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To assess the ability of current AI systems to correctly answer research-level mathematics questions, we share a set of ten math questions which have arisen naturally in the research process of the authors. The questions had not been shared…

Artificial intelligence (AI) is transforming the practice of science. Machine learning and large language models (LLMs) can generate hypotheses at a scale and speed far exceeding traditional methods, offering the potential to accelerate…

Artificial Intelligence · Computer Science 2025-12-18 Cristina Cornelio , Takuya Ito , Ryan Cory-Wright , Sanjeeb Dash , Lior Horesh

Artificial intelligence (AI) raises expectations of substantial increases in rates of technological and scientific progress, but such anticipations are often not connected to detailed ground-level studies of AI use in innovation processes.…

Computers and Society · Computer Science 2025-11-21 John P. Nelson , Olajide Olugbade , Philip Shapira , Justin B. Biddle

The capabilities of modern artificial intelligence (AI) as a ``scientific collaborator'' are explored by engaging it with three nuanced problems in quantum optics: state populations in optical pumping, resonant transitions between decaying…

Quantum Physics · Physics 2026-04-15 Manas Pandey , Bharath Hebbe Madhusudhana , Saikat Ghosh , Dmitry Budker

This essay examines the relationship between artificial intelligence and the historical evolution of modern Mathematics. Rather than viewing AI as an external rupture, we argue that its effectiveness reveals a structural tendency already…

Differential Geometry · Mathematics 2026-05-28 Jaime Ripoll

Recent advances in machine learning and AI, including Generative AI and LLMs, are disrupting technological innovation, product development, and society as a whole. AI's contribution to technology can come from multiple approaches that…

The artificial intelligence industry is not an isolated economic phenomenon; it is the current physical substrate for a broader, multi-billion-year process: the evolution of an abstract intelligence on Earth. As the scale of computation…

Physics and Society · Physics 2026-05-29 William Yicheng Zhu , Lei Zhu

In an effort to inform the discussion surrounding existential risks from AI, we formulate Extinction-level Goodhart's Law as "Virtually any goal specification, pursued to the extreme, will result in the extinction of humanity", and we aim…

Computers and Society · Computer Science 2024-03-12 Vojtech Kovarik , Christian van Merwijk , Ida Mattsson

The phenomenal success of physics in explaining nature and designing hardware is predicated on efficient computational models. A universal codebook of physical laws defines the computational rules and a physical system is an interacting…

Emerging Technologies · Computer Science 2021-09-14 Bahram Jalali , Achuta Kadambi , Vwani Roychowdhury

We introduce FrontierMath, a benchmark of hundreds of original, exceptionally challenging mathematics problems crafted and vetted by expert mathematicians. The questions cover most major branches of modern mathematics -- from…

The latest improvements in artificial intelligence (AI) raise new challenges for intellectual property laws, particularly concerning the inventorship issue in AI-assisted inventions - that is, those in which AI is used in the inventive…

Computers and Society · Computer Science 2026-05-19 Yevhenii Shchetynin , Duygu Usta , Bryan Khan

We argue how AI can assist mathematics in three ways: theorem-proving, conjecture formulation, and language processing. Inspired by initial experiments in geometry and theoretical physics in 2017, we summarize how this emerging field has…

History and Overview · Mathematics 2025-11-24 Yang-Hui He

The datasets and benchmarks commonly used to train and evaluate the mathematical capabilities of AI-based mathematical copilots (primarily large language models) exhibit several shortcomings and misdirections. These range from a restricted…

In their account of theory change in logic, Aberdein and Read distinguish 'glorious' from 'inglorious' revolutions--only the former preserves all 'the key components of a theory' [1]. A widespread view, expressed in these terms, is that…

History and Overview · Mathematics 2018-10-17 Andrew Aberdein

Artificial intelligence is rapidly transforming astronomical research, yet the scientific community has largely treated this transformation as an engineering challenge rather than an epistemological one. This perspective article argues that…

Instrumentation and Methods for Astrophysics · Physics 2026-04-28 Yuan-Sen Ting , André Curtis-Trudel , Siyu Yao

Kant's Critique of Pure Reason, a major contribution to the history of epistemology, proposes a table of categories to elucidate the structure of the a priori principles underlying human judgment. Artificial intelligence (AI) technology,…

Artificial Intelligence · Computer Science 2025-06-10 Jongwoo Seo

Artificial intelligence (AI) has made significant strides in recent years, yet it continues to struggle with a fundamental aspect of cognition present in all animals: common sense. Current AI systems, including those designed for complex…

Artificial Intelligence · Computer Science 2025-01-14 Hugo Latapie

In recent years, there has been a stimulating discussion on how artificial intelligence (AI) can support the science and engineering of intelligent educational applications. Many studies in the field are proposing actionable data mining…

Computers and Society · Computer Science 2022-08-24 Gianni Fenu , Roberta Galici , Mirko Marras

Despite explainable AI (XAI) has recently become a hot topic and several different approaches have been developed, there is still a widespread belief that it lacks a convincing unifying foundation. On the other hand, over the past…

Artificial Intelligence · Computer Science 2024-07-29 Martina Mattioli , Antonio Emanuele Cinà , Marcello Pelillo

Recent progress in artificial intelligence (AI) has drawn attention to the technology's transformative potential, including what some see as its prospects for causing large-scale harm. We review two influential arguments purporting to show…

Computers and Society · Computer Science 2024-01-30 Adam Bales , William D'Alessandro , Cameron Domenico Kirk-Giannini