The progress of mathematics can be viewed as progress from the infinite to the finite. — Gian-Carlo Rota Copy Share Image
If we have no idea why a statement is true, we can still prove it by induction. — Gian-Carlo Rota Copy Share Image
Theorems are not to mathematics what successful courses are to a meal. — Gian-Carlo Rota Copy Share Image
There is something in statistics that makes it very similar to astrology. — Gian-Carlo Rota Copy Share Image
God created infinity, and man, unable to understand infinity, had to invent finite sets. — Gian-Carlo Rota Copy Share Image
Very little mathematics has direct applications - though fortunately most of it has plenty of indirect ones. — Gian-Carlo Rota Copy Share Image
Stan Ulam was lazy, ... He talked too much ... He was self-centered ... . He had an overpowering personality. — Gian-Carlo Rota Copy Share Image
[In mathematics] There are two kinds of mistakes. There are fatal mistakes that destroy a theory, but there are also contingent ones,… — Gian-Carlo Rota Copy Share Image
It is a common public relations gimmick to give the entire credit for the solution of famous problems to the one mathematician… — Gian-Carlo Rota Copy Share Image
The lack of real contact between mathematics and biology is either a tragedy, a scandal or a challenge, it is hard to… — Gian-Carlo Rota Copy Share Image
The pendulum of mathematics swings back and forth towards abstraction and away from it with a timing that remains to be estimated. — Gian-Carlo Rota Copy Share Image
Mathematicians - for what they do - are really poorly rewarded. And it's a very competitive field, almost as bad as being… — Gian-Carlo Rota Copy Share Image
We often hear that mathematics consists mainly of "proving theorems." Is a writer's job mainly that of "writing sentences?" — Gian-Carlo Rota Copy Share Image
Our faith in Mathematics is not likely to wane if we openly acknowledge that the personalities of even the greatest mathematicians may… — Gian-Carlo Rota Copy Share Image
Are mathematical ideas invented or discovered? This question has been repeatedly posed by philosophers through the ages and will probably be with… — Gian-Carlo Rota Copy Share Image
Philosophers and psychiatrists should explain why it is that we mathematicians are in the habit of systematically erasing our footsteps. Scientists have… — Gian-Carlo Rota Copy Share Image
The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be… — Gian-Carlo Rota Copy Share Image
Every field has its taboos. In algebraic geometry the taboos are (1) writing a draft that can be followed by anyone but… — Gian-Carlo Rota Copy Share Image
Why is it that Serge Lange's Linear Algebra, published by no less a Verlag than Springer, ostentatiously displays the sale of a… — Gian-Carlo Rota Copy Share Image
Mathematics is the study of analogies between analogies. All science is. Scientists want to show that things that don't look alike are… — Gian-Carlo Rota Copy Share Image
THE COMPUTER IS JUST AN INSTRUMENT for doing faster what we already know how to do slower. All pretensions to computer intelligence… — Gian-Carlo Rota Copy Share Image
A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of… — Gian-Carlo Rota Copy Share Image
Making mathematics accessible to the educated layman, while keeping high scientific standards, has always been considered a treacherous navigation between the Scylla… — Gian-Carlo Rota Copy Share Image
Combinatorics is an honest subject. No adèles, no sigma-algebras. You count balls in a box, and you either have the right number… — Gian-Carlo Rota Copy Share Image
Every lecture should state one main point and repeat it over and over, like a theme with variations. An audience is like a herd… — Gian-Carlo Rota Copy Share
God created infinity, and man, unable to understand infinity, had to invent finite sets. — Gian-Carlo Rota Copy Share
Philosophers and psychiatrists should explain why it is that we mathematicians are in the habit of systematically erasing our footsteps. Scientists have always looked… — Gian-Carlo Rota Copy Share
The lack of real contact between mathematics and biology is either a tragedy, a scandal or a challenge, it is hard to decide which. — Gian-Carlo Rota Copy Share
The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined.… — Gian-Carlo Rota Copy Share
[In mathematics] There are two kinds of mistakes. There are fatal mistakes that destroy a theory, but there are also contingent ones, which are… — Gian-Carlo Rota Copy Share
Every field has its taboos. In algebraic geometry the taboos are (1) writing a draft that can be followed by anyone but two or… — Gian-Carlo Rota Copy Share
Running overtime is the one unforgivable error a lecturer can make. After fifty minutes (one microcentury as von Neumann used to say) everybody's attention… — Gian-Carlo Rota Copy Share
Mathematics is the study of analogies between analogies. All science is. Scientists want to show that things that don't look alike are really the… — Gian-Carlo Rota Copy Share
If we have no idea why a statement is true, we can still prove it by induction. — Gian-Carlo Rota Copy Share
Mathematicians also make terrible salesmen. Physicists can discover the same thing as a mathematician and say 'We've discovered a great new law of nature.… — Gian-Carlo Rota Copy Share
Stan Ulam was lazy, ... He talked too much ... He was self-centered ... . He had an overpowering personality. — Gian-Carlo Rota Copy Share
Combinatorics is an honest subject. No adèles, no sigma-algebras. You count balls in a box, and you either have the right number or you… — Gian-Carlo Rota Copy Share
![“[In mathematics] There are two kinds of mistakes. There are fatal mistakes that destroy a theory, but there are also contingent ones, which are useful in testing the stability of a theory.” quote by Gian-Carlo Rota](https://sms4smile.com/q/img-quotes/cbc/gian-carlo-rota-19795_failure_in-mathematics-there-are-two-kinds-of-mi_493803.jpg)
