Construction Quote by Hermann Weyl

Mathematics as we know it and as it has come to shape modern science could never have come into being without some disregard for…

— David Bressoud

Mathematics is, in many ways, the most precious response that the human spirit has made to the call of the infinite.

— Cassius Jackson Keyser

The progress of mathematics can be viewed as progress from the infinite to the finite.

— Gian-Carlo Rota

“In a way, mathematics is the only infinite human activity. It is conceivable that humanity could eventually learn everything in physics or biology. But…

— Paul Erdős

“The goal of mathematics is the symbolic comprehension of the infinite with human, that is finite, means.”

— Hermann Weyl

The infinite in mathematics is alway unruly unless it is properly treated.

— James Newman

The study of infinity is much more than a dry academic game. The intellectual pursuit of the absolute infinity is, as Georg Cantor realized,…

— Rudy Rucker

“Before the work of Georg Cantor in the nineteenth century, the study of the infinite was as much theology as science; now, we understand…

— Jordan Ellenberg

The existing scientific concepts cover always only a very limited part of reality, and the other part that has not yet been understood is…

— Werner Heisenberg

Our account does not rob mathematicians of their science, by disproving the actual existence of the infinite in the direction of increase, in the…

— Aristotle

The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in…

— Georg Cantor

“A small but typical example of how ‘philosophy’ sends out new shoots is to be found in the case of Georg Cantor, a nineteenth-century…

— Anonymous