Mathematical Quotes

Absolute, true and mathematical time, of itself, and from its own nature flows equably without relation to anything external.

...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know

The formulation of the problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill.

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.

One cannot really argue with a mathematical theorem.

The best material model of a cat is another, or preferably the same, cat.

Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it.

We never know what we are talking about.

Pure mathematics is on the whole distinctly more useful than applied... For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.

I became more and more convinced that even nature could be understood as a relatively simple mathematical structure.

Mathematics is the science of patterns, and nature exploits just about every pattern that there is.

It took me 1057 pages to describe the hundreds of mathematical equations, algorithms and programming techniques that I invented and used.

Requirements in mathematical language are no use unless they are easier to read than the code.

I use geometric and mathematical ideas to organize material, but those are tools. The purpose of the work is not to expose that at all, but to arrive at some kind of expressiveness.

A theory is just a mathematical model to describe the observations.

I was very much on the mathematical side, where you probably do your best work before you're forty-five. Having passed that significant date, I thought I would do something else.

Mathematical studies may serve for a pleasant entertainment for those hours which young men are apt to throw away upon their vices.

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

Geometry is not true, it is advantageous.

It is a safe rule to apply that, when a mathematical or philosophical author writes with a misty profundity, he is talking nonsense.

As a single atom man is an enigma: as a whole he is a mathematical problem. As an individual he is a free agent, as a species the offspring of necessity.

Life is not so idiotically mathematical that only the big eat the small; it is just as common for a bee to kill a lion or at least to drive it mad.

When I speak of the beauty of a game of chess, then naturally this is subjective. Beauty can be found in a very technical, mathematical game for example. That is the beauty of clarity.

This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.

It's not the mathematical skill that's critical to winning; it's the discipline of being able to stick to the system.

Why are we willing to accept a new mathematical formula we don't understand as the product of a brilliant mind, while rejecting a new art form we don't understand as the product of a deranged mind?

Mathematical Analysis is as extensive as nature herself.

To my mathematical brain, the numbers alone make thinking about aliens perfectly rational.

There is a mathematical formula to why you got famous. It isn’t some magical thing that just started happening.

... and it is probably that there is some secret here which remains to be discovered.

Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.

Projective geometry is all geometry.

In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely!

All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers.

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.

Words are a pretty fuzzy substitute for mathematical equations.

How is error possible in mathematics?

Dull minds are never either intuitive or mathematical.

A good mathematical joke is better, and better mathematics, than a dozen mediocre papers.

There is coming an era for people with a mathematical state of mind

Mathematical Reasoning is not only exact; it has its own criteria of reality.

The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method

Mathemagical mathematics combines the beauty of mathematical structure with the entertainment value of a trick.

A mathematical proof must be perspicuous.

Innumeracy and pseudoscience are often associated, in part because of the ease with which mathematical certainty can be invoked, to bludgeon the innumerate into a dumb acquiescence.

The gut-feel of the 55-year old trader is more important than the mathematical elegance of the 25-year old genius.

The universe can best be pictured as consisting of pure thought, the thought of what for want of a better word we must describe as a mathematical thinker.

Can the existence of a mathematical entity be proved without defining it ?

Raffiniert ist der Herr Gott, aber boshaft ist er nicht. God is subtle, but he is not malicious.

Before one can generalize, formalize, and axiomatize, there must be a mathematical substance.