Articles with tagged Cantor

are there bigger infinities

Are There Bigger Infinities

A crucial concept in mathematics. Nov 14, 2013 ... Infinite sets are not all created equal, however. There are actually many different sizes or levels of infinity; some infinite sets are vastly ... [ReadMore..]

infinities bigger than other infinities

Infinities Bigger Than Other Infinities

Oct 16, 2017 ... As Hazel says to Augustus, 'Some infinities are bigger than other infinities … There are days, many of them, when I resent the size of my ... [ReadMore..]

bigger and smaller infinities

Bigger And Smaller Infinities

Read 28 answers by scientists to the question asked by Geng Ouyang on Oct 31, 2016 Why are there smaller (bigger) infinitesimals and bigger (smaller) infinities in our mathematics? So many people say [ReadMore..]

different infinities

Different Infinities

infinity, the concept of something that is unlimited, endless, without bound. The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655. Three main types of i [ReadMore..]

different size infinities

Different Size Infinities

Jan 21, 2013 ... Cantor's theorem tells us that given a set there is always a set whose cardinality is larger. In particular given a set, its power set has a ... [ReadMore..]

mathematical infinity

Mathematical Infinity

Georg Cantor was the genuine discoverer of the Mathematical Infinity, and whatever he claimed, suggested, or even surmised should be taken seriously -- albeit not necessary at its face value. Because [ReadMore..]

list of infinite ordinals

List Of Infinite Ordinals

In common usage, an ordinal number is an adjective which describes the numerical position of an object, e.g., first, second, third, etc. In formal set theory, an ordinal number (sometimes simply calle [ReadMore..]