105 Mathematical Models Quotes
Following is our list of mathematical models quotations and slogans full of insightful wisdom and perspective about economic models.
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Famous Mathematical Models Quotes
All models are approximations. Essentially, all models are wrong, but some are useful. However, the approximate nature of the model must always be borne in mind. — George E. P. Box
All models are wrong, but some are useful. — George E. P. Box
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. — James Jeans
Statisticians, like artists, have the bad habit of falling in love with their models. — George E. P. Box
Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality. — Nikola Tesla
What humans do with the language of mathematics is to describe patterns. — Lynn Steen
Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them. — Joseph Fourier
Mathematics is the language of nature. — Naval Ravikant
Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field. — Paul Dirac
We are not a teaching organization. We are a research organization. We hire people to make mathematical models of the markets in which we invest. — Jim Simons
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. — Heinrich Hertz
Mental models are deeply ingrained assumptions, generalizations, or even pictures of images that influence how we understand the world and how we take action. — Peter Senge
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. — Jacob Bernoulli
All the mathematical sciences are founded on relations between physical laws and laws of numbers. — James Clerk Maxwell
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. — Bertrand Russell
Short Mathematical Models Quotes
- A mathematician is a device for turning coffee into theorems. — Paul Erdos
- Human models are more vivid and more persuasive than explicit moral commands. — Daniel J. Boorstin
- A mathematician, like a painter or a poet, is a maker of patterns. — G. H. Hardy
- It is insufficient to protect ourselves with laws; we need to protect ourselves with mathematics. — Bruce Schneier
- Pure mathematics is, in its way, the poetry of logical ideas. — Albert Einstein
- The laws of nature are but the mathematical thoughts of God. — Euclid
- Mathematics is written for mathematicians. — Nicolaus Copernicus
Mathematical Models Image Quotes
Mathematical Equations Quotes
In order to solve this differential equation you look at it until a solution occurs to you. — George Polya
The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful. — Aristotle
It is more important to have beauty in one's equations than to have them fit experiment. — Paul Dirac
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding. — William Thurston
If equations are trains threading the landscape of numbers, then no train stops at pi. — Richard Preston
If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries. — Carl Friedrich Gauss
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. — Paul Dirac
Geometry is the science of correct reasoning on incorrect figures. — George Polya
Love and you shall be loved. All love is mathematically just, as much as the two sides of an algebraic equation. — Ralph Waldo Emerson
Investment success cannot be captured in a mathematical equation or a computer program. — Seth Klarman
Economic Models Quotes
The linear 'Take - Make - Dispose' system, which depletes natural resources and generates waste, is deeply flawed and can be productively replaced by a restorative model in which waste does not exist as such but is only food for the next cycle — Ellen MacArthur
This is probably the most difficult task we have ever given ourselves, which is to intentionally transform the economic development model, for the first time in human history. — Christiana Figueres
I wish we questioned the aid model as much as we are questioning the capitalism model. Sometimes the most generous thing you can do is just say no. — Dambisa Moyo
And this fear that US models are replacing everything else now spills over from the sphere of culture into our two remaining categories: for this process is clearly, at one level, the result of economic domination - of local cultural industries closed down by American rivals. — Fredric Jameson
The communist model does not work economically, we all realised that, but the capitalist model in the modern world also looks to be unsustainable. — Arsene Wenger
I have a lot of trouble understanding all the detail of finance and administration - but if you combine intellectual and professional capacity with a social conscience, you can change things: countries, structures, economic models, colonial states. — Evo Morales
Whatever their limitations, Freud and Marx developed complex and subtle theories of human nature grounded in their observation of individual and social behavior. The crackpot rationalism of free-market economics merely relies on an abstract model of how people "must" behave. — Ellen Willis
We are committed with our lives to building a different model and a different future for humanity, the Earth, and other species. We have envisaged a moral alternative to economic globalization and we will not rest until we see it realized. — Maude Barlow
The European model is, first, a social and economic system founded on the role of the market, for no computer in the world can process information better than the market. — Jacques Delors
What counts is results, and there can be no doubt that the Soviet planning system has been a powerful engine for economic growth...The Soviet model has surely demonstrated that a command economy is capable of mobilizing resources for rapid growth. — Paul Samuelson
Mathematical Problems Quotes
It is better to solve one problem five different ways, than to solve five problems one way. — George Polya
In mathematics, if I find a new approach to a problem, another mathematician might claim that he has a better, more elegant solution. In chess, if anybody claims he is better than I, I can checkmate him. — Emanuel Lasker
I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about. — Andrew Wiles
Bitcoin is a solution out of that problem [money printing]. It’s a system change. — Jeff Booth
Neumann, to a physicist seeking help with a difficult problem: Simple. This can be solved by using the method of characteristics. Physicist: I'm afraid I don't understand the method of characteristics. Neumann: In mathematics you don't understand things. You just get used to them. — John Von Neumann
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. — Israel Nathan Herstein
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
A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution. — David Hilbert
Can’t be starting all these problems if you cannot solve them. — Cardi B
If there is a problem you can't solve, then there is an easier problem you can't solve: find it. — George Polya
Mathematical Analysis Quotes
Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician. — Gottlob Frege
Mathematical Analysis is... the true rational basis of the whole system of our positive knowledge. — Auguste Comte
Now, the velocity of wave propagation can be seen, without the aid of any mathematical analysis, to depend on the elasticity of the medium and its density; for we can see that if a medium is highly elastic the disturbance would be propagated at a great speed. — Albert A. Michelson
The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic. — Ronald Fisher
Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing. — Vladimir Arnold
I agree with Warren to keep it simple and not use higher mathematics in your analysis. — Walter Schloss
Mathematical Analysis is as extensive as nature herself. — Joseph Fourier
The abstract analysis of the world by mathematics and physics rests on the concepts of space and time. — James J. Gibson
Mathematicians tend to prefer a worst-case analysis, a kind of paranoia that is especially understandable if you live in Israel! — Noga Alon
Mathematics is one of the deepest and most powerful expressions of pure human reason, and, at the same time, the most fundamental resource for description and analysis of the experiential world. — Hyman Bass
People Writing About Mathematical Models
| Name | Quotes | Likes |
|---|---|---|
 George E. P. Box |
15 | 200 |
 James Jeans |
23 | 97 |
 Nikola Tesla |
199 | 7670 |
 Lynn Steen |
9 | 29 |
 Naval Ravikant |
583 | 1 |
 Paul Dirac |
47 | 791 |
More Mathematical Models Quotes
The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing? — Stephen Hawking
I'm very good at integral and differential calculus, I know the scientific names of beings animalculous; In short, in matters vegetable, animal, and mineral, I am the very model of a modern Major-General. — W. S. Gilbert
What distinguishes a mathematical model from, say, a poem, a song, a portrait or any other kind of "model," is that the mathematical model is an image or picture of reality painted with logical symbols instead of with words, sounds or watercolors. — John L. Casti
We have three criteria: If it’s publicly traded, liquid and amenable to modeling, we trade it. — Jim Simons
I took a break from acting for four years to get a degree in mathematics at UCLA, and during that time I had the rare opportunity to actually do research as an undergraduate. And myself and two other people co-authored a new theorem: Percolation and Gibbs States Multiplicity for Ferromagnetic Ashkin-Teller Models on Two Dimensions, or Z2. — Danica McKellar
Do not trust financial market risk models. Despite the predilection of some analysts to model the financial markets using sophisticated mathematics, the markets are governed by behavioral science, not physical science. — Seth Klarman
The difference is that we have the hardest and most painful evidence that there was a Holocaust. But, for the global warming scenario that is causing such hysteria, we have only a movie made by a politician and mathematical models whose results change drastically when you change a few of the arbitrarily selected variables. — Thomas Sowell
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. — Sam Harris
If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming. — George Dantzig
I recognize that I have a unique position to be a role model to young girls because I am doing something that they consider glamorous, which is acting, and yet I took a time to really get my education and study mathematics, and I think math is the cat's meow. — Danica McKellar
A theory is just a mathematical model to describe the observations. — Karl Popper
Why does the universe go to all the bother of existing? — Stephen Hawking
The good news is that, at least in economics, I've seen movement away from its overemphasis on mathematical models of purely rational behavior to a more eclectic and commonsense approach: research that is, among other things, more respectful of insights from psychology. — Robert J. Shiller
For far too long economists have sought to define themselves in terms of their supposedly scientific methods. In fact, those methods rely on an immoderate use of mathematical models, which are frequently no more than an excuse for occupying the terrain and masking the vacuity of the content. — Thomas Piketty
The power of equations lies in the philosophically difficult correspondence between mathematics, a collective creation of human minds, and an external physical reality. Equations model deep patterns in the outside world. By learning to value equations, and to read the stories they tell, we can uncover vital features of the world around us. — Ian Stewart
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. — Alexander Tsiaras
The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work. — John Von Neumann
Even if there is only one possible unified theory, it is just a set of rules and equations. What is it that breathes fire into the equations and makes a universe for them to describe? The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing? — Stephen Hawking
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. — James W. Black
Is war an inevitable outcome of competing interests in a complex society? In other words, would war be the same even if human nature were very different? There are mathematical models of large groups working together that lead to conflict on a reliable basis. So there's a whole other view of war that is not psychological at all. — Jaron Lanier
If you go through the list of things that are not possible you're left with a very finite amount of possibilities. The fancy name for this is constraint theory. It's a nonquantitative model, but it's a field of mathematics. — George Friedman
I think that mathematics can benefit by acknowledging that the creation of good models is just as important as proving deep theorems. — David Mumford
It is clear that the building of models is not a purely mechanical process but requires skill of a high order - not merely mathematical skill but a sensitivity to the relative importance of different factors and a critical, almost an artistic, faculty in the selection of behaviour equations which are reasonable, tentative hypotheses in explaining the behaviour of actual economies. — Kenneth E. Boulding
The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke. — John Allen Paulos
The standard model gives us an accuracy of ten decimal digits, this is an amazing success that has never been achieved before in science. — Nathan Seiberg
Why waste words? Geometry existed before the Creation, is co-eternal with the mind of God, is God himself (what exists in God that is not God himself?): geometry provided God with a model for the Creation and was implanted into man, together with God's own likeness - and not merely conveyed to his mind through the eyes. — Johannes Kepler
We chose to do this work mathematically, which has the advantage of precision but is not always appreciated by readers. It is perhaps for this reason that anthropologists have not shown much interest in these models, unlike economists, for example, for whom the use of mathematics poses no problem. However, one could reach the same conclusions by using just a bit of common sense. — Luigi Luca Cavalli-Sforza
In the popular mind, if Hoyle is remembered it is as the prime mover of the discredited Steady State theory of the universe. "Everybody knows" that the rival Big Bang theory won the battle of the cosmologies, but few (not even astronomers) appreciate that the mathematical formalism of the now-favoured version of Big Bang, called inflation, is identical to Hoyle's version of the Steady State model. — Fred Hoyle
The space that we're looking through is nine-dimensional. If you build a mathematical model, the amount of searching that we've done in 50 years is equivalent to scooping one 8-ounce glass out of the Earth's ocean, looking and seeing if you caught a fish. No, no fish in that glass? Well, I don't think you're going to conclude that there are no fish in the ocean. You just haven't searched very well yet. That's where we are. — Jill Tarter
One might say the computer is being used to program the child. In my vision, the child programs the computer, and in doing so, both acquires a sense of mastery over a piece of the most modern and powerful technology and establishes an intense contact with some of the deepest ideas from science, from mathematics, and from the art of intellectual model building. — Seymour Papert
The pursuit of learning is not a piece of content that can be taught. It is a value that teachers model. Only teachers who are avid, internally motivated learners can truly teach their students the joy of learning. — Martin Haberman
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. — Robert Higgs
When I entered graduate school I had carried out the instructions given to me by my father and had knocked on both Murray Gell-Mann's and Feynman's doors and asked them what they were currently doing. Murray wrote down the partition function for the three-dimensional Ising model and said it would be nice if I could solve it (at least that is how I remember the conversation). Feynman's answer was 'nothing'. — Kenneth G. Wilson
Modern economics is a set of formal models and equations purporting to fully determine human behaviour, at least in the economic realm. And there is no way that uncertainty can be compressed into determinate mathematical models. — Murray Rothbard
There is a history of mathematical models of oligopolistic competition dating from Cournot to the theory of games. There is also a literature generated by institutional economists, lawyers, and administrators interested in formulating and implementing public policy. It has been the tendency of these groups to work almost as though the other did not exist. — Martin Shubik
While there is such a thing as correctness in ethics, in interpretation, in mathematics, the way to understand that is not by trying to model it on the ways in which we get things right in physics. — Hilary Putnam
Until now, physical theories have been regarded as merely models with approximately describe the reality of nature. As the models improve, so the fit between theory and reality gets closer. Some physicists are now claiming that supergravity is the reality, that the model and the real world are in mathematically perfect accord. — Paul Davies
The best material model of a cat is another, or preferably the same, cat. — Norbert Wiener
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. The verbal interpretation, on the other hand - i.e., the metaphysics of quantum theory - is on far less solid ground. In fact, in more than forty years physicists have not been able to provide a clear metaphysical model. — Fritjof Capra
Mathematics is much more than a language for dealing with the physical world. It is a source of models and abstractions which will enable us to obtain amazing new insights into the way in which nature operates. Indeed, the beauty and elegance of the physical laws themselves are only apparent when expressed in the appropriate mathematical framework. — Melvin Schwartz
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. — Steven Pinker
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