Quote by David Hilbert
How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.
Summary
This quote highlights the intrinsic relationship between progress in mathematics and the creation of more efficient tools and methods. It suggests that as mathematicians develop sharper tools and simpler techniques, they not only enhance their understanding of existing theories but also discard complex or convoluted approaches. In essence, the quote emphasizes the iterative nature of mathematical advancement, where the refinement of tools and methods is crucial for further exploration and clarification of previously established concepts.