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{{cquote|To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.}}

{{cquote|To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.}}

===Infinitesimal===

==Infinitesimal==

Inherent in the concept of infinity is the concept of [[infinitesimal]]:  infinity small. [[Archimedes]] used small numbers and areas, as in calculating the area under a parabola, but the [[Ancient Greeks]] rejected the concept of infinity.  Beginning with the 17th century, mathematicians like [[Fermat]], [[Euler]], [[Newton]], and [[Leibniz]] used the concept of infinitesimal in integrals and differentials. [[Bernhard Riemann]] used the concept of limits to develop a rigorous definition of the integral, now known as the [[Riemann Integral]].

Inherent in the concept of infinity is the concept of [[infinitesimal]]:  infinity small. [[Archimedes]] used small numbers and areas, as in calculating the area under a parabola, but the [[Ancient Greeks]] rejected the concept of infinity.  Beginning with the 17th century, mathematicians like [[Fermat]], [[Euler]], [[Newton]], and [[Leibniz]] used the concept of infinitesimal in integrals and differentials. [[Bernhard Riemann]] used the concept of limits to develop a rigorous definition of the integral, now known as the [[Riemann Integral]].

=== Infinity and economics ===

== Infinity and economics ==

The opposite of infinity is [[scarcity]], which is the focus of [[economics]].

The opposite of infinity is [[scarcity]], which is the focus of [[economics]].

== Ongoing disputes about infinity ==

== Ongoing disputes about infinity ==