aadmaa<p>In an alternate-universe (perhaps one where the so-called leader of the still-free world is NOT bullying and terrifying my children) the Biggest Controversy of January 2025 lies at intersection of philosophy, math and physics.</p><p>Not controversial: we cannot know anything about the physical world except through experiment. </p><p>Not especially controversial: We can, however, determine a priori that some of own human ideas about the physical world can't possibly be correct.</p><p>MOST CONTROVERSIAL CLAIM OF JANUARY 2025: We can know that reality cannot be perfectly mathematical; such that identity and (by extension) mathematical properties of reality must be imperfect and emergent.</p><p>Ironic: it makes a lot of sense that in a reality where identity is impossible, things look awfully mathematical. At least, I think that makes a lot of sense. But I'm not a mathematician.</p><p>Hopeful: ain't there a mathematician in this place who can help elucidate this point? </p><p>**Mathematicians**, here's the prompt. Imagine that we've ruled out the possibility that anything in reality has the property of reflexivity. </p><p>Then the question is like Wigner's question but with a twist: why should mathematical properties *emerge* in a universe where mathematics can only be approximate? </p><p>More background if needed - <a href="https://doi.org/10.5281/zenodo.14665746" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">doi.org/10.5281/zenodo.1466574</span><span class="invisible">6</span></a> </p><p><a href="https://mathstodon.xyz/tags/philosophy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>philosophy</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/vagueness" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>vagueness</span></a> <a href="https://mathstodon.xyz/tags/physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>physics</span></a></p>