Arnauld's Paradox

From ProofWiki
Jump to navigation Jump to search

Paradox

Suppose negative numbers exist.

Then:

$\dfrac {-1} 1 = \dfrac 1 {-1}$

Thus the ratio of a smaller quantity to a larger quantity equals the ratio of the same larger quantity to the same smaller quantity.


Resolution




Source of Name

This entry was named for Antoine Arnauld.


Sources