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Mathematical Quotes
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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
,
Boring
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
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
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
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
Andrew Wiles
Good
,
Rather
,
Problem
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 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
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
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
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 laws of nature are but the mathematical thoughts of God.
Euclid
God
,
Nature
,
Thoughts
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
,
Intuition
No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
George Boole
Beautiful
,
Matter
,
Until
I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.
Georg Cantor
Nature
,
Certain
,
Opinions
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
I would finally renounce my delusional hypotheses and revert to thinking of myself as a human of more conventional circumstances and return to mathematical research.
John Forbes Nash, Jr.
Thinking
,
Research
,
Return
A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.
David Hilbert
Until
,
Meet
,
Clear
One cannot really argue with a mathematical theorem.
Stephen Hawking
Cannot
,
Argue
,
Theorem
Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not.
G. H. Hardy
Die
,
Ideas
,
Forgotten
As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
Arthur Cayley
Beauty
,
Theory
,
Perceived
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
The mathematical framework of quantum theory has passed countless successful tests and is now universally accepted as a consistent and accurate description of all atomic phenomena.
Erwin Schrodinger
Successful
,
Theory
,
Accepted
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
,
Useful
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
,
Research
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
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