  From 1873 to 1897, Georg Cantor worked on developing set theory, and despite
a strong initial resistance, it rapidly became accepted as the foundation of
mathematics. In this work, however, we'll demonstrate that Cantor's use of
infinity is inconsistent with Calculus. Since both the cardinal and the ordinal
numbers are to blame, we'll introduce the new infinite number $\lambda$ to
remedy this situation. By developing its arithmetical properties for each basic
operation, we'll show that infinity can be quantified with precision, and that
no set, however large, is uncountable. Moreover, by working with the number
$\lambda$, we'll resolve several long-standing paradoxes in mathematics, such
as the Riemann Rearrangement Theorem and the Banach-Tarski paradox.
