Arnauld's Paradox
Jump to navigation
Jump to search
This theorem requires a proof..
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
Contents
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
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
When this page/section has been completed, {{ProofWanted}} should be removed from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page (see the proofread template for usage).
Source of Name
This entry was named for Antoine Arnauld.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $-1$ and $i$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $-1$ and $i$
