A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.
David Hilbert

A pure mathematical series would be one in which each term is derived from the preceding term by a rule.
George Oppen

A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.
Henri Poincare

All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
Roger Bacon

All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.
James C. Maxwell

And for mathematical science, he that doubts their certainty hath need of a dose of hellebore.
Joseph Glanvill

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not.
G. H. Hardy

As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable.
Abraham Robinson

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

Cyberspace. A consensual hallucination experienced daily by billions of legitimate operators, in every nation, by children being taught mathematical concepts.
William Gibson

Eccentric doesn't bother me. 'Eccentric' being a poetic interpretation of a mathematical term meaning something that doesn't follow the lines - that's okay.
Crispin Glover

Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s.
Stephen Cole Kleene

How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.
David Hilbert

I believe sanity and realism can be restored to the teaching of Mathematical Statistics most easily and directly by entrusting such teaching largely to men and women who have had personal experience of research in the Natural Sciences.
Ronald Fisher

I chose to deal with the science of cryptography. Cryptography began in mathematics. Codes were developed, even from Caesar's time, based on number theory and mathematical principles. I decided to use those principles and designed a work that is encoded.
James Sanborn

I did what I could to inflate the rumor I was on my way to stardom. What I was on my way to, by any mathematical standards known to man, was oblivion, by way of obscurity.
Tallulah Bankhead

I had become interested in economics, an interest that was transformed into a lifetime dedication when I met with the mathematical theory of general economic equilibrium.
Gerard Debreu

I hope no man takes what I said about the living and dieing of men for mathematical demonstration.
William Petty

I know this world is ruled by infinite intelligence. Everything that surrounds us- everything that exists - proves that there are infinite laws behind it. There can be no denying this fact. It is mathematical in its precision.
Thomas A. Edison

I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.
Georg Cantor