"The art of doing mathematics consists in finding that special case which contains all the germs of generality"
- David Hilbert
About this Quote
In this quote, mathematician David Hilbert is highlighting the essence of mathematics as a discipline. He recommends that the true skill in mathematics depends on identifying a particular case that includes all the basic principles and ideas that can be applied to a wider series of issues. In other words, the art of doing mathematics is not just about fixing a single problem, however rather about discovering the underlying patterns and concepts that can be used to fix a plethora of issues. This needs a deep understanding of the fundamental principles and the ability to believe abstractly and creatively. Hilbert's quote emphasizes the value of discovering the universal in the particular, and how this is the crucial to opening the power of mathematics.