Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of… — Barry Mazur Copy Share Image
It has been pointed out already that no knowledge of probabilities, less in degree than certainty, helps us to know what conclusions… — John Maynard Keynes Copy Share Image
One cannot understand... the universality of laws of nature, the relationship of things, without an understanding of mathematics. There is no other… — Richard P. Feynman Copy Share Image
Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at… — David Hilbert Copy Share Image
How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools… — David Hilbert Copy Share Image
Universities hire professors the way some men choose wives - they want the ones the others will admire. — Morris Kline Copy Share Image
When the difficulty of a problem lies only in finding out what follows from certain fixed premises, mathematical methods furnish invaluable wings… — Arthur M. Wellington Copy Share Image
The only reason that we like complex numbers is that we don't like real numbers. — Bernd Sturmfels Copy Share Image
The tantalizing and compelling pursuit of mathematical problems offers mental absorption, peace of mind amid endless challenges, repose in activity, battle without… — Morris Kline Copy Share Image
[Before the time of Benjamin Peirce it never occurred to anyone that mathematical research] was one of the things for which a… — Anonymous Copy Share Image
Much of what I make is geometric, and has a kind of almost mathematical logic to the form — Anish Kapoor Copy Share Image
It is rare to find learned men who are clean, do not stink and have a sense of humour. — Baron de Montesquieu Copy Share Image
If theory is the role of the architect, then such beautiful proofs are the role of the craftsman. Of course, as with… — Michael Atiyah Copy Share Image
Why you were born and why you are living depend entirely on what you are getting out of this world and what… — Oscar Hammerstein II Copy Share Image
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it… — Henri Poincare Copy Share Image
The more I study the things of the mind the more mathematical I find them. In them as in mathematics it is… — Hippolyte Taine Copy Share Image
... and it is probably that there is some secret here which remains to be discovered. — Charles Sanders Peirce Copy Share Image
The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the… — G. H. Hardy Copy Share Image
In my experience most mathematicians are intellectually lazy and especially dislike reading experimental papers. He seemed to have very strong biological intuitions… — Francis Crick Copy Share Image
The magic of the mechanisms inside each genetic structure saying exactly where that nerve cell should go - the complexity of these… — Alexander Tsiaras Copy Share Image
Topology is precisely the mathematical discipline that allows the passage from local to global... — Rene Thom Copy Share Image
How happy the lot of the mathematician. He is judged solely by his peers, and the standard is so high that no… — W. H. Auden Copy Share Image
If others would but reflect on mathematical truths as deeply and continuously as I have, they would make my discoveries. — Carl Friedrich Gauss Copy Share Image
Mathematics is of two kinds, Rigorous and Physical. The former is Narrow: the latter Bold and Broad. To have to stop to… — Oliver Heaviside Copy Share Image
The most powerful influence exercised by the Arabs on general natural physics was that directed to the advances of chemistry ; a… — Alexander von Humboldt Copy Share Image