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Bertrand Russell

Profession: mathematician, philosopher.


:feathers2:

It can be shown
that a mathematical web of some kind
can be woven
about any universe
containing several objects.


:Fire:


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George Santayana
Profession: writer.


If all art aspires to the condition of music,
all the sciences aspire to the condition of mathematics.

***

It is a pleasant surprise to [the mathematician]
and an added problem
if he finds that the arts can use his calculations,
or that the senses can verify them,
much as if a composer found that sailors
could heave better when singing his songs.


:feathers2:

:Fire:


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Erwin Schrödinger
Profession: scientist.


The idea of the continuum seems simple to us.
We have somehow lost sight of the difficulties it implies ...
We are told such a number as the square root of 2
worried Pythagoras and his school almost to exhaustion.

Being used to such queer numbers from early childhood,
we must be careful not to form a low idea
of the mathematical intuition of these ancient sages;

their worry was highly credible.

:feathers2:

:Fire:


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Professor Dana Scott
Profession: mathematician.


It’s not pure intellectual power that counts,
it’s commitment.

(Source: quoted by Jon Barwise)

:feathers2:

:Fire:

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George F. Simmons

Mathematical rigor is like clothing;
in its style
it ought to suit the occasion,
and
it diminishes comfort
and
restrains freedom of movement
if it is either
too lose
or
too tight.


:feathers2:

:Fire:

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Henry J.S. Smith

Arithmetic is one of the oldest branches, perhaps the very oldest branch, of human knowledge; and yet some of its most abstruse secrets lie close to its tritest truths.

***

Poor teaching leads to the inevitable idea that the subject (mathematics) is only adapted to peculiar minds, when it is the one universal science and the one whose ... ground rules are taught us almost in infancy and reappear in the motions of the universe.


:feathers2:

:Fire:

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Leonardo da Vinci
Profession: artist, inventor.
Born 1452. Died 1519.


Mechanics
is the
paradise
of the
mathematical sciences,
because
by means of it
one comes to the
fruits
of mathematics.




:feathers2:

:Fire:

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Paul Dirac

Profession: mathematician.
Born 1902, Bristol, England. Died 1984,
Tallahassee, Florida.


Mathematics is the tool specially suited for dealing with
abstract concepts of any kind
and
there is no limit
to its power
in this field.



:feathers2:

:Fire:



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Albert Einstein
Profession: physicist.
Born 1879, Ulm, Germany. Died 1955,
Princeton, New Jersey.



The creative principle resides in mathematics.
In a certain sense, therefore, I hold it true that
pure thought
can grasp reality,
as the ancients dreamed.


:feathers2:

:Fire:

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Samuel Taylor Coleridge

Profession: poet.


From the time of Kepler to that of Newton,
and from Newton to Hartley,
not only all things in external nature,
but the subtlest mysteries of life and organization,
and even of the intellect
and moral being,
were conjured within the circle of mathematical formulae.

:feathers2:

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Henri Poincaré
Profession: mathematician


The scientist does not study nature because it is useful;
he studies it because he delights in it,
and he delights in it because it is beautiful.
If nature were not beautiful, it would not be worth knowing,
and if nature were not worth knowing,
life would not be worth living.


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Ralph Waldo Emerson

Profession: poet, essayist. Born 1803. Died 1882.



If a man is at once acquainted with the geometric foundation of things
and with their festal splendor,
his poetry is exact
and
his arithmetic musical.


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Albrecht Dürer
Profession: artist. Born 1471. Died 1528.


Geometry is the right foundation of all painting


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Gosta Mittag-Leffler
Profession: mathematician.

The mathematician’s best work is art,
a high perfect art,
as daring as the most secret dreams of imagination,
clear and limpid.
Mathematical genius
and
artistic genius
touch one another.





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"There is no sense being precise when you don't even know what you're talking about"
John von Neumann




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Johannes Kepler

Profession: scientist, mathematician. Born 1571. Died 1630.

I believe the geometric proportion served the Creator as an idea
when He introduced the continuous generation of similar objects from similar objects.


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Ibn Khaldun

"Geometry enlightens the intellect and sets one’s mind right."

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Felix Klein

Profession: mathematician. Born 1849. Died 1925.

Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.

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Morris Kline​


Profession: mathematician, author.
Born 1908, Brooklyn, New York.
Died 1992, Brooklyn, New York.

"The tantalizing and compelling pursuit of mathematical problems offers
mental absorption,
peace of mind amid endless challenges,
repose in activity,
battle without conflict,
refuge from the goading urgency of contingent happenings,
and
the sort of beauty changeless mountains present to senses
tried by the present-day kaleidoscope of events."


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