CubeRootOfTrue<p>🧩 Example: Law as a Natural Transformation</p><p>Imagine a 2-functor from:</p><p> Category of individual acts and desires (personal logic, rights)</p><p> To category of socially accepted actions (legal logic, responsibilities)</p><p>Then a natural transformation encodes:</p><p> How a society translates individual reasoning into enforceable action.</p><p> How law binds or restricts certain inferences while preserving structure (naturality condition).</p><p>That is, this commutes if η is natural — that is, doing something and then applying law is the same as applying law first and doing the translated thing.</p><p>--- oops, ChatGPT doesn't know about asking for permission vs forgiveness; I mean, it *should* commute, except for that pesky time asymmetry where you can't take back what you did. --- more context is needed ---</p><p>This models ethics, cultural norms, or constitutional constraints as natural transformations that preserve reasoning across systems.</p><p>This is why we need Judges. It's not an easy job, respect them</p><p><a href="https://mathstodon.xyz/tags/rights" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>rights</span></a> <a href="https://mathstodon.xyz/tags/responsibilities" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>responsibilities</span></a> <a href="https://mathstodon.xyz/tags/legal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>legal</span></a> <a href="https://mathstodon.xyz/tags/categorytheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>categorytheory</span></a></p>