David Hilbert

The problems of mathematics are not isolated, but are connected with each other and with the whole of science.

The infinite is not a concept which can be grasped by the human mind.

Mathematics is the language of nature.

The problems of mathematics are not arbitrary, but are dictated by the nature of things.

The problems of mathematics are not solved by intuition, but by logic.

The infinite is not a property, but a relation.

The problems of mathematics are not solved by chance, but by design.

The infinite is not a substance, but a form.

Mathematics is the science of order.

The problems of mathematics are not solved by dogma, but by reason.

The problems of mathematics are not solved by faith, but by proof.

The infinite is not a limit, but a possibility.

Mathematics is the science of abstraction.

The problems of mathematics are not solved by authority, but by truth.

The infinite is not a boundary, but an horizon.

Mathematics is the science of precision.

The problems of mathematics are not solved by tradition, but by innovation.

One can measure the importance of a scientific work by the number of earlier publications it makes superfluous to read.

No one shall expel us from the paradise that Cantor has created.

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