First, it is necessary to study the facts, to multiply the number of observations, and then later to search for formulas that… — Augustin-Louis Cauchy Copy Share Image
Perhaps we see equations as simple because they are easily expressed in terms of mathematical notation already invented at an earlier stage… — Murray Gell-Mann Copy Share Image
For the historian everything begins and ends with time, a mathematical, godlike time, a notion easily mocked, time external to men, 'exogenous,'… — Fernand Braudel Copy Share Image
... I soon found an opportunity to be introduced to a famous professor Johann Bernoulli. ... True, he was very busy and… — Leonhard Euler Copy Share Image
... numbers have neither substance, nor meaning, nor qualities. They are nothing but marks, and all that is in them we have… — Hermann Weyl Copy Share Image
Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does… — Charles Proteus Steinmetz Copy Share Image
Finally, two days ago, I succeeded - not on account of my hard efforts, but by the grace of the Lord. Like… — Carl Friedrich Gauss Copy Share Image
It seems that jazz is more cerebral and more mathematical in a sense. — Rita Coolidge Copy Share Image
Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four,… — Johann Wolfgang von Goethe Copy Share Image
Almost in the same way as earlier physicists are said to have found suddenly that they had too little mathematical understanding to… — Ludwig Wittgenstein Copy Share Image
It is all about numbers. It is all about sequence. It's the mathematical logic of being alive. If everything kept to its… — Aimee Bender Copy Share Image
Alan Turing gave us a mathematical model of digital computing that has completely withstood the test of time. He gave us a… — George Dyson Copy Share Image
It seems perfectly clear that Economy, if it is to be a science at all, must be a mathematical science. There exists… — William Stanley Jevons Copy Share Image
We could present spatially an atomic fact which contradicted the laws of physics, but not one which contradicted the laws of geometry. — Ludwig Wittgenstein Copy Share Image
The one [the logician] studies the science of drawing conclusions, the other [the mathematician] the science which draws necessary conclusions. — Charles Sanders Peirce Copy Share Image
Paradox is the sharpest scalpel in the satchel of science. Nothing concentrates the mind as effectively, regardless of whether it pits two… — Hans Christian von Baeyer Copy Share Image
The stone that Dr. Johnson once kicked to demonstrate the reality of matter has become dissipated in a diffuse distribution of mathematical… — Morris Kline Copy Share Image
He that gives a portion of his time and talent to the investigation of mathematical truth, will come to all other questions… — Charles Caleb Colton Copy Share Image
Diatonic, he heard the word in his head. Chromatic, pentatonic, hexatonic, heptatonic, octatonic, each iteration of the scale opening innumerable possibilities for… — Ru Freeman Copy Share Image
It is quite clear that beauty does depend on one's culture and upbringing for certain kinds of beauty, pictures, literature, poetry and… — Paul Dirac Copy Share Image
All err the more dangerously because each follows a truth. Their mistake lies not in following a falsehood but in not following… — Blaise Pascal Copy Share Image
The great trick of regarding small departures from the truth as the truth itself - on which is founded the entire integral… — Georg C. Lichtenberg Copy Share Image
Since you are now studying geometry and trigonometry, I will give you a problem. A ship sails the ocean. It left Boston… — Gustave Flaubert Copy Share Image
When introduced at the wrong time or place, good logic may be the worst enemy of good teaching. — George Polya Copy Share Image