Top Tweets for #firstproof
Benchmark performance is not evidence of success, unless the benchmark itself was pre-agreed by external experts. That's why ideas like #FirstProof are so cool as LLM metrics - we are using maths to *evaluate* LLMs. Modern ML has a new notion of "rigor" 🔥
“Deep learning is alchemy” may be the most repeated criticism in AI. It also misses the mark.
Alchemy failed to deliver results. Deep learning, by contrast, has produced transformative technologies. And fields like medicine are only partially understood without being deemed alchemical.
So calling AI “alchemy” captures part of the problem, but not all of it. Modern AI is not simply undisciplined experimentation. It contains significant amounts of rigor. But we still struggle to answer basic questions:
• Do models understand?
• Why do they generalize?
• When will they fail?
The deeper issue is that rigor takes different forms—and in AI, those forms are unevenly developed.
My new paper distinguishes three:
• Conceptual rigor: coherent terminology and paradigms
• Epistemic rigor: reliable scientific understanding
• Operational rigor: reliable performance and deployment
This framework helps explain both the extraordinary progress of modern AI and the uncertainty surrounding it.
Conceptual rigor asks whether the field knows what it's talking about.
• What exactly is intelligence?
• What qualifies as AGI?
• What does it mean for a system to be aligned?
Consider the debate over whether current models are intelligent. One person points to their breadth of performance. Another points to weak planning. Another emphasizes sample inefficiency. Another asks whether it has a grounded model of the world.
They appear to disagree about one property. Often, they are evaluating four.
This is why conceptual clarity matters in practice. Questions about intelligence, understanding, AGI, and alignment do not remain confined to philosophy: they shape how things are measured, optimized, and built.
Epistemic rigor asks whether empirical success has become scientific understanding.
The paper focuses on three criteria:
• Can findings be reproduced?
• Can behavior be predicted in advance?
• Can success and failure be explained?
AI experiments are unusually reproducible in principle: code, data, and models can be copied. But conclusions may still depend heavily on random seeds, hyperparameters, implementation choices, benchmark selection, and compute budgets.
Reproducing a number is not always the same as reproducing the conclusion drawn from it.
Prediction is harder.
Scaling laws can forecast some training outcomes. Infinite-width theory can lead to more tractable settings. Classical learning theory explains important pieces. But we still lack broad principles telling us when a model will generalize, fail under distribution shift, or remain robust under adversarial perturbations.
Explanation is harder still.
Neural networks are mathematically specified, yet their learned features resist human interpretation. A behavior may arise from training data, optimization dynamics, internal representations, or interactions among all of them. The system is transparent in code but opaque in meaning.
Operational rigor is where modern AI is strongest: benchmarks, evaluations, monitoring, red-teaming, and deployment controls.
The field has become highly effective at improving systems without first obtaining a scientific theory of them. Benchmarks turn capabilities into measurable targets. Post-training shapes behavior. Tools and scaffolding compensate for model weaknesses.
Operational rigor can therefore partially substitute for scientific understanding. That imbalance defines the deep-learning era:
• Capabilities rise rapidly.
• Explanations lag behind.
• Benchmarks become optimization targets.
• New systems generate new phenomena faster than theory can absorb them.
AI is advancing while continually changing the object that science must explain.
For AI to mature as both a science and a technology, it will require all three forms of rigor:
• Clearer concepts to define our goals.
• Stronger science to predict and explain system behavior.
• Better engineering to make systems genuinely reliable.
The future of AI depends not simply on demanding “more rigor,” but on identifying which kind is missing—and understanding how the imbalance shapes what we can build, know, and control.

The second round of #FirstProof is underway. I don't have an entrant in this one, and I'm really interested to see the results! At the time of the first round four months ago, I was critical of the overhype around AI in mathematics. Things have come a long way since then, in large part thanks to GPT 5.2 -> GPT 5.5. However, mathematics is vast and any individual only knows a tiny portion of it, so it's hard for one person to gauge the broader impact. Curious to hear predictions before the results are announced (on June 10)!
The second round of #FirstProof is announced: https://t.co/GFEFlsxL3M.
Glad to see the organizers planning a rigorous process. Most AI benchmarks today still rely on the "honor system". That’s billions of valuation dollars hinging on integrity, even while there are many performance-boosting tricks that are undetectable in results (adding hints to prompts, human intervention, best-of-N, etc). For this reason, one should interpret one-off performances by proprietary models (e.g., on math contests) with a grain of salt–especially when they are carried out after solutions are already posted online.
FirstProof will be the only evaluation based on the natural distribution of research mathematics that guarantees autonomy and transparency of results. It should be considered the gold standard benchmark in the AI4Math space.
This is just the beginning for #Aletheia and autonomous math research. We’re excited to keep pushing the boundaries in AI for knowledge discovery responsibly and transparently!
Thanks to the #FirstProof team for a brilliant challenge! 🚀
Learn more about Aletheia here: https://t.co/BSvTjORG0m
Thrilled to share: #Aletheia, our math research agent, just solved 6/10 notoriously hard FirstProof problems autonomously, the best result in the inaugural challenge! To me, this is even bigger than our historic IMO-gold achievement last year; these problems challenge even top mathematicians. We share our results transparently, see paper and full thoughts in the thread. 👇

#FirstProof Challenge: #Aletheia (powered by Gemini 3 Deep Think) solved 6/10 FirstProof problems fully autonomously! Check our paper for a transparent and detailed description of the process and the evaluation:
https://t.co/Ate7Wuh3DC
#MathAI

Phew, first proof - few minor tweaks and a light aquatint ahead - but it is substantially where I wanted it to be #etching #wip #firstproof #storks #storksnesting #knepp

Always soooo exciting when the first proof of your new book arrives! Many, many #Financialthoughts #Newbook #Firstproof @ChaptersMoney

#firstproof of the new edition of Book of Squalor arrived today. So looks like video editing will be being replaced with prose editing for a couple of days.
#indiepub #supportsmallbusiness #editing #allworkandnoplay

First proof (detail) of a house print commission, bit more cutting and some collograph colour to go.
#linocutprint #linocut #linoprint #lino #commissionedart #Commission #houseprint #firstproof #get_imprinted #blackandwhite

First proof @peacockvisualarts Linocut. 90cm-90cm. #linoblock #linocutting #lino #linocut #collaboration with @vtelier #studio #workinprogress #adeadesina #printmaking #printmakingprocess #linocutprocess #aberdeen #scotland #dremalcarving #paper #printmakingstudio #firstproof
Printing prep @peacockvisualarts Linocut. 90cm-90cm. #linoblock #lino #linocut #collaboration #studio #workinprogress #adeadesina #printmaking #printmakingprocess #linocutprocess #scotland #paper #printmakingstudio #inking #linoinking #linoprinting #firstproof #aberdeen

The biggest sourdough brioche proof EVER!
#sourdough #sourdoughstarter #brioche #homebaker #homebaked #homebakedbread #homemadebread #breaddough #firstproof #risingdough #itsalive #monstrousbreaddough #rapidgrowth… https://t.co/3Mu9qU07Cj
@my19thcentury on David Berman and the strange and beautiful cacophony of memory.
“How many former lovers’ last names can you remember? How many of their middle names did you ever know?” #firstproof #davidberman https://t.co/h3dAqTSRbP
Sneaky peek at the very first proof of this new plate. Not bad, but still a few issues to sort out. #etching #firstproof #contemporaryprintmaking #architecturalgeometry #southbanklondon https://t.co/5Dw7SGihSi
Download a FREE 28-Day Trial of FirstPROOF, our prepress soft-proofing tool, to improve your workflow, reduce costs and detect errors before you get on press: https://t.co/q5T5lBQUDr
#printing #print #prepress #graphicarts #offset #flexo #firstPROOF #printer #platemaking

First proof of my new mezzotint. A bit dark but that’s better than if I had burnished too much. I love the velvety blacks though.
#mezzotint #printmaking #etching #workinprogess #WIP #firstproof

#FirstProof of bacterial MnO2 use to oxidise H2S for survival near the #DeadZone in the #BlackSea! There is an exciting new @PNASNews paper by Jan Henkel @Ostseeforschung, who discovered #Sulfurimonas marisnigri that helps with Black Sea #detox. More info: https://t.co/BbaT2AdS8C
#YesTheyCan! Erster Nachweis bakterieller MnO2-Nutzung fürs Überleben nahe der H2S-#Todeszone im Schwarzen Meer! Es gibt ein spannedes neues @PNASNews-Paper von Jan Henkel @Ostseeforschung, der #Sulfurimonas marisnigri entdeckt hat. Mehr unter https://t.co/GbrVEmaQng

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