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Mathematical Quotes - Page 2
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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.
Edsger Dijkstra
Step
,
Elegance
,
Clumsy
I regard it in fact as the great advantage of the mathematical technique that it allows us to describe, by means of algebraic equations, the general character of a pattern even where we are ignorant of the numerical values which will determine its particular manifestation.
Friedrich August von Hayek
Great
,
Character
,
Values
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.
Roger Bacon
Science
,
Knowledge
,
Brain
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
Ambition
,
Principles
,
Event
Most people don't have time to master the very mathematical details of theoretical physics.
Stephen Hawking
Time
,
Details
,
Physics
Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not.
G. H. Hardy
Die
,
Ideas
,
Remembered
The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation.
Marquis De Custine
Society
,
Rigor
,
Submitted
In a few decades of reconstruction, even the mathematical natural sciences, the ancient archetypes of theoretical perfection, have changed habit completely!
Edmund Husserl
Perfection
,
Changed
,
Natural
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.
Crispin Glover
Meaning
,
Follow
,
Bother
I was a good student with mathematical ability and interests. As such, I took the usual college preparatory program in high school for one looking to become an engineer: all the available courses in mathematics and science.
Dale T. Mortensen
Science
,
Good
,
Looking
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.
Paul Davies
God
,
Faith
,
Explain
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.
David Hilbert
Time
,
Science
,
Tools
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.
Jean Piaget
Psychology
,
Logical
,
Account
As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
Arthur Cayley
Beauty
,
Explained
,
Theory
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.
Robert Lanza
Nature
,
Science
,
Against
To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers.
Paul Klee
Positive
,
Beautiful
,
Numbers
Beyond basic mathematical aptitude, the difference between good programmers and great programmers is verbal ability.
Marissa Mayer
Good
,
Great
,
Difference
Music rhythms are mathematical patterns. When you hear a song and your body starts moving with it, your body is doing math. The kids in their parents' garage practicing to be a band may not realize it, but they're also practicing math.
Kareem Abdul-Jabbar
Music
,
Parents
,
Moving
There has to be a mathematical explanation for how bad that tie is.
Russell Crowe
Tie
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.
George Dyson
Time
,
Digital
,
Test
Mathematical discoveries, like springtime violets in the woods, have their season which no man can hasten or retard.
Janos Bolyai
Woods
,
Season
,
Retard
I think part of the appeal of mathematical logic is that the formulas look mysterious - You write backward Es!
Hilary Putnam
Logic
,
Mysterious
,
Appeal
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.
Marcus du Sautoy
Numbers
,
Order
,
Symbolism
One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden.
Steven Strogatz
Eyes
,
Looking
,
Hidden
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.
Thomas A. Edison
Fact
,
Behind
,
Infinite
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
Andrew Wiles
Good
,
Problem
,
Rather
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