What good your beautiful proof on the transcendence of Pi: Why investigate such problems, given that irrational numbers do not even exist? — Leopold Kronecker Copy Share Image
God has given us the fascination and mystery of irrational numbers, as one aspect of a rich world — Vern Poythress Copy Share Image
The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers. — Georg Cantor Copy Share Image
“One day Plapa told us about irrational numbers, and, I remember, I cried, banged my fists on the table, and screamed, "I… — Yevgeny Zamyatin Copy Share Image
I chose the name Pi because it's an irrational number (one with no discernable pattern). Yet scientists use this irrational number to… — Yann Martel Copy Share Image
And then there is Pythagoras. The legend is that the founder of theoretical mathematics was so outraged when one of his students,… — Rebecca Goldstein Copy Share Image
Just as the introduction of the irrational numbers ... is a convenient myth [which] simplifies the laws of arithmetic ... so physical… — Willard Van Orman Quine Copy Share Image
Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc... But… — Abraham Robinson Copy Share Image
“It is shown that the golden ratio plays a prominent role in the dimensions of all objects which exhibit five-fold symmetry. It… — Richard A. Dunlap Copy Share Image
“Highly complex numbers like the Comma of Pythagoras, Pi and Phi (sometimes called the Golden Proportion), are known as irrational numbers. They… — Mark Booth Jonathan Black Copy Share Image
The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining… — Georg Cantor Copy Share Image
![“The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.” quote by Georg Cantor](https://sms4smile.com/quotes/img-quotes/c2e/georg-cantor-20252_fall_the-transfinite-numbers-are-in-a-sense-t_2548166.jpg)
![“Just as the introduction of the irrational numbers ... is a convenient myth [which] simplifies the laws of arithmetic ... so physical objects are postulated entities which round out and simplify our account of the flux of existence... The conceptional scheme of physical objects is [likewise] a…” quote by Willard Van Orman Quine](https://sms4smile.com/quotes/img-quotes/da9/willard-van-orman-quine-10137_accounts_just-as-the-introduction-of-the-irration_3191599.jpg)
