see, counting numbers are an essential foundation. There are many mathematical abstractions that do not involve any counting numbers, but I do not see how any system of measurement could be implemented without them. The process for defining counting numbers is very elementary. The number 2 is defined as 1 + 1. The number 3 is defined as 2 + 1.The embracing nature of the disciplines of mathematics and logic obscure the fact that they contain a wide variety of potentially exclusive, or parallel, ways of understanding the world. For example, it is possible to imagine an advanced alien civilization that does not use number (counting).