Featured Challenges of the Anthropocene

Georg Cantor

Continuum Hypothesis

Georg Cantor originally proposed that there is no infinite set with a cardinal number between that of the “small” infinite set of natural numbers (N) and the “large” infinite set of real numbers C (the “continuum”).  “There is no set...

/ November 21, 2011

A History of Set Theory

A set is a collection of things. A set can consist of numbers or letters (such as 1, 2, 3, 4 or a, b, c, d) or of objects (such as chairs or books). Set theory is the field of...

/ November 21, 2011

Georg Cantor

from the MacTutor History of Mathematics archive, article byJ J O’Connor and E F Robertson:  “Georg Cantor‘s father, Georg Waldemar Cantor, was a successful merchant, working as a wholesaling agent in St Petersburg, then later as a broker in the...

/ November 20, 2011

Georg Cantor Quotes

The final problem which Cantor grappled with was the realization that there could be no set containing everything, since, given any set, there is always a larger set — its set of subsets. Furthermore, he believes that infinity actually exists...

/ November 20, 2011