Quote

Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.

David Hilbert

Change background

T
T
T

Change font

TAGS & TOPICS

David Hilbert
Age: 81 †
Born: 1862
Born: January 23
Died: 1943
Died: February 14
Mathematician
Philosopher
Physicist
University Teacher
Königsberg i. Pr.
Small
Fundamental
Simple
Fundamentals
Like
Requires
Number
Development
Axioms
Numbers
Arithmetic
Principles
Geometry
Called
Logical

More quotes by David Hilbert

Image
The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
David Hilbert
Image
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
David Hilbert
Image
The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.
David Hilbert
Image
Sometimes it happens that a man's circle of horizon becomes smaller and smaller, and as the radius approaches zero it concentrates on one point. And then that becomes his point of view.
David Hilbert
Image
The infinite! No other question has ever moved so profoundly the spirit of man.
David Hilbert
Image
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
David Hilbert
Image
Before beginning [to try to prove Fermat's Last Theorem] I should have to put in three years of intensive study, and I haven't that much time to squander on a probable failure.
David Hilbert
Image
Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.
David Hilbert
Image
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.
David Hilbert
Image
No one shall expel us from the paradise which Cantor has created for us. Expressing the importance of Cantor's set theory in the development of mathematics.
David Hilbert
Image
Geometry is the most complete science.
David Hilbert
Image
One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs
David Hilbert
Image
Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.
David Hilbert
Image
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
David Hilbert
Image
[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.
David Hilbert
Image
I didn't work especially hard at mathematics at school, because I knew that's what I'd be doing later.
David Hilbert
Image
No other question has ever moved so profoundly the spirit of man no other idea has so fruitfully stimulated his intellect yet no other concept stands in greater need of clarification than that of the infinite.
David Hilbert
Image
Galileo was no idiot. Only an idiot could believe that science requires martyrdom - that may be necessary in religion, but in time a scientific result will establish itself.
David Hilbert
Image
Some people have got a mental horizon of radius zero and call it their point of view.
David Hilbert
Image
Mathematics knows no races or geographic boundaries for mathematics, the cultural world is one country.
David Hilbert