The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.
Mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics.
Mathematics brought rigor to Economics. Unfortunately, it also brought mortis.
I wasn't actually very naturally good at economics. My brain doesn't work very well, in terms of mathematics.
In every department of physical science there is only so much science, properly so-called, as there is mathematics.
Mathematics consists in proving the most obvious thing in the least obvious way.
I think the term "Kantian constructivism" as an oxymoron. Kant was a constructivist about mathematics, but not about ethics.
Mathematics is the most beautiful and most powerful creation of the human spirit.
Anybody is qualified, according to everybody, for giving opinions upon poetry. It is not so in chemistry and mathematics. Nor is it so, I believe, in whist and the polka. But then these are more serious things.
The training one receives when one becomes a technician, like a data scientist - we get trained in mathematics or computer science or statistics - is entirely separated from a discussion of ethics.
Perhaps the most surprising thing about mathematics is that it is so surprising.
If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics.
That sometimes clear ... and sometimes vague stuff ... which is ... mathematics.
Anyone who cannot cope with mathematics is not fully human. At best, he is a tolerable subhuman who has learned to wear his shoes, bathe, and not make messes in the house.
I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium and symptoms of schizophrenia.
Mathematics is nothing more, nothing less, than the exact part of our thinking.
Programming is much much harder than doing mathematics.
I suppose you are two fathoms deep in mathematics, and if you are, then God help you. For so am I, only with this difference: I stick fast in the mud at the bottom, and there I shall remain.
If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics.
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
My specific goal is to revolutionize the future of the species. Mathematics is just another way of predicting the future.
Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend.
I like to say jiu-jitsu is like mathematics. It has to be exact otherwise you don't have it.
I love mathematics not only because it is applicable to technology but also because it is beautiful.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
I am too good for philosophy and not good enough for physics. Mathematics is in between.
I had a liberal arts education at Amherst College where I had two majors, mathematics and philosophy.
I never thought I could be an actor, as I was always a studious geek and was always interested in mathematics.
A good mathematical joke is better, and better mathematics, than a dozen mediocre papers.
It becomes the urgent duty of mathematicians, therefore, to meditate about the essence of mathematics, its motivations and goals and the ideas that must bind divergent interests together.
Reading music is something that's inherently hateful to me. It makes music like mathematics.
Mathematics ... is indispensable as an intellectual technique. In many subjects, to think at all is to think like a mathematician.
I finally reached the conclusion that mathematics was the study I was best fitted to follow, though I did not clearly see in what way I should turn the subject to account.
The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.
I must study politics and war that my sons may have liberty to study mathematics and philosophy.
These days people are much more aware that mathematics is a communal endeavor: even the most brilliant idea gets meaning only from its relation to the whole.
There is a close analogy between organic chemistry in its relation to biochemistry and pure mathematics in its relation to physics.
The real satisfaction from mathematics is in learning from others and sharing with others.
Formality Thus the absence of all mention of particular things or properties in logic or pure mathematics is a necessary result of the fact that this study is, as we say, "purely formal".
In mathematics the complicated things are reduced to simple things. So it is in painting.
Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may be more than half done.
Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
Critics of 'economic sciences' sometimes refer to the development of a 'pseudoscience' of economics, arguing that it uses the trappings of science, like dense mathematics, but only for show.
The use of mathematics has brought rigor to economics. Unfortunately, it has also brought mortis.
Only mathematics and mathematical logic can say as little as the physicist means to say.
There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics.
When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system.
No price is too high to pay to try to make the financial system go on a little bit longer. But ultimately it can't be saved, because of the mathematics that are involved.
If you refuse to study anatomy, the arts of drawing and perspective, the mathematics of aesthetics, and the science of color, let me tell you that this is more a sign of laziness than of genius.
Why do children dread mathematics? Because of the wrong approach. Because it is looked at as a subject.
What I have said may serve to recommend mathematics for acquiring a vigorous constitution of mind; for which purpose they are as useful as exercise is for procuring health and strength to the body.
Axiomatization is what one does last, it's rubbish. It's the hygiene of mathematics, axiomatization.
My basic mathematics is rather weak, so when some of the theories are broken into equations, I get rather lost.
The science of operations, as derived from mathematics more especially, is a science of itself, and has its own abstract truth and value.
But I simply can't stand a view limited to this earth, I feel life is so small unless it has windows into other worlds...I like mathematics largely because it is not human.
All science requires mathematics.
[Editors' summary of Bacon's idea, not Bacon's wording.]
My father said he did have the mathematics of mind physics, or the physics of consciousness.
The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.
My belief is that nothing that can be expressed by mathematics cannot be expressed by careful use of literary words.
It is given to us to live for the most part under the guidance of mathematics ... It is impossible to distinguish from other living creatures anyone who does not understand how to quantify.
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