Infinity
Few concepts in mathematics are more fascinating or confounding than infinity. While mathematicians have a longstanding disagreement over its very definition, one can start with the notion th...
Read more
Set Theory and the Sizes of Infinity
Overview
Set theory, and its transformation of mathematician's ideas of infinity, was mainly the work of one man, the nineteenth-century German mathematicia...
Read more
Infinity
The term infinity conveys the mathematical concept of large without bound, and is given the symbol . As children, we learn to count, and are pleased when first we count to 10, then 100, and t...
Read more
Infinity
The concept of "infinity" is perhaps best approached through the concept of "the infinite." Intuitively, what is infinite has no end. If the universe is infinite--and you could travel forever...
Read more
Infinity
Infinity as a numerical concept is a description of unbounded growth rather than any attained quantity. In 1831, the German mathematician Gauss wrote that "the infinite is but a figure of spe...
Read more
Infinity in Mathematics and Logic
The notion of infinity, and the problems, both philosophical and mathematical, that arise from it have been a central concern for over two millennia. Any serious thou...
Read more
Infinity
Set Theory and the Sizes of Infinity
Infinity
Infinity
Infinity
Infinity in Mathematics and Logic