Quotes about Mathematical

The laws of nature are but the mathematical thoughts of God. Votes: 4

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts. Votes: 4

Mathematical reasoning may be regarded... Votes: 3

Mathematical Analysis is as extensive as nature herself. Votes: 3

God forbid that Truth should be confined to Mathematical Demonstration! Votes: 3

Mathematical discoveries, small or great are never born of spontaneous generation. Votes: 3

Mathematical Reasoning is not only exact; it has its own criteria of reality Votes: 3

Mathematical Analysis is... the true rational basis of the whole system of our positive knowledge. Votes: 3

Mathematical physics is in the first place physics and it could not exist without experimental investigations. Votes: 3

Mathematical Knowledge adds a manly Vigour to the Mind, frees it from Prejudice, Credulity, and Superstition. Votes: 3

Mathematical proofs, like diamonds, are hard and clear, and will be touched with nothing but strict reasoning. Votes: 3

Mathematical discoveries, like springtime violets in the woods, have their season which no man can hasten or retard. Votes: 3

Mathematical discoveries, like springtime violets in the woods, have their season which no human can hasten or retard. Votes: 3

Perspective is an Art Mathematical which demonstrates the manner and properties of all radiations direct, broken and reflected. Votes: 3

Mathematical high culture collides with pop culture and all hell breaks loose! Harris takes us on a wild ride--never a dull moment! Votes: 3

Mathematical studies may serve for a pleasant entertainment for those hours which young men are apt to throw away upon their vices. Votes: 3

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. Votes: 3

Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of their species. Votes: 3

Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious. Votes: 3

The mathematician's best work is art, a high perfect art, as daring as the most secret dreams of imagination, clear and limpid. Mathematical genius and artistic genius touch one another. Votes: 3

College is the grinding machine of the Mathematical Establishment, a conveyor belt that takes individuals from one cookie cutter to another so that the product comes within tight control limits out of the assembly line. Votes: 3

The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and would remain unaffected were it to vanish from being. Mathematical propositions, if true, are eternal verities. Votes: 3

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. Votes: 3

There can never be surprises in logic. Votes: 2

Perfect numbers like perfect men are very rare. Votes: 2

One cannot really argue with a mathematical theorem. Votes: 2

The search for truth is more precious than its possession. Votes: 2

A mathematician is a device for turning coffee into theorems. Votes: 2

Pure mathematics is, in its way, the poetry of logical ideas. Votes: 2

The mathematician has reached the highest rung on the ladder of human thought. Votes: 2

Spoon feeding in the long run teaches us nothing but the shape of the spoon. Votes: 2

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country. Votes: 2

Music is the pleasure the human mind experiences from counting without being aware that it is counting. Votes: 2

It is clear that the chief end of mathematical study must be to make the students think. Votes: 2

Since the mathematicians have invaded the theory of relativity I do not understand it myself any more. Votes: 2

The definition of a good mathematical problem is the mathematics it generates rather than the problem itself. Votes: 2

The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation. Votes: 2

The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful. Votes: 2

Cyberspace. A consensual hallucination experienced daily by billions of legitimate operators, in every nation, by children being taught mathematical concepts. Votes: 2

Man is equally incapable of seeing the nothingness from which he emerges and the infinity in which he is engulfed. Votes: 2

It is not once nor twice but times without number that the same ideas make their appearance in the world. Votes: 2

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. Votes: 2

In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely! Votes: 2

The computer can't tell you the emotional story. It can give you the exact mathematical design, but what's missing is the eyebrows. Votes: 2

I never did very well in math - I could never seem to persuade the teacher that I hadn't meant my answers literally. Votes: 2

It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth. Votes: 2

Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there. Votes: 2

I would finally renounce my delusional hypotheses and revert to thinking of myself as a human of more conventional circumstances and return to mathematical research. Votes: 2

To my mathematical brain, the numbers alone make thinking about aliens perfectly rational. The real challenge is to work out what aliens might actually be like. Votes: 2

We have failed to protect science against speculative extensions of nature, continuing to assign physical and mathematical properties to hypothetical entities beyond what is observable in nature. Votes: 2

As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. Votes: 2

Aristotle maintained that women have fewer teeth than men; although he was twice married, it never occurred to him to verify this statement by examining his wives' mouths. Votes: 2

Physics is mathematical not because we know so much about the physical world, but because we know so little; it is only its mathematical properties that we can discover. Votes: 2

A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator, the smaller the fraction. Votes: 2

Alan Turing gave us a mathematical model of digital computing that has completely withstood the test of time. He gave us a very, very clear description that was truly prophetic. Votes: 2

Among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other, and continues to fascinate me, is the structure hidden in mathematical things. Votes: 2

No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful. Votes: 2

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. Votes: 2

The traditional mathematician recognizes and appreciates mathematical elegance when he sees it. I propose to go one step further, and to consider elegance an essential ingredient of mathematics: if it is clumsy, it is not mathematics. Votes: 2

You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length. Votes: 2

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. Votes: 2

Things like the financial markets - a proper grounding in mathematics could help the common man. I believe that if people are more familiar with mathematical concepts... it can help deal with modern life, which is increasingly complex. Votes: 2

I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations. Votes: 2

If God creates a world of particles and waves, dancing in obedience to mathematical and physical laws, who are we to say that he cannot make use of those laws to cover the surface of a small planet with living creatures? Votes: 2

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. Votes: 2

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. Votes: 2

The fundamental laws necessary for the mathematical treatment of a large part of physics and the whole of chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved. Votes: 2

One of the things I've always liked about my husband is he's very good at lots of stuff. He was an English teacher when I met him. He wrote poetry and played the guitar. As time went on, he decided to go into economics, so he's very analytical and mathematical in addition to his artsy side. Votes: 2

I remember from my school days Archimedes jumping into his bath and displacing water and coming up with his famous principle, and of course Isaac Newton being hit on the head with an apple. In other words, this realm of human knowledge - which is mathematical, essentially - can have a playful visual element to it. Votes: 2

Fourier is a mathematical poem. Votes: 0

A mathematical equation stands forever Votes: 0

It's like a mathematical law, Grace. Votes: 0

A mathematical proof must be perspicuous. Votes: 0

Nature is written in mathematical language. Votes: 0

Statistics: the mathematical theory of ignorance. Votes: 0

Homeopathy seemed . . . both mathematical and poetic. Votes: 0

Has the mathematical abilities of a Clydesdale. Votes: 0

A physical law must possess mathematical beauty. Votes: 0

Our external physical reality is a mathematical structure. Votes: 0

Dull minds are never either intuitive or mathematical. Votes: 0

The mathematical expectation of the speculator is zero. Votes: 0

Words are a pretty fuzzy substitute for mathematical equations. Votes: 0

Neither concepts nor mathematical formulae can explain the infinite. Votes: 0

Music is a science, in many ways it's mathematical. Votes: 0

I've always had a more spatial mind, mathematical, than literal. Votes: 0

There is no perfect mathematical formula for pricing a business. Votes: 0

Before you generalize, formalize, and axiomatize there must be mathematical substance. Votes: 0

God does not care about our mathematical difficulties. He integrates empirically. Votes: 0

The moving power of mathematical invention is not reasoning but imagination. Votes: 0

Music assists him in the use of harmonic and mathematical proportion. Votes: 0

Ex-Professor Moriarty of mathematical celebrity... is the Napoleon of crime, Watson. Votes: 0

Music is a secret and unconscious mathematical problem of the soul. Votes: 0

A theory is just a mathematical model to describe the observations. Votes: 0

I knew that he was as reliable as a mathematical formula. Votes: 0

As a purely mathematical fact, people who sleep less live more. Votes: 0

Beyond the natural numbers, addition, multiplication, and mathematical induction are intuitively clear. Votes: 0

Economists who speak the English tongue are strangely intimidated by mathematical symbols. Votes: 0

Can the existence of a mathematical entity be proved without defining it ? Votes: 0

The Mandelbrot set is the most complex mathematical object known to mankind. Votes: 0

However gemlike mathematical truths may be, research is but a human endeavor. Votes: 0

There is coming an era for people with a mathematical state of mind Votes: 0

A mathematical formula should never be "owned" by anybody! Mathematics belong to God. Votes: 0

To my mathematical brain, the numbers alone make thinking about aliens perfectly rational, Votes: 0

It seems that jazz is more cerebral and more mathematical in a sense. Votes: 0

Bull markets and Bear markets can obscure mathematical laws, they cannot repeal them. Votes: 0

Investment success cannot be captured in a mathematical equation or a computer program. Votes: 0

Ignorance and superstition ever bear a close and mathematical relation to each other. Votes: 0

There has to be a mathematical explanation for how bad that tie is. Votes: 0

The profound study of nature is the most fertile source of mathematical discovery. Votes: 0

Do mathematics have a relation to reality or are they only a mathematical symbol? Votes: 0

Einstein's theory of General Relativity has a mathematical structure very similar to Yang-Mills theory. Votes: 0

Most people don't have time to master the very mathematical details of theoretical physics. Votes: 0

Poverty is a mathematical proof of the fact that mankind is a big failure! Votes: 0

I actually wanted to be an astronaut, but I don't have a mathematical brain. Votes: 0

A good mathematical joke is better, and better mathematics, than a dozen mediocre papers. Votes: 0

Topology is precisely the mathematical discipline that allows the passage from local to global... Votes: 0

So mathematical truth prefers simple words since the language of truth is itself simple. Votes: 0

[Referring to Fourier's mathematical theory of the conduction of heat] ... Fourier's great mathematical poem ... Votes: 0

A mathematical point is the most indivisble and unique thing which art can present. Votes: 0

God has the Big Book, the beautiful proofs of mathematical theorems are listed here. Votes: 0

... scientific research is compounded of ... empirical procedures, general speculative ideas, and mathematical or abstract reasoning. Votes: 0

Love was even more mathematical than poetry. It was the pure mathematics of the spirit. Votes: 0

Beyond basic mathematical aptitude, the difference between good programmers and great programmers is verbal ability. Votes: 0

Only mathematics and mathematical logic can say as little as the physicist means to say. Votes: 0

As for explaining mathematical phenomena it opens the question: explaining to whom? humans?, other computers? Votes: 0

all the standard equations of mathematical physics can be separated and solved in Kerr geometry. Votes: 0

Never had any mathematical conversations with anybody, because there was nobody else in my field. Votes: 0

Mathemagical mathematics combines the beauty of mathematical structure with the entertainment value of a trick. Votes: 0

The next grand extensions of mathematical physics will, in all likelihood, be furnished by quaternions. Votes: 0

The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers. Votes: 0

Besides the mathematical arts there is no infallible knowledge, except that it be borrowed from them. Votes: 0

All the mathematical sciences are founded on the relations between physical laws and laws of numbers. Votes: 0

Too few people recognize that the high technology so celebrated today is essentially a mathematical technology. Votes: 0

Instead of the animistic, mechanistic, or the mathematical universe, we see the genetic, organic, holistic universe. Votes: 0

Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical. Votes: 0

As for everything else, so for a mathematical theory: beauty can be perceived but not explained. Votes: 0

As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all. Votes: 0

The purpose of concept art as a genre is to unbrainwash our mathematical and logical faculties. Votes: 0

And for mathematical science, he that doubts their certainty hath need of a dose of hellebore. Votes: 0

Requirements in mathematical language are no use unless they are easier to read than the code. Votes: 0

Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s. Votes: 0

...while the individual man is an insoluble puzzle, in the aggregate he becomes a mathematical certainty. Votes: 0

I had made an empirical discovery and it carried all the weight of a mathematical proof. Votes: 0

Another characteristic of mathematical thought is that it can have no success where it cannot generalize. Votes: 0

Its a mathematical fact that two negatives make a positive so even under adverse circumstances think positively. Votes: 0

Rejecting God's truth b/c of mankind's hypocrisy is like rejecting mathematical truth b/c mankind's incompetence. Votes: 0

The mathematical forms of order which the mind of a physicist manipulates coincides "miraculously" with experimental measurements. Votes: 0

A book on the new physics, if not purely descriptive of experimental work, must essentially be mathematical. Votes: 0

In terms of merit, sports has mathematical statistics. That's how you know who the best player is. Votes: 0

All the effects of Nature are only the mathematical consequences of a small number of immutable laws. Votes: 0

I do not know an instance of a major mathematical advance initiated by a man past fifty Votes: 0

No human investigation can claim to be scientific if it doesn't pass the test of mathematical proof. Votes: 0

The peculiarity of the evidence of mathematical truths is that all the argument is on one side. Votes: 0

A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales. Votes: 0

It seems to me that all the evidence points to Apollonius as the founder of Greek mathematical astronomy. Votes: 0

It is indeed a surprising and fortunate fact that nature can be expressed by relatively low-order mathematical functions. Votes: 0

Human beings, from a mathematical perspective, are fairly limited. Two and three dimensions, maybe five, and we're OK. Votes: 0

The world looks like a multiplication-table, or a mathematical equation, which, turn it how you will, balances itself. Votes: 0

Much of what I make is geometric, and has a kind of almost mathematical logic to the form Votes: 0

Much of what I make is geometric, and has a kind of almost mathematical logic to the form. Votes: 0

I became more and more convinced that even nature could be understood as a relatively simple mathematical structure. Votes: 0

The mathematical sciences wield their particular language made of digits and signs, no less subtle than any other. Votes: 0

The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic. Votes: 0

At the earliest drawings of the fractal curve, few clues to the underlying mathematical structure will be seen. Votes: 0

I hope no man takes what I said about the living and dieing of men for mathematical demonstration. Votes: 0

The mathematical giant [Gauss], who from his lofty heights embraces in one view the stars and the abysses ... Votes: 0

If two people loved, they slept together; it was a mathematical formula, tested and proved by human experience. Votes: 0

Every new body of discovery is mathematical in form, because there is no other guidance we can have. Votes: 0

We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel. Votes: 0

The gut-feel of the 55-year old trader is more important than the mathematical elegance of the 25-year old genius. Votes: 0

I am allowed to use plain English because everybody knows that I could use mathematical logic if I chose. Votes: 0

Because of the collapsing economy of America, it is nearly a mathematical certainty that this ship will soon flounder. Votes: 0

Absolute, true and mathematical time, of itself, and from its own nature flows equably without relation to anything external. Votes: 0

The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method Votes: 0

A spreadsheet for an innovative idea reports the mathematical relationship between made up numbers. You can't cash a spreadsheet. Votes: 0

Writing a novel is like trying to solve a very long mathematical equation. Changing anything can change everything else. Votes: 0

It is clear that economics, if it is to be a science at all, must be a mathematical science. Votes: 0

Fraulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began. Votes: 0

In a mathematical proposition, for example, the objectivity is given, but therefore its truth is also an indifferent truth. Votes: 0

Although I am not stupid, the mathematical side of my brain is like dumb notes upon a damaged piano. Votes: 0

This ambiguity is another example of a growing problem with mathematical notation: There aren't enough squiggles to go around. Votes: 0

The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree. Votes: 0

All results of the profoundest mathematical investigation must ultimately be expressible in the simple form of properties of the integers. Votes: 0

The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke. Votes: 0

[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity. Votes: 0

Design and technology should be the subject where mathematical brainboxes and science whizzkids turn their bright ideas into useful products. Votes: 0

We need science. We need empirical evidence. We can't just use mathematical reasoning to deduce the nature of the world. Votes: 0

It took me 1057 pages to describe the hundreds of mathematical equations, algorithms and programming techniques that I invented and used. Votes: 0

Mechanics is the paradise of the mathematical sciences because by means of it one comes to the fruits of mathematics. Votes: 0

A pure mathematical series would be one in which each term is derived from the preceding term by a rule. Votes: 0

I think part of the appeal of mathematical logic is that the formulas look mysterious - You write backward Es! Votes: 0

A theory with mathematical beauty is more likely to be correct than an ugly one that fits some experimental data. Votes: 0

There is a mathematical formula to why you got famous. It isn’t some magical thing that just started happening. Votes: 0

It's not the mathematical skill that's critical to winning; it's the discipline of being able to stick to the system. Votes: 0

If others would but reflect on mathematical truths as deeply and continuously as I have, they would make my discoveries. Votes: 0

The space you occupy and the authority you exercise may be measured with mathematical exactness by the service you render. Votes: 0

... love and fear increase together with a precision almost mathematical: the greater the love is then the greater the fear is. Votes: 0

Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred. Votes: 0

Some people are born with a brain that has this weird, magical mathematical thing that makes them an amazing jazz musician. Votes: 0

Religious truth is not false for being narrow any more than mathematical or scientific truth is false for the same reason. Votes: 0

My reasons are the same as for any mathematical conjecture: (1) It is a legitimate mathematical possibility, and (2) I do not know. Votes: 0

Besides a mathematical inclination, an exceptionally good mastery of one's native tongue is the most vital asset of a competent programmer. Votes: 0

To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers. Votes: 0

Besides a mathematical inclination, an exceptionally good mastery of one's native tongue is the most vital asset of a competent programmer. Votes: 0

This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does. Votes: 0

Laplace would have found it child's-play to fix a ratio of progression in mathematical science between Descartes, Leibnitz, Newton and himself Votes: 0

Homeric mind is ingenuity, practical intelligence. There is no Rodin-like deep thinking, no mathematical or philosophical speculation. Odysseus thinks with his hands. Votes: 0

A time will however come (as I believe) when physiology will invade and destroy mathematical physics, as the latter has destroyed geometry. Votes: 0

Ultimately, my Ph.D. is in mathematical physics, focusing on quantum field theory and curved space-time, and I worked with Stephen Hawking. Votes: 0

Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity. Votes: 0

A mathematical proof is beautiful, but when you're finished, it's really only about one thing. A story can be about many things. Votes: 0

A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations. Votes: 0

The great appeal of the doctrine that the mind is a blank slate is the simple mathematical fact that zero equals zero. Votes: 0

Cyberspace is the human transition into a mathematical super space where we as a collectivity become optionally a single point of view. Votes: 0

A mathematical idea should not be petrified in a formalised axiomatic setting, but should be considered instead as flowing as a river. Votes: 0

It is a mathematical fact that the casting of this pebble from my hand alters the centre of gravity of the universe. Votes: 0

In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems. Votes: 0

The older I get, the more I believe that at the bottom of most deep mathematical problems there is a combinatorial problem. Votes: 0

Philosophical knowledge is the knowledge gained by reason from concepts ; mathematical knowledge is the knowledge gained by reason from the construction of concepts. Votes: 0

If one has really technically penetrated a subject, things that previously seemed in complete contrast, might be purely mathematical transformations of each other. Votes: 0

The investigation of mathematical truths accustoms the mind to method and correctness in reasoning, and is an employment peculiarly worthy of rational beings. Votes: 0

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. Votes: 0

I received my undergraduate degree in engineering in 1939 and a Master of Science degree in mathematical physics in 1941 at Steven Institute of Technology. Votes: 0

The solution of the difficulties which formerly surrounded the mathematical infinite is probably the greatest achievement of which our age has to boast. Votes: 0

Do you know what the mathematical expression is for longing? ... The negative numbers. The formalization of the feeling that you are missing something. Votes: 0

The word 'definition' has come to have a dangerously reassuring sound, owing no doubt to its frequent occurrence in logical and mathematical writings. Votes: 0

A mathematical formula for happiness:Reality divided by Expectations.There were two ways to be happy:improve your reality or lower your expectations. Votes: 0

The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it. Votes: 0

It is a safe rule to apply that, when a mathematical or philosophical author writes with a misty profundity, he is talking nonsense. Votes: 0

Computer science is to biology what calculus is to physics. It's the natural mathematical technique that best maps the character of the subject. Votes: 0

Numbers instill a feeling for the lie of the land, and furnish grist for the mathematical mill that is the physicist's principal tool. Votes: 0

Chess will always be in the doldrums as a spectator sport while a draw is given equal mathematical value as a decisive result. Votes: 0

The formulation of the problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill. Votes: 0

The formulation of the problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill." Votes: 0

The perfection of mathematical beauty is such...that whatsoever is most beautiful and regular is also found to be most useful and excellent. Votes: 0

A child is born on that day and at that hour when the celestial rays are in mathematical harmony with his individual karma. Votes: 0

Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science. Votes: 0

The rest of Sitka's homicides are so-called crimes of passion, which is a shorthand way of expressing the mathematical product of alcohol and firearms. Votes: 0

The assumption that individuals act objectively in accordance with purely mathematical dictates to maximize their gain or utility cannot be sustained by empirical observation. Votes: 0

One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden. Votes: 0

Nothing has done more to render modern economic theory a sterile and irrelevant exercise in autoeroticism than its practitioners' obsession with mathematical, general-equilibrium models. Votes: 0

Are mathematical ideas invented or discovered? This question has been repeatedly posed by philosophers through the ages and will probably be with us forever. Votes: 0

If there is something very slightly wrong in our definition of the theories, then the full mathematical rigor may convert these errors into ridiculous conclusions. Votes: 0

Pure science is a myth: Both mathematical theoreticians like Albert Einstein and practical crackpots like Henry Ford dealt with different aspects of the same world. Votes: 0

What is revealed through the psychedelic experience, I think, is a higher dimensional perspective on reality. And I use 'higher dimensional' in the mathematical sense. Votes: 0

I was reminded of the Sydney Harris cartoon that said 'adding two numbers that have not been added before does not constitute a mathematical breakthrough'. Votes: 0

The social sciences, I thought, needed the same kind of rigor and the same mathematical underpinnings that had made the 'hard' sciences so brilliantly successful. Votes: 0

Logical positivists have never taken psychology into account in their epistemology, but they affirm that logical beings and mathematical beings are nothing but linguistic structures. Votes: 0

The precision provided (or enforced) by programming languages and their execution can identify lacunas, ambiguities, and other areas of potential confusion in conventional [mathematical] notation. Votes: 0

The name was supposed to be 'Googol,' which is the mathematical term for a 1 followed by 100 zeroes. It was before the Google spellchecker existed. Votes: 0

A bird is an instrument working according to mathematical law, which instrument it is within the capacity of man to reproduce with all its movements. Votes: 0

There can be no question, however, that prolonged commitment to mathematical exercises in economics can be damaging. It leads to the atrophy of judgement and intuition. . . Votes: 0

We have never pushed it far enough to know, but we decided 47 percent was the right percentage. You can quote us on that. It's very mathematical. Votes: 0

[On the Gaussian curve, remarked to Poincaré:] Experimentalists think that it is a mathematical theorem while the mathematicians believe it to be an experimental fact. Votes: 0

Under the federal reserve act, panics are scientifically created. The present panic is the first scientifically created one, worked out as we figured, a mathematical equation. Votes: 0

Before a kid learns how to use a computer that can solve mathematical problems, he or she should know how to do arithmetic without a computer. Votes: 0

The mathematical framework of quantum theory has passed countless successful tests and is now universally accepted as a consistent and accurate description of all atomic phenomena. Votes: 0

...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 Votes: 0

You almost can't avoid having some version of the multiverse in your studies if you push deeply enough in the mathematical descriptions of the physical universe. Votes: 0

I think the rise of quantitative econometrics and a highly mathematical approach to risk management was the obverse of a decline in interest in financial history. Votes: 0

One factor that has remained constant through all the twists and turns of the history of physical science is the decisive importance of the mathematical imagination. Votes: 0

The seeds from Ramanujan's garden have been blowing on the wind and have been sprouting all over the landscape. [On the stimulating effects of Ramanujan's mathematical legacy.] Votes: 0

I tried reading Hilbert. Only his papers published in mathematical periodicals were available at the time. Anybody who has tried those knows they are very hard reading. Votes: 0

Criticized for using formal mathematical manipulations, without understanding how they worked: Should I refuse a good dinner simply because I do not understand the process of digestion? Votes: 0

In the judgment of the most competent living mathematicians, Fraulein Noether was the most significant mathematical genius thus far produced since the higher education of women began. Votes: 0

The essential fact is that all the pictures which science now draws of nature, and which alone seem capable of according with observational facts, are mathematical pictures. Votes: 0

I am well aware of the disagreeable effect produced on the majority of humanity, by whatever relates, even at the slightest degree to calculations or mathematical reasonings. Votes: 0

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. Votes: 0

The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects. Votes: 0

I also ask you my friends not to condemn me entirely to the mill of mathematical calculations, and allow me time for philosophical speculations, my only pleasures. Votes: 0

Data-driven statistics has the danger of isolating statistics from the rest of the scientific and mathematical communities by not allowing valuable cross-pollination of ideas from other fields. Votes: 0

[Lord Brougham's writings on the bee's cell contain] as striking examples of bad reasoning as are often to be met with in writings related to mathematical subjects. Votes: 0

Life has puffed and blown itself into a summer day, and clouds and spring billow over the heavens as if calendars were a listing of mathematical errors. Votes: 0

When the difficulty of a problem lies only in finding out what follows from certain fixed premises, mathematical methods furnish invaluable wings for flying over intermediate obstructions. Votes: 0

Men cannot be treated as units in operations of political arithmetic because they behave like the symbols for zero and the infinite , which dislocate all mathematical operations. Votes: 0

It is utterly implausible that a mathematical formula should make the future known to us, and those who think it can would once have believed in witchcraft. Votes: 0

In teaching, I wanted to offer a general pharmacology course based on chemical principles, biochemical classification and mathematical modelling. In the event I achieved neither of my ambitions. Votes: 0

The magic of the mechanisms inside each genetic structure saying exactly where that nerve cell should go - the complexity of these mathematical models is beyond human comprehension. Votes: 0

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. Votes: 0

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. Votes: 0

His leap was exact, mathematical. The initial arc - head tucked between taut arms that spread out gradually like wings - was as graceful as a swan dive. Votes: 0

The shining star in the world is Shanghai. That's what CEOs from big companies say - 'if I want mathematical analytical work done, it's done in China.' Votes: 0

Strange! I don't understand how it is that we can write mathematical expressions and calculate what the thing is going to do without being able to picture it. Votes: 0

The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. Votes: 0

The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics. Votes: 0

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. Votes: 0

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 Votes: 0

Thus not only the mental and the material, but the theoretical and the practical in the mathematical world, are brought into more intimate and effective connection with each other. Votes: 0

Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time. Votes: 0

Sometimes a line of mathematical research extending through decades can be thought of as one long conversation in which many mathematicians take part. This is fortunately true at present. Votes: 0

Most programming languages are decidedly inferior to mathematical notation and are little used as tools of thought in ways that would be considered significant by, say, an applied mathematician. Votes: 0

The mathematical fraternity is a little like a self-perpetuating priesthood. The mathematicians of today teach the mathematicians of tomorrow and, in effect, decide whom to admit to the priesthood. Votes: 0

In fact a few simple mathematical calculations reveal that if reference librarians were paid at market rates for all the roles they play, they would have salaries well over $200,000. Votes: 0

[P]ure 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. Votes: 0

Conventional wisdom nor scientific, mathematical prove of randomness in life could do nothing to deter human's curiosity for the unknown, however small the chance of a positive outcome maybe. Votes: 0

I have the vagary of taking a lively interest in mathematical subjects only where I may anticipate ingenious association of ideas and results recommending themselves by elegance or generality. Votes: 0

An uniformity of weights and measures, arranged upon mathematical principles, would be a benefit to the whole commercial world, if it were wise enough to adopt such an expedient. Votes: 0

As a graduate student, I wrote a long paper connecting the dots between mathematical models of learning and language development in children. It was published in a major journal. Votes: 0

But in spite of the obvious effectiveness of mathematics in physics, I have never heard of a good a prioriargument that the world must be organised to mathematical principles. Votes: 0

The fact that you are even here, alive, on this planet is a mathematical miracle, and you should not spend the time that you have being busy being miserable. Votes: 0

Perspective is a most subtle discovery in mathematical studies, for by means of lines it causes to appear distant that which is near, and large that which is small. Votes: 0

The mind is complicated and you can't trace the roots of its processes, but there is something about mathematical and algorithmic patterns that I like to recognize in things. Votes: 0

Elegance; it lacks the intellect -he is not a dancer who dances to the beat of love - on the other hand, the heart, can not solve mathematical problems. Votes: 0

He that gives a portion of his time and talent to the investigation of mathematical truth, will come to all other questions with a decided advantage over his opponents. Votes: 0

The Christian's God does not consist merely of a God who is the author of mathematical truths and the order of elements... But a God of love and consolation. Votes: 0

Each part of our genome is unique. We would not be alive if there was not a single mathematical solution for our chromosomes. We would just be scrambled goo. Votes: 0

Gauss replied, when asked how soon he expected to reach certain mathematical conclusions, that he had them long ago, all he was worrying about was how to reach them! Votes: 0

For many years I was the youngest among my mathematical friends. It makes me melancholy to realize that I now have become the oldest in most groups of scientists. Votes: 0

…Our sunsets have been reduced to wavelengths and frequencies. The complexities of the universe have been shredded into mathematical equations. Even our self-worth as human beings has been destroyed. Votes: 0

Physics was the first of the natural sciences to become fully modern and highly mathematical.Chemistry followed in the wake of physics, but biology, the retarded child, lagged far behind. Votes: 0

Mark all mathematical heads which be wholly and only bent on these sciences, how solitary they be themselves, how unfit to live with others, how unapt to serve the world. Votes: 0

Though women are no longer barred from university laboratories and scientific societies, the idea that they are innately less suited to mathematical science is deeply ingrained in our cultural genes. Votes: 0

Chaos has come to be associated with the study of anything complex, but, in fact, the mathematical techniques are directly applicable only to simple systems that appear to be complex. Votes: 0

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. Votes: 0

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. Votes: 0

The core of science is not a mathematical modeling--it is intellectual honesty. It is a willingness to have our certainties about the world constrained by good evidence and good argument. Votes: 0

It is a mathematical fact that if a line be not perfectly directed towards a point, it will actually go further away from it as it comes nearer to it. Votes: 0

Then suddenly, he was struck by a powerful but simple little truth, and it was this: that English grammar is governed by rules that are almost mathematical in their strictness! Votes: 0

The mathematical life of a mathematician is short. Work rarely improves after the age of twenty-five or thirty. If little has been accomplished by then, little will ever be accomplished. Votes: 0

We're looking at a quandary here where Bernie's [Sanders] the winner on a moral and even a political basis. He's made history, and she's the winner on the mathematical basis. Votes: 0

In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects with reproducible properties is called mathematics. Votes: 0

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. Votes: 0

One cannot escape the feeling that these mathematical formulas have an independent existence and an intelligence of their own, that they are wiser than we are, wiser even than their discoverers... Votes: 0

The mathematical difficulties of the theory of rotation arise chiefly from the want of geometrical illustrations and sensible images, by which we might fix the results of analysis in our minds. Votes: 0

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. Votes: 0

One can prove or refute anything at all with words. Soon people will perfect language technology to such an extent that they'll beproving with mathematical precision that twice two is seven. Votes: 0

I realize 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. Votes: 0

The universal medicine for the Soul is the Supreme Reason and Absolute Justice; for the mind, mathematical and practical Truth; for the body, the Quintessence, a combination of light and gold. Votes: 0

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. Votes: 0

A display connected to a digital computer gives us a chance to gain familiarity with concepts not realizable in the physical world. It is a looking glass into a mathematical wonderland. Votes: 0

Theoretical physicists accept the need for mathematical beauty as an act of faith... For example, the main reason why the theory of relativity is so universally accepted is its mathematical beauty. Votes: 0

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. Votes: 0

Like works of literature, mathematical ideas help expand our circle of empathy, liberating us from the tyranny of a single, parochial point of view. Numbers, properly considered, make us better people. Votes: 0

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient. Votes: 0

Vacuum stands and remains a mathematical space. A cube placed in a vacuum would not displace anything, as it would displace air or water in a space already containing those fluids. Votes: 0

It is a common observation that a science first begins to be exact when it is quantitatively treated. What are called the exact sciences are no others than the mathematical ones. Votes: 0

... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the proof is long) that "4" means the same as "2+2". Thus mathematical knowledge ceases to be mysterious. Votes: 0

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. Votes: 0

A modern mathematical proof is not very different from a modern machine, or a modern test setup: the simple fundamental principles are hidden and almost invisible under a mass of technical details. Votes: 0

Le Verrier-without leaving his study, without even looking at the sky-had found the unknown planet [Neptune] solely by mathematical calculation, and, as it were, touched it with the tip of his pen! Votes: 0

There is no more common error than to assume that, because prolonged and accurate mathematical calculations have been made, the application of the result to some fact of nature is absolutely certain. Votes: 0

I think visual literacy and media literacy is not without value, but I think plain old-fashioned text literacy and mathematical literacy are much more powerful and flexible ways to organize your mind. Votes: 0

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." Votes: 0

If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper. Votes: 0

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. Votes: 0

A geometrical theory in physical interpretation can never be validated with mathematical certainty ... ; like any other theory of empirical science, it can acquire only a more or less high degree of confirmation. Votes: 0

If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper. Votes: 0

We will never fully explain the world by appealing to something outside it that must simply be accepted on faith, be it an unexplained God or an unexplained set of mathematical laws. Votes: 0

Democracy is not a mathematical deduction proved once and for all time. Democracy is a just faith fervently held, commitment to be tested again and again in the fiery furnace of history. Votes: 0

We often say that the earth is a sphere, but to be precise, the term sphere refers only to the surface. The correct mathematical term for the solid earth is a ball. Votes: 0

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way. Votes: 0

The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them. Votes: 0

The harmony of the world is made manifest in Form and Number, and the heart and soul and all the poetry of Natural Philosophy are embodied in the concept of mathematical beauty. Votes: 0

A sphere is made up of not one, but an infinite number of circles; women have diverse gifts, and to say that women's sphere is the family circle is a mathematical absurdity. Votes: 0

. . . we have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that such a notion could ever have existed. Votes: 0

The time was not yet ripe for the growth of mathematical science among us, and any development that might have taken place in that direction was rudely stopped by the civil war. Votes: 0

I know this world is ruled by Infinite Intelligence. It required Infinite Intelligence to create it and it requires Infinite Intelligence to keep it on its course ... It is mathematical in its precision. Votes: 0

Maybe because I can't even put together an IKEA desk, I've never been tempted to think of my own poems as built objects - but I do sometimes imagine them as mathematical constructs. Votes: 0

Page after page of professional economic journals are filled with mathematical formulas leading the reader from sets of more or less plausible but entirely arbitrary assumptions to precisely stated but irrelevant theoretical conclusions. Votes: 0

I don't believe you can reduce the world to a mathematical formula. I start with the world, assume it's complicated, and ask where can I get help from a whole range of disciplines. Votes: 0

To talk about communication theory without communicating its real mathematical content would be like endlessly telling a man about a wonderful composer, yet never letting him hear an example of the composer's music. Votes: 0

The highly complex, almost mathematical, nature of music creates for it an ironclad protection against the microbes of dilletantism, which penetrate much more easily into the fields of painting, literature, and the theater. Votes: 0

The properties of executability and universality associated with programming languages can be combined, in a single language, with the well-known properties of mathematical notation which make it such an effective tool of thought. Votes: 0

The tree is made by nature, mathematics by people. And combining the two is creating this beautiful alliance between humanity and nature. That's why my forests are mathematical expansion systems, all of them. Votes: 0

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. Votes: 0

The mathematical phenomenon always develops out of simple arithmetic, so useful in everyday life, out of numbers, those weapons of the gods: the gods are there, behind the wall, at play with numbers. Votes: 0

The mathematical education of the young physicist [Albert Einstein] was not very solid, which I am in a good position to evaluate since he obtained it from me in Zurich some time ago. Votes: 0

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. Votes: 0

Nutrition is not a mathematical equation in which two plus two is four. The food we put in our mouths doesn't control our nutrition-not entirely. What our bodies do with that food does. Votes: 0

He possesses the minimum sensibility necessary for his intelligence not to be merely mathematical, the minimum a human being needs so that it can be proven with a thermometer that he's not dead. Votes: 0

The idea of directing a film is a strange one for me. I feel anti-mathematical, in a way, in that sense. I don't like when things make sense. I prefer if they don't. Votes: 0

There's never been a mathematical equation that says a good experience making a movie equates to a good movie, or a bad experience on a set is going to lead to a bad movie. Votes: 0

I think I have learned to really get out of the mathematical side of myself that looks at story and story structure and go with, "Okay, well, what would people do in real life?" Votes: 0

If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future). Votes: 0

In 1688, Edward Lloyd opened a coffeehouse on London's seafront popular among underwriters, men in powdered wigs with mathematical minds and steely constitutions who offered to compensate owners if their boats were lost at sea. Votes: 0

True technique will know how to maintain the illusion of liberty, choice, and individuality; but these will have been carefully calculated so that they will be integrated into the mathematical reality merely as appearances! Votes: 0

In short, I do not write for mathematicians, nor as a mathematician, but as an economist wishing to convince other economists that their science can only be satisfactorily treated on an explicitly mathematical basis. Votes: 0

Justice to others and to ourselves is the same; that we cannot define our duties by mathematical lines ruled by the square, but must fill with them the great circle traced by the compasses Votes: 0

How can a modern anthropologist embark upon a generalization with any hope of arriving at a satisfactory conclusion? By thinking of the organizational ideas that are present in any society as a mathematical pattern. Votes: 0

I'm obviously attuned to pick up mathematics whenever I can see it. But in Mozart there is a lot of conscious use of mathematical symbolism and numbers in order to try and give messages. Votes: 0

I'm obviously attuned to pick up mathematics whenever I can see it. But in Mozart there is a lot of conscious use of mathematical symbolism and numbers in order to try and give messages." Votes: 0

Thus, the more succinctly a train of thought was expounded, and the more comprehensive the unity of its basic idea, the closer it would approximate to the prerequisites of the mathematical way of thinking. Votes: 0

The goods of fidelity, for example, are plain and concrete to the man who has not strayed, but they are faint, like mathematical abstractions, to the one who is addicted to other men's wives. Votes: 0

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. Votes: 0

All mathematical laws which we find in Nature are always suspect to me, in spite of their beauty. They give me no pleasure. They are merely auxiliaries. At close range it is all not true. Votes: 0

I venture to give an alternative method of regarding the processes occurring in the electric field, which I have often found useful and which is, from a mathematical point of view, equivalent to Maxwell's Theory. Votes: 0

I'm interested in complexity, in the mathematical sense, as well as the idiomatic sense. The idea of emergence - that it's possible for complex patterns to arise out of many simple interactions - is fascinating. Votes: 0

Many persons entertain a prejudice against mathematical language, arising out of a confusion between the ideas of a mathematical science and an exact science. ...in reality, there is no such thing as an exact science. Votes: 0

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a mathematician has the best chance of whatever it may mean. Votes: 0

Euclid ... manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does. Votes: 0

We must... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be filled with objects - it is a pure theory of manifolds. Votes: 0

In this age of specialization, I sometimes think of myself as the last 'generalist' in economics, with interests that range from mathematical economics down to current financial journalism. My real interests are research and teaching... Votes: 0

For me, rhythm is a type of divine mathematics in a way. No matter where you're from, we can all understand the mathematics of rhythm. I try to apply this mathematical thinking to my playing. Votes: 0