The essence of mathematics is not to make simple things complicated, but to make complicated things simple.
Go down deep enough into anything and you will find mathematics.
Trigonometry is a sine of the times.
Mathematics is as much an aspect of culture as it is a collection of algorithms.
-Carl Boyer (1949 calculus textbook)
The hardest arithmetic to master is that which enables us to count our blessings.
But mathematics is the sister, as well as the servant, of the arts and is touched with the same madness and genius.
-Harold Marston Morse
We could use up two Eternities in learning all that is to be learned about our own world and the thousands of nations that have arisen and flourished and vanished from it. Mathematics alone would occupy me eight million years.
In the binary system we count on our fists instead of on our fingers.
There are 10 types of people in this world: those who understand binary and those who don't.
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.
-Philip J. Davis
Pure mathematics is the world's best game. It is more absorbing than chess, more of a gamble than poker, and lasts longer than Monopoly. It's free. It can be played anywhere - Archimedes did it in a bathtub.
-Richard J. Trudeau
The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization.
Mathematics is less related to accounting than it is to philosophy.
Obvious is the most dangerous word in mathematics.
5 out of 4 people have trouble with fractions.
-Board in Danby NY
USA Today has come out with a new survey--apparently three out of every four people make up 75% of the population.
I'm a mathematical optimist: I deal only with positive integers.
A mathematician is a blind man in a dark room looking for a black cat which isn't there.
-Charles R. Darwin
Math is the only place where truth and beauty mean the same thing.
Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems.
That's all well and good in practice, but how does it work in theory?
I certainly do care about measuring educational results. But what is an 'educational result?' The twinkling eyes of my students, together with their heartfelt and beautifully expressed mathematical arguments are all the results I need.
The grand thing is to be able to reason backwards.
Pure mathematics is, in its way, the poetry of logical ideas.
Not everything that can be counted counts, and not everything that counts can be counted.
-Albert EinsteinWhen I am working on a problem I never think about beauty. I only think about how to solve the problem. But when I have finished, if the solution is not beautiful, I know it is wrong.
Once you eliminate the impossible, whatever remains, no matter how improbable, must be the truth.
-Sherlock Holmes (Sir Arthur Conan Doyle)
Science is facts; just as houses are made of stones, so is science made of facts; but a pile of stones is not a house and a collection of facts is not necessarily science.
-Jules Henri Poincare
Equipped with his five senses, man explores the universe around him and calls the adventure Science.
-Edwin Powell Hubble
Nature composes some of her loveliest poems for the microscope and the telescope
The most exciting phrase to hear in science, the one that heralds the most discoveries, is not "Eureka!" (I found it!) but "That's funny..."
The important thing in science is not so much to obtain new facts as to discover new ways of thinking about them.
-William Lawrence Bragg
Men love to wonder, and that is the seed of science.
-Ralph Waldo Emerson
Science is simply common sense at its best.
The greatest discoveries of science have always been those that forced us to rethink our beliefs about the universe and our place in it.
-Robert L. Park
The scientist is not a person who gives the right answers, he's one who asks the right questions.
Facts are not science - as the dictionary is not literature.
-Martin H. Fischer
Even if the open windows of science at first make us shiver after the cozy indoor warmth of traditional humanizing myths, in the end the fresh air brings vigor, and the great spaces have a splendor of their own.
Theory guides. Experiment decides.
If it's green or wriggles, it's biology.
If it stinks, it's chemistry.
If it doesn't work, it's physics.
-Handy Guide to Science
Science, in the very act of solving problems, creates more of them.
The saddest aspect of life right now is that science gathers knowledge faster than society gathers wisdom.
For a list of all the ways technology has failed to improve the quality of life, please press three.
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