Loci: Convergence
Mathematical Quotations
Our library of quotations is organized alphabetically by surname of the author.
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Abel, Niels H. (1802 - 1829)
If you disregard the
very simplest cases,
there is in all of
mathematics not a
single infinite
series whose sum has
been rigorously
determined. In other
words, the most
important parts of
mathematics stand
without a
foundation.
Abel, Niels H. (1802 - 1829)
[A reply to a
question about how
he got his
expertise:]
By studying the
masters and not
their pupils.
Abel, Niels H. (1802 - 1829)
[About Gauss's
mathematical writing
style] He is
like the fox, who
effaces his tracks
in the sand with his
tail.
Adams, John (1735 - 1826)
I must study politics and war that my sons may have liberty to study mathematics and philosophy. My sons ought to study mathematics and philosophy, geography, natural history, naval architecture, navigation, commerce and agriculture in order to give their children a right to study painting, poetry, music, architecture, statuary, tapestry, and porcelain.
Adams, Douglas (1952 - 2001)
Numbers written on restaurant bills within the confines of restaurants do not follow the same mathematical laws as numbers written on any other pieces of paper in any other parts of the Universe. This single statement took the scientific world by storm. It completely revolutionized it. So many mathematical conferences got held in such good restaurants that many of the finest minds of a generation died of obesity and heart failure and the science of math was put back by years.
Adams, Douglas (1952 - 2001)
The first nonabsolute number is the number of people for whom the table is reserved. This will vary during the course of the first three telephone calls to the restaurant, and then bear no apparent relation to the number of people who actually turn up, or to the number of people who subsequently join them after the show/match/party/gig, or to the number of people who leave when they see who else has turned up. The second nonabsolute number is the given time of arrival, which is now known to be one of the most bizarre of mathematical concepts, a recipriversexcluson, a number whose existence can only be defined as being anything other than itself. In other words, the given time of arrival is the one moment of time at which it is impossible that any member of the party will arrive. Recipriversexclusons now play a vital part in many branches of math, including statistics and accountancy and also form the basic equations used to engineer the Somebody Else's Problem field. The third and most mysterious piece of nonabsoluteness of all lies in the relationship between the number of items on the bill, the cost of each item, the number of people at the table and what they are each prepared to pay for. (The number of people who have actually brought any money is only a subphenomenon of this field.)
Adams, Douglas (1952 - 2001)
Bistromathics itself is simply a revolutionary new way of understanding the behavior of numbers. Just as Einstein observed that space was not an absolute but depended on the observer's movement in space, and that time was not an absolute, but depended on the observer's movement in time, so it is now realized that numbers are not absolute, but depend on the observer's movement in restaurants.
Adler, Alfred
In the company of
friends, writers can
discuss their books,
economists the state
of the economy,
lawyers their latest
cases, and
businessmen their
latest acquisitions,
but mathematicians
cannot discuss their
mathematics at all.
And the more
profound their work,
the less
understandable it
is.
Adler, Alfred
The mathematical life of a mathematician is short. Work rarely improves after the age of twenty-five or thirty. If little has been accomplished by then, little will ever be accomplished.
Adler, Alfred
Each generation has its few great mathematicians, and mathematics would not even notice the absence of the others. They are useful as teachers, and their research harms no one, but it is of no importance at all. A mathematician is great or he is nothing.
Aiken, Conrad
[At a musical
concert:]
... the music's pure
algebra of
enchantment.
Allen, Woody
Standard mathematics has recently been rendered obsolete by
the discovery that for years we have been writing the numeral five
backward. This has led to reevaluation of counting as a method of
getting from one to ten. Students are taught advanced concepts of
Boolean algebra, and formerly unsolvable equations are dealt with
by threats of reprisals.
Anglin, W.S.
Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere.
Anonymous
Referee's report:
This paper contains
much that is new and
much that is true.
Unfortunately, that
which is true is not
new and that which
is new is not true.
Anonymous
Defendit
numerus: There
is safety in
numbers.
Anonymous
Like the crest of a
peacock, like the
gem on the head of a
snake, so is
mathematics at the
head of all
knowledge.
Anonymous
If thou art able, O
stranger, to find
out all these things
and gather them
together in your
mind, giving all the
relations, thou
shalt depart crowned
with glory and
knowing that thou
hast been adjudged
perfect in this
species of wisdom.
Arbuthnot, John
The Reader may here
observe the Force of
Numbers, which can
be successfully
applied, even to
those things, which
one would imagine
are subject to no
Rules. There are
very few things
which we know, which
are not capable of
being reduc'd to a
Mathematical
Reasoning; and when
they cannot it's a
sign our knowledge
of them is very
small and confus'd;
and when a
Mathematical
Reasoning can be had
it's as great a
folly to make use of
any other, as to
grope for a thing in
the dark, when you
have a Candle
standing by you.
Aristophanes (ca 444 - 380 BC)
Meton: With the
straight ruler I set
to work To make
the circle
four-cornered.
Aristotle
To Thales the
primary question was
not what do we know,
but how do we know
it.
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