David Hilbert

The mathematician is a man who can see the beauty and harmony in the logical and abstract structure of the entire world, revealing its hidden order, profound interconnectedness, and underlying simplicity, a true artist and philosopher of thought and reality.

The infinite is the source of all mathematical progress, creativity, understanding, and profound insight into the very nature and fabric of reality, constantly pushing the boundaries of human knowledge, imagination, and intellectual reach, a never-ending journey of discovery.

The goal of mathematics is to create a universal, consistent, and complete system of knowledge that encompasses all phenomena, truths, and logical possibilities, a grand unified theory of thought, existence, and the entire cosmos, a monumental achievement of human intellect.

Mathematics is the most powerful tool for intellectual exploration, advancement, understanding, and the ultimate, unwavering pursuit of objective truth in all its myriad forms and manifestations, a shining beacon of human reason and enlightenment.

The problems of mathematics are not only challenging, but also deeply rewarding, profoundly inspiring, and endlessly fascinating to the curious and inquiring human mind, a boundless source of endless wonder, intellectual delight, and profound satisfaction, a true adventure of the spirit.

The mathematician is a man who can see the truth in both the abstract and the concrete, the logical and the intuitive, the simple and the complex, the finite and the infinite, and the beautiful and the profound, all interwoven into a single, magnificent tapestry of understanding and insight, a true visionary of the universe.

We must know, we will know.

The object of mathematics is the exact description of the relations between arbitrary objects.

The problems are not solved, but they are clearly stated, and that is a great step forward.

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

The infinite is nowhere to be found in reality. It neither exists in nature nor provides a legitimate basis for rational thought.

The art of doing mathematics consists in finding that special case which contains all the germs of the general case.

If mathematics is the queen of the sciences, then number theory is the queen of mathematics.

The further a mathematical theory is developed, the more it becomes clear that the only way to make it more perfect is to make it more beautiful.

Mathematics is a presupposition for all exact knowledge.

Every mathematical problem can be solved.

The true method of discovery is to have no method.

Mathematics is the science of the infinite.

The problems of mathematics are not isolated, but are connected with each other in the most intimate way.

The goal of mathematics is to understand the world.