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Harmonic
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Harmonic
@HarmonicMath
Building Mathematical Superintelligence
harmonic.fun
Joined January 2024
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  • Pinned
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    Harmonic
    @HarmonicMath
    Nov 30, 2025
    Many of us intuitively feel that the field of mathematics is going to change, so let's unpack the likely outcomes, without resorting to hyperbole or doomerism.
    101K
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    Harmonic
    @HarmonicMath
    Jul 8
    verified codegen is inevitable it's the only solution to ubiquitous, cheap, and ever-improving offensive cybersecurity capabilities
    18K
  • user avatar
    Harmonic
    @HarmonicMath
    Jul 8
    From @emilyriehl on the #aboutlogic podcast (w/ @DenizPhiMa): "I much prefer to interact with an autoformalisation agent than a large language model in discussing mathematics, because the large language models will feed you a lot of bullshit ..." "I came up with my own
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    Deniz Sarikaya
    @DenizPhiMa
    Jul 2
    We are very happy that Emily Riehl @emilyriehl joined or little podcast #aboutlogic and talked about higher categories, synthetic mathematics, formalization and much more. youtu.be/4MQbd5wTlI8?si…
    30K
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    Harmonic
    @HarmonicMath
    Jun 18
    🪄🧙Aristotle is the mathematician's super-assistant Check out how @LorenzoLuccioli uses Aristotle to develop new results in algebraic combinatorics
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    Lorenzo Luccioli
    @LorenzoLuccioli
    Jun 17
    Happy to share that our paper “Mapping Uncharted Symmetries: Machine Discovery in Combinatorics” has been accepted to the ICML 2026 AI4Math Workshop. We study AI for discovery in algebraic combinatorics, with verification in @leanprover using @HarmonicMath’s Aristotle. 1/11
    18K
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    Harmonic
    @HarmonicMath
    Jun 18
    The negation of Erdos unit distance conjecture, now formalized by Aristotle You can try it for free at aristotle.harmonic.fun
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    Alex Kontorovich
    @AlexKontorovich
    Jun 15
    Oh and Kim Morrison used Claude + Aristotle + Codex to formalize the negation of the Erdos unit distance conjecture: github.com/kim-em/erdos-u… It's nice to see that this was built on top of PNT+; so despite the fact that we haven't been able to upstream it to Mathlib (the Residue
    17K
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    Harmonic
    @HarmonicMath
    Jun 18
    JUST IN: Aristotle claims the top spot in lean-eval, the Lean AI formalization leaderboard! Aristotle is getting stronger and more capable by the day, try it out for your formalization needs.
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    53K
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    Harmonic
    @HarmonicMath
    Jun 18
    Source: lean-lang.org/eval/
    4.7K
  • Harmonic reposted
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    Lorenzo Luccioli
    @LorenzoLuccioli
    Jun 17
    Happy to share that our paper “Mapping Uncharted Symmetries: Machine Discovery in Combinatorics” has been accepted to the ICML 2026 AI4Math Workshop. We study AI for discovery in algebraic combinatorics, with verification in @leanprover using @HarmonicMath’s Aristotle. 1/11
    25K
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    Harmonic
    @HarmonicMath
    Jun 13
    NOW LIVE: Ask Mode for Aristotle Agent Get real-time insights into your agent's work without interrupting its execution with Ask Mode. If you need to change direction rather than just ask questions, Instruct Mode is still active to let you steer mid-run. Try it out and let us
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    5.1K
  • user avatar
    Harmonic
    @HarmonicMath
    Jun 9
    Formal verification is the future of crypto
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    Derek
    @dhsorens
    Jun 5
    We at Protocol Snarkification - me and @alexanderlhicks, plus about 30 or so external collaborators - are working hard with formal verification to ship the highest-assurance zkVMs possible. (see end of thread for collaborators) (1/n)
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    5.7K
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    Harmonic
    @HarmonicMath
    Jun 9
    🔥
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    Satnam Singh
    @satnam6502
    Jun 4
    Fantastic to have Rustan Leino join us at @HarmonicMath to help advance AI ✕ mathematics ✕ verification.
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    4.3K
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    Harmonic
    @HarmonicMath
    Jun 9
    In the future, all critical software will be formally verified.
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    Vladimir Novakovski
    @vnovakovski
    Jun 5
    As we discussed with @VitalikButerin on our Fireside, formal verification is a big positive outcome from AI that will more than counterbalance the effects of AI finding new bugs. I am strongly supportive of math AI tools like Aristotle from @HarmonicMath driving this forward.
    8.1K
  • Harmonic reposted
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    Daniel Litt
    @littmath
    May 27
    Replying to @littmath
    And @PietroMonticone has formalized problem 3!
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    10K
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    Harmonic
    @HarmonicMath
    May 17
    Mathematical superintelligence is nearer by the day. Wouter van Doorn presented at NYNTS how he used Aristotle to tackle an important unsolved problem in number theory. Check it out here: youtu.be/7G6B0w8Quok
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    Bartosz Naskręcki
    @nasqret
    May 14
    Today at the New York Number Theory Seminar, Wouter and Pietro were discussing their new paper. Really cool use of the AI-human feedback loop, with Aristotle as the main AI ingredient. I explained how I think formalization feels like doing the low-tech steps of algebraic
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    22K
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    Harmonic
    @HarmonicMath
    May 17
    ICYMI: A few quality of life improvements landed in Aristotle Web to make it much more interactive and responsive: ▪ Live Updates. Aristotle can now share updates while it's in the middle of a run, so that you always know what it's doing and whether it's on track. ▪
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    43K
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