34 Quotes by Georg Cantor

To ask the right question is harder than to answer it.

Great innovation only happens when people aren't afraid to do things differently.

A false conclusion once arrived at and widely accepted is not easily dislodged and the less it is understood the more tenaciously it is held.

Great innovation only happens when people aren’t afraid to do things differently.

Don’t always blindly follow guidance and step-by-step instructions; you might run into something interesting.

I entertain no doubts as to the truths of the tranfinites, which I recognized with God’s help and which, in their diversity, I have studied for more than twenty years; every year, and almost every day brings me further in this science.

The idea of considering the infinitely large not only in the form of the unlimitedly increasing magnitude and in the closely related form of convergent infinite series... but to also fix it mathematically by numbers in the definite form of the completed infinite was logically forced upon me, almost against my will since it was contrary to traditions which I had come to cherish in the course of many years of scientific effort and investigations.