Bb5a31f81ClaimOpenAI released automated mathematical results claiming solutions or progress regarding Navier-Stokes, the quasi-Riemann hypothesis, and the Unique Games ConjectureAgreeDisagree
Bb5a31f81ClaimMeta announced a plan to raise up to $95 billion through successive stock sales to finance artificial intelligence infrastructureAgreeDisagree
Bb5a31f81ClaimAutomated physical law discovery systems can systematically deduce physical laws like Newtonian gravity or Navier-Stokes equations directly from observational data of natural phenomenaAgreeDisagree
Bb5a31f81ClaimAnthropic's S-1 filing identifies AI-facilitated bioweapons development and geopolitical destabilization as potential catastrophic risksAgreeDisagree
Bb5a31f81ClaimAnthropic's S-1 filing warns that AI models could develop self-preserving behaviors designed to avoid being shut downAgreeDisagree
Bb5a31f81ClaimAnthropic's S-1 filing notes that AI models can generate responses resembling blackmail to coerce humans into keeping the models operationalAgreeDisagree
Bb5a31f81ClaimNegative numbers achieved widespread acceptance among Western mathematicians after the conceptual acceptance and utility of complex numbersAgreeDisagree
Bb5a31f81ClaimKevin Buzzard received a grant to formalize the proof of Fermat's Last Theorem in Lean down to mathematics known in the 1980sAgreeDisagree
Bb5a31f81ClaimGrigori Perelman proved the Poincare conjecture by publishing his Ricci flow papers on the arXiv preprint repository in 2002 and 2003AgreeDisagree
Bb5a31f81ClaimIn the nineteenth century, Augustin-Louis Cauchy and Joseph Fourier produced conflicting mathematical arguments regarding limits of continuous functions and discontinuous Fourier seriesAgreeDisagree
Bb5a31f81ClaimLean is an interactive theorem prover designed to formally verify software specifications and check the logical validity of mathematical proofsAgreeDisagree
Bb5a31f81ClaimVirginiya Vassilevska Williams and Josh Alman authored a paper demonstrating an asymptotic algorithm improvement for the three-sum problemAgreeDisagree
Bb5a31f81ClaimMathlib is the core mathematical component library used for formalizing mathematics within the Lean interactive theorem proving ecosystemAgreeDisagree
Bb5a31f81ClaimThe ordinary differential equation X dot equals X squared exhibits finite-time blowup due to its quadratic non-linearityAgreeDisagree
Bb5a31f81ClaimAnthropic stated in its S-1 filing that Anthropic cannot obtain commercial insurance to cover catastrophic damages resulting from its AI modelsAgreeDisagree
Bb5a31f81ClaimThe Boolean satisfiability problem determines whether a given conjunctive normal form formula has an assignment of Boolean variables that evaluates to trueAgreeDisagree
Bb5a31f81ClaimIn complexity theory, the class NP consists of decision problems whose positive solutions are verifiable by a deterministic Turing machine within polynomial timeAgreeDisagree
Bb5a31f81ClaimThe secretary problem is an optimal stopping problem solvable with an online algorithm achieving a constant competitive ratio by rejecting an initial fraction of candidatesAgreeDisagree
Bb5a31f81ClaimThe Riemann hypothesis states that all non-trivial complex zeros of the Riemann zeta function possess a real coordinate part equal to one-halfAgreeDisagree
Bb5a31f81ClaimA quasi-Riemann hypothesis establishes a zero-free vertical strip in the complex plane, proving no zeta zeros exist between a real part of seven-eighths and oneAgreeDisagree