> We are being robbed of the opportunity to find the solution by being handed the solutions.
I find this argument difficult to understand. As a math student in college with no ambitions (or realistic opportunity or aptitude) to pursue original contributions to the field, everything I learned was by definition already solved. Nevertheless I was able to - required to, in fact - work through each solution in order to develop understanding. And I did in fact learn by this method, as countless other students did before and after me.
So when I hear this argument from mathematicians, all I can hear is that they are frustrated at being out back into the position of being students, where the end result of the hard work of understanding is just the understanding itself without the prize of a new discovery. If they want to find the solution without reading it, they are still very much able to do so, just as their students do every day.
I find this argument difficult to understand. As a math student in college with no ambitions (or realistic opportunity or aptitude) to pursue original contributions to the field, everything I learned was by definition already solved. Nevertheless I was able to - required to, in fact - work through each solution in order to develop understanding. And I did in fact learn by this method, as countless other students did before and after me.
So when I hear this argument from mathematicians, all I can hear is that they are frustrated at being out back into the position of being students, where the end result of the hard work of understanding is just the understanding itself without the prize of a new discovery. If they want to find the solution without reading it, they are still very much able to do so, just as their students do every day.