5 problems
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Gödel's independence conjecture for the continuum hypothesis
Let denote the continuum hypothesis, and let denote Zermelo–Fraenkel set theory with the axiom of choice. A statement is independent of …
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Formal representation of martingales in logical metatheorems
A martingale is a stochastic process with the defining martingale properties, and conditional expectation is the associated probabilistic operation. The conjecture concerns represe…
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The conjecture that formalizing more professional mathematics is the rate-limiting step for AI proof assistance
AI proof assistance refers to AI systems that help mathematicians develop and verify formal proofs, potentially by interacting with an interactive theorem prover. Formalization bot…
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The conjecture that AI-assisted mathematical research requires an adversarial theorem-proving process
An adversarial process is a process in which AI-generated mathematical arguments are checked by an independent formal mechanism, such as an interactive theorem prover. Interactive…
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Whether the behavioural special relativity principle implies the body–observer special relativity principle
Let denote the behavioural formulation of the special principle of relativity, and let denote the body…