For us there is no ignorabimus, and in my opinion none whatever in natural science. In opposition to the foolish ignorabimus our slogan shall be: "We must know - we will know!"

Is mathematics doomed to suffer the same fate as other sciences that have split into separate branches?... Mathematics is, in my opinion, an indivisible whole... May the new century bring with it ingenious champions and many zealous and enthusiastic disciples.

The infinite! No other question has ever moved so profoundly the spirit of man.

One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it

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.

The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.

We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel.