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
God has given us the fascination and mystery of irrational numbers, as one aspect of a rich world — Vern Poythress 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
The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers. — Georg Cantor 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
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
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