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@wikiemol@mathstodon.xyz

2026-08-19 20:55 UTC

@tao@mathstodon.xyz I am probably a bit of a thorn with all of my comments on your posts at this point, but it is one of the only ways I can see myself having any modicum of input into the future that I will be mostly inheriting (as opposed to shaping). These analogies are being stretched too far: we desperately need more precision. You have framed the 'crisis' we are facing today as being primarily about values, rather than the truth status of what you called the (family) of capability conjectures (cc). I don't disagree with this. However, I believe you called the cc a "distraction", and called for mathematicians to redirect their focus towards values. This is where I disagree: right now there is a huge problem with framing the current 'crisis' in terms of values. Framing the crisis in terms of something so subjective has created an environment where we have a small group of mathematical oligarchs, and they are enforcing their values on everyone else, with absolutely no recourse for others (with less 'clout') to influence the direction of our field (unless the oligarchs say so). Personally, I believe these oligarchs to have mostly benevolent intentions. But thats not the point: this is not what mathematicians are meant to do or how mathematics is meant to work. I do not inherently disagree with framing things in terms of values. However, there is no (current) standard of quality or correctness with regard to these discussions in the context of mathematics. And without that standard, there will always be pushback.

Replies (1)

  • @wikiemol@mathstodon.xyz 2026-08-19 21:15

    @tao@mathstodon.xyz I only see a small number of potential solutions to this problem: 1. We do focus on discussing AI capability instead. Then there is at least some objectivity involved. Personally, I do not actually think that AI capability is far removed from the things you care about. To me, whatever AI is *not* capable of replicating are the skills that we will value in the long run. Let me put it this way: if there is nothing that an AI can't do that we can do, then an AI will eventually be able to solve this crisis for us! Do you believe that an AI can't solve this crisis for us? Then we must defend that view rigorously! 2. We try our best to adopt the standards of philosophers: double blind peer reviewed essays on the subject, rigorously drawing from the philosophical tradition (in terms of references and methods) so that we may avoid 'clout' having too much of an influence on the direction of the field. 3. Invent a new foundational paradigm for these kinds of meta-discussions. I am not sure what this would look like, but perhaps its possible.

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