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But twice-two-makes-four is for all that a most insupportable thing. Twice-two-makes-four is, in my humble opinion, nothing but a piece of impudence. Twice-two-makes-four is a farcical, dressed-up fellow who stands across your path with arms akimbo and spits at you.
Fyodor Dostoyevsky
Why do you have such a crappy attitude about math?""I don't. I have a crappy attitude about everything.
Laurie Halse Anderson
It is the story that matters not just the ending.
Paul Lockhart
There have been many authorities who have asserted that the basis of science lies in counting or measuring, i.e. in the use of mathematics. Neither counting nor measuring can however be the most fundamental processes in our study of the material universe—before you can do either to any purpose you must first select what you propose to count or measure, which presupposes a classification.
Roy A. Crowson
From the age of 13, I was attracted to physics and mathematics. My interest in these subjects derived mostly from popular science books that I read avidly. Early on I was fascinated by theoretical physics and determined to become a theoretical physicist. I had no real idea what that meant, but it seemed incredibly exciting to spend one's life attempting to find the secrets of the universe by using one's mind.
David Gross
Primary causes are unknown to us; but are subject to simple and constant laws, which may be discovered by observation, the study of them being the object of natural philosophy.Heat, like gravity, penetrates every substance of the universe, its rays occupy all parts of space. The object of our work is to set forth the mathematical laws which this element obeys. The theory of heat will hereafter form one of the most important branches of general physics.
Joseph Fourier
1337% of Pi ≈ 42
Mario J. Lucero
In geometry, whenever we had to find the area of a circle, pi * radius squared, I would get really hungry for pie. Square pie.
Dan Florence
No doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending parrot-like apparent competence--a duty and a duty alone--and no hint of magic or beauty of the subject might be allowed to come through.
Roger Penrose
The sciences are not sectarian. People do not persecute each other on account of disagreements in mathematics. Families are not divided about botany, and astronomy does not even tend to make a man hate his father and mother. It is what people do not know, that they persecute each other about. Science will bring, not a sword, but peace.
Robert G. Ingersoll
Division isn't just a math's problem.It's also humanities!
Anthony T.Hincks
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.
G H Hardy
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.
Melvin Schwartz
Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.
Giuseppe Peano
For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?
Richard Courant
Mathematics is the study of analogies between analogies. All science is. Scientists want to show that things that don't look alike are really the same. That is one of their innermost Freudian motivations. In fact, that is what we mean by understanding.
Gian-Carlo Rota
Making mathematics accessible to the educated layman, while keeping high scientific standards, has always been considered a treacherous navigation between the Scylla of professional contempt and the Charybdis of public misunderstanding.
Gian-Carlo Rota
How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they are the majority. ... We have here a problem that is not easy of solution, but yet must engage the attention of all who wish to devote themselves to education.
Henri Poincaré
If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.
Vannevar Bush
The most fundamental laws of physics are not restrictions on the behaviour of matter. Rather, they are restrictions on the way physicists may describe that behaviour.
Victor J. Stenger
There was a footpath leading across fields to New Southgate, and I used to go there alone to watch the sunset and contemplate suicide. I did not, however, commit suicide, because I wished to know more of mathematics.
Bertrand Russell
[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing—one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.
Paul R. Halmos
Music has more rules than math or magic and it's twice as dangerous as both or either.
Catherynne M. Valente
The spectacular thing about Johnny [von Neumann] was not his power as a mathematician, which was great, or his insight and his clarity, but his rapidity; he was very, very fast. And like the modern computer, which no longer bothers to retrieve the logarithm of 11 from its memory (but, instead, computes the logarithm of 11 each time it is needed), Johnny didn't bother to remember things. He computed them. You asked him a question, and if he didn't know the answer, he thought for three seconds and would produce and answer.
Paul R. Halmos
Business, to be successful, must be based on science, for demand and supply are matters of mathematics, not guesswork.
Elbert Hubbard
Mathematicians enjoy thinking about the simplest possible things, and the simplestpossible things are imaginary.
Paul Lockhart
It is all about numbers. It is all about sequence. It's the mathematical logic of being alive. If everything kept to its normal progression, we would live with the sadness--cry and then walk--but what really breaks us cleanest are the losses that happen out of order.
Aimee Bender
The vast majority of us imagine ourselves as like literature people or math people. But the truth is that the massive processor known as the human brain is neither a literature organ or a math organ. It is both and more.
John Green
The probability of an event is the reason we have to believe that it has taken place, or that it will take place.The measure of the probability of an event is the ratio of the number of cases favourable to that event, to the total number of cases favourable or contrary, and all equally possible.
Siméon Denis Poisson
The universe is math on fire.
Scott Westerfeld
If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.
Henri Poincaré
Teaching is a dialogue, and it is through the process of engaging students that we see ideas taken from the abstract and played out in concrete visual form. Students teach us about creativity through their personal responses to the limits we set, thus proving that reason and intuition are not antithetical. Their works give aesthetic visibility to mathematical ideas.
Martha Boles
The consequence model, the logical one, the amoral one, the one which refuses any divine intervention, is a problem really for just the (hypothetical) logician. You see, towards God I would rather be grateful for Heaven (which I do not deserve) than angry about Hell (which I do deserve). By this the logician within must choose either atheism or theism, but he cannot possibly through good reason choose anti-theism. For his friend in this case is not at all mathematical law: the law in that 'this equation, this path will consequently direct me to a specific point'; over the alternative and the one he denies, 'God will send me wherever and do it strictly for his own sovereign amusement.' The consequence model, the former, seeks the absence of God, which orders he cannot save one from one's inevitable consequences; hence the angry anti-theist within, 'the logical one', the one who wants to be master of his own fate, can only contradict himself - I do not think it wise to be angry at math.
Criss Jami
Competence is the most effective tool to hide madness. Black holes actually appear to be the brightest stars in sky. ~ Aarush Kashyap
Kirtida Gautam
If I wanted you to understand, I would have explained it better ~ Aarush Kashyap
Kirtida Gautam
As the world continually multiplies, are we in a generation where people are divided, or people are equal?
Anthony Liccione
Do not try the parallels in that way: I know that way all along. I have measured that bottomless night, and all the light and all the joy of my life went out there.[Having himself spent a lifetime unsuccessfully trying to prove Euclid's postulate that parallel lines do not meet, Farkas discouraged his son János from any further attempt.]
Farkas Bolyai
My sub doesn't pay for me,” he says, pulling me to my feet. “That just doesn't happen.”“But we ordered so much,” I say helpl
Nenia Campbell
Luck is not some esoteric, godlike phenomenon. Luck is countable but undefinable. Luck easily can be explained as number of factors acting in a favour of a person. These factors' behaviour could be statistically proved , and the probability of such result is possible. It is not related to something explainable event. Actually, the miracle would be if these events (luck) are not in presence in our life. The matter as then would be mathematics proved wrong. So, make your luck!"
Csaba Gabor-B
Mathematics began to seem too much like puzzle solving. Physics is puzzle solving, too, but of puzzles created by nature, not by the mind of man.
Maria Goeppert Mayer
I remember our childhood dayswhen life was easyand math problems hard.Mom would help us with our homeworkand dad was not at home but at work.After our chores, we’d go to the old fort museum with clips in our hair and pure joy in our hearts.You, sister, wore the bangles thatyou, brother, got as a prize from the Dentist.“Why the bangles?” the Dentist asked, surprised, for boys picked the stickers of cars instead.“They’re for my sisters,” you said.Mom would treat us to a bottle of Coke,a few sips each. Then,we’d buy the sweet smelling bread from the same white vanand hand-in-hand,we’d walk to our small flat above the restaurant.I remember our childhood days.Do you remember them too?
Kamand Kojouri
In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide -- a relief from daily life, an anodyne to the practical workaday world.
Paul Lockhart
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.
Vann Chow
Here is an equation worth remembering: Five dollars earned minus seven dollars spent = Unhappy Life." (Life Hacks, p.51)
Jon Morrison
Whoever said God is a mathematician or an architect was not paying attention. The universe behaves more like a song than an equation. God is the great composer. A song contain mathematical relationships but an equation does not contain a song.
R.A.Delmonico
When a friend introduced me to a Bach chaconne, he started by describing it by saying that it has 256 measures (256=2^8) divided into 4 sections of 64 measures (64=2^6), and I liked it even before I heard a single note.
James Stein
Music is the melody that longs to be heard by someone who can appreciate it.
Suzette Vearnon
BE the music, DO the math, HAVE the dream!
Suzette Vearnon
Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package.
Robert Kanigel
Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package.
Robert Kanigel
To be a scholar study math, to be a smart study magic.
Amit Kalantri
Infinite is a meaningless word: except – it states / The mind is capable of performing / an endless process of addition.
Louis Zukofsky
He walked straight out of college into the waiting arms of the Navy. They gave him an intelligence test. The first question on the math part had to do with boats on a river: Port Smith is 100 miles upstream of Port Jones. The river flows at 5 miles per hour. The boat goes through water at 10 miles per hour. How long does it take to go from Port Smith to Port Jones? How long to come back?Lawrence immediately saw that it was a trick question. You would have to be some kind of idiot to make the facile assumption that the current would add or subtract 5 miles per hour to or from the speed of the boat. Clearly, 5 miles per hour was nothing more than the average speed. The current would be faster in the middle of the river and slower at the banks. More complicated variations could be expected at bends in the river. Basically it was a question of hydrodynamics, which could be tackled using certain well-known systems of differential equations. Lawrence dove into the problem, rapidly (or so he thought) covering both sides of ten sheets of paper with calculations. Along the way, he realized that one of his assumptions, in combination with the simplified Navier Stokes equations, had led him into an exploration of a particularly interesting family of partial differential equations. Before he knew it, he had proved a new theorem. If that didn't prove his intelligence, what would?Then the time bell rang and the papers were collected. Lawrence managed to hang onto his scratch paper. He took it back to his dorm, typed it up, and mailed it to one of the more approachable math professors at Princeton, who promptly arranged for it to be published in a Parisian mathematics journal.Lawrence received two free, freshly printed copies of the journal a few months later, in San Diego, California, during mail call on board a large ship called the U.S.S. Nevada. The ship had a band, and the Navy had given Lawrence the job of playing the glockenspiel in it, because their testing procedures had proven that he was not intelligent enough to do anything else.
Neal Stephenson
A mathematician, like a painter or a poet, is a maker of poems. If his patterns are more permanent than theirs, it is because they are made with ideas.
G H Hardy
A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than their, it is because they are made with ideas.
G H Hardy
The good Christian should beware of mathematicians. The danger already exists that mathematicians have made a covenant with the devil to darken the spirit and confine man in the bonds of Hell.
Augustine of Hippo
... those who seek the lost Lord will find traces of His being and beauty in all that men have made, from music and poetry and sculpture to the gingerbread men in the pâtisseries, from the final calculation of the pure mathematician to the first delighted chalk drawing of a small child.
Caryll Houselander
This world is of a single piece; yet, we invent nets to trap it for our inspection. Then we mistake our nets for the reality of the piece. In these nets we catch the fishes of the intellect but the sea of wholeness forever eludes our grasp. So, we forget our original intent and then mistake the nets for the sea.Three of these nets we have named Nature, Mathematics, and Art. We conclude they are different because we call them by different names. Thus, they are apt to remain forever separated with nothing bonding them together. It is not the nets that are at fault but rather our misunderstanding of their function as nets. They do catch the fishes but never the sea, and it is the sea that we ultimately desire.
Martha Boles
Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations.
Paul Lockhart
It is strange a difference comes from a subtraction.
Natasha Tsakos
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