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Mathematical Quotes - Page 2
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Out of fifty mathematical papers presented in brief at such a meeting, it is a rare mathematician indeed who really understands what more than half a dozen are about.
E. T. Bell
Meeting
,
Half
,
More
I believe sanity and realism can be restored to the teaching of Mathematical Statistics most easily and directly by entrusting such teaching largely to men and women who have had personal experience of research in the Natural Sciences.
Ronald Fisher
Women
,
Experience
,
Men
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
,
Me
All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.
James C. Maxwell
Nature
,
Determination
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
Chemistry
,
Physics
,
Laws
When I speak of the beauty of a game of chess, then naturally this is subjective. Beauty can be found in a very technical, mathematical game for example. That is the beauty of clarity.
Vladimir Kramnik
Beauty
,
Speak
,
Game
The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.
Ronald Fisher
Analysis
,
Rather
,
Convenient
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
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
,
Research
,
Logic
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
,
Myself
,
Opinions
Never had any mathematical conversations with anybody, because there was nobody else in my field.
Alonzo Church
Nobody
,
Because
,
Never
There exists, if I am not mistaken, an entire world which is the totality of mathematical truths, to which we have access only with our mind, just as a world of physical reality exists, the one like the other independent of ourselves, both of divine creation.
Charles Hermite
I Am
,
Mind
,
World
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
Mathematics
,
Through
,
Pure
One cannot really argue with a mathematical theorem.
Stephen Hawking
Argue
,
Cannot
,
Theorem
I think the rise of quantitative econometrics and a highly mathematical approach to risk management was the obverse of a decline in interest in financial history.
Niall Ferguson
History
,
Management
,
Risk
Statistics: the mathematical theory of ignorance.
Morris Kline
Ignorance
,
Statistics
If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.
E. T. Bell
Mathematics
,
Experience
Well, for me, the real excitement of doing physical things in films, whether you're talking about a fight scene or a stunt sequence or even a love scene, for that matter, is by necessity it has to be choreographed very much like a dance. That being said, you have to rehearse it over and over again and find a mathematical precision.
Benjamin Bratt
Love
,
Dance
,
Fight
By a combination of formal training and self study, the latter continuing systematically well into the 1940s, I was able to gain a broad base of knowledge in economics and political science, together with reasonable skills in advanced mathematics, symbolic logic, and mathematical statistics.
Herbert A. Simon
Knowledge
,
Mathematics
It is generally believed that our science is empirical and that we draw our concepts and our mathematical constructs from the empirical data. If this were the whole truth, we should, when entering into a new field, introduce only such quantities as can directly be observed, and formulate natural laws only by means of these quantities.
Werner Heisenberg
Truth
,
Science
,
New
The usual approach of science of constructing a mathematical model cannot answer the questions of why there should be a universe for the model to describe. Why does the universe go to all the bother of existing?
Stephen Hawking
Science
,
Universe
,
Questions
The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
David Hilbert
Science
,
Construction
As far as I know, only a small minority of mathematicians, even of those with Platonist views, accept the idea that there may be mathematical facts which are true but unknowable.
Abraham Robinson
Small
,
Facts
,
Know
You kind of alluded to it in your introduction. I mean, for the last 300 or so years, the exact sciences have been dominated by what is really a good idea, which is the idea that one can describe the natural world using mathematical equations.
Stephen Wolfram
Good
,
World
,
You
The thing that got me started on the science that I've been building now for about 20 years or so was the question of okay, if mathematical equations can't make progress in understanding complex phenomena in the natural world, how might we make progress?
Stephen Wolfram
Science
,
Progress
,
World
Music assists him in the use of harmonic and mathematical proportion.
Vitruvius
Music
,
Him
,
Proportion
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