Branches Quote by David Hilbert

Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for the understanding of…

— William Thurston

A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first…

— David Hilbert

If theory is the role of the architect, then such beautiful proofs are the role of the craftsman. Of course, as with the great…

— Michael Atiyah

An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that you can…

— David Hilbert

Psychology should be the chief basic science upon which the practices of education depend. It should have supplied education with the information it needs…

— J. P. Guilford

“This was true of any and every aspect of knowledge; you figured out how to learn it, and you exposed yourself to people who…

— Russell L. Ackoff

The legislator should keep two things constantly before his eyes: 1. The pure theory developed to its minutest details; 2. The particular condition of…

— Wilhelm von Humboldt

“One can set up a completely self-contained mathematical theory, which proceeds from the elementary laws that are valid for individual points to processes in…

— Bernard Riemann

As for everything else, so for a mathematical theory: beauty can be perceived but not explained.

— Arthur Cayley

Philosophical knowledge is the knowledge gained by reason from concepts ; mathematical knowledge is the knowledge gained by reason from the construction of concepts.

— Immanuel Kant

In enabling mechanism to combine together general symbols in successions of unlimited variety and extent, a uniting link is established between the operations of…

— Ada Lovelace

A great man, who was convinced that the truths of political and moral science are capable of the same certainty as those that form…

— Nicolas de Caritat, marquis de Condorcet