Proofs based on diagonalization help reveal the limits of algorithms
Here&#x27;s a nice video that digs into the general structure of diagonalization arguments:
<a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=dwNxVpbEVcc">https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=dwNxVpbEVcc</a><p>It&#x27;s a really neat way to see a shared core between seemingly-separate topics:<p><pre><code>    - Gödel&#x27;s Incompleteness Theorems,
    - Cantor&#x27;s Theorem,
    - Russell&#x27;s Paradox,
    - The Halting Problem,
    - The Y Combinator!,
    - etc.</code></pre>