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Mathematical Quotes
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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
,
Fact
Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there.
Marcus du Sautoy
Time
,
Beauty
,
Worth
It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth.
Jean Piaget
Education
,
Best
,
Knowledge
The computer can't tell you the emotional story. It can give you the exact mathematical design, but what's missing is the eyebrows.
Frank Zappa
Design
,
Story
,
Emotional
The laws of nature are but the mathematical thoughts of God.
Euclid
God
,
Nature
,
Thoughts
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 my mathematical brain, the numbers alone make thinking about aliens perfectly rational. The real challenge is to work out what aliens might actually be like.
Stephen Hawking
Work
,
Alone
,
Thinking
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
Andrew Wiles
Good
,
Rather
,
Problem
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
Faith
,
God
,
Simply
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
David Hilbert
Science
,
Opinion
,
Whose
Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it.
Edmund Husserl
Work
,
Full
,
Research
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
,
Consider
,
Essential
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
,
Laws
Dr. Karel Culik is an outstanding applied mathematician, a specialist in algebra, logic, computer sciences and mathematical linguistics. In 1965, he visited the linguistics research program at MIT, and we have worked together on several projects since.
Noam Chomsky
Together
,
Since
,
Worked
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
Taken
,
Beings
,
Psychology
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
Alan Turing
Rather
,
Call
,
Exercise
Among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other, and continues to fascinate me, is the structure hidden in mathematical things.
Alexander Grothendieck
Itself
,
Among
,
Hidden
Evolution has ensured that our brains just aren't equipped to visualise 11 dimensions directly. However, from a purely mathematical point of view it's just as easy to think in 11 dimensions, as it is to think in three or four.
Stephen Hawking
Three
,
Point
,
Easy
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
Fact
,
Known
,
Lies
All my family has very good mathematical abilities - like, so dorky. I was the dork then in school - on any maths exams I'd get 100%. I just knew how to do maths and most people would hate it, but for some reason it just came.
Rebel Wilson
Good
,
Family
,
Hate
Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
G. H. Hardy
Taught
,
Above
,
Pure
Things like the financial markets - a proper grounding in mathematics could help the common man. I believe that if people are more familiar with mathematical concepts... it can help deal with modern life, which is increasingly complex.
Viswanathan Anand
Life
,
Help
,
Deal
The social sciences, I thought, needed the same kind of rigor and the same mathematical underpinnings that had made the 'hard' sciences so brilliantly successful.
Herbert Simon
Successful
,
Social
,
Needed
As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
Arthur Cayley
Beauty
,
Theory
,
Perceived
Statistics: the mathematical theory of ignorance.
Morris Kline
Ignorance
,
Theory
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