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This paper explores the relationship of artificial intelligence to the task of resolving open questions in mathematics. We first present an updated version of a traditional argument that limitative results from computability and complexity…

History and Overview · Mathematics 2024-08-08 Walter Dean , Alberto Naibo

Artificial intelligence (AI) is the name popularly given to a broad spectrum of computer tools designed to perform increasingly complex cognitive tasks, including many that used to solely be the province of humans. As these tools become…

History and Overview · Mathematics 2026-03-30 Tanya Klowden , Terence Tao

Mathematical reasoning would be one of the next frontiers for artificial intelligence to make significant progress. The ongoing surge to solve math word problems (MWPs) and hence achieve better mathematical reasoning ability would continue…

Computation and Language · Computer Science 2021-11-11 Keyur Faldu , Amit Sheth , Prashant Kikani , Manas Gaur , Aditi Avasthi

The challenges of solving complex university-level mathematics problems, particularly those from MIT, and Columbia University courses, and selected tasks from the MATH dataset, remain a significant obstacle in the field of artificial…

Computation and Language · Computer Science 2025-09-23 Eishkaran Singh , Tanav Singh Bajaj , Siddharth Nayak

As the real-world impact of Artificial Intelligence (AI) systems has been steadily growing, so too have these systems come under increasing scrutiny. In response, the study of AI fairness has rapidly developed into a rich field of research…

Computers and Society · Computer Science 2023-09-19 Maarten Buyl , Tijl De Bie

AI technology has a long history which is actively and constantly changing and growing. It focuses on intelligent agents, which contain devices that perceive the environment and based on which takes actions in order to maximize goal success…

Artificial Intelligence · Computer Science 2018-04-05 Jahanzaib Shabbir , Tarique Anwer

Machine common sense remains a broad, potentially unbounded problem in artificial intelligence (AI). There is a wide range of strategies that can be employed to make progress on this challenge. This article deals with the aspects of…

Artificial Intelligence · Computer Science 2020-06-16 Alexander Gavrilenko , Katerina Morozova

Artificial intelligence (AI) has demonstrated impressive progress in mathematical reasoning, yet its integration into the practice of mathematical research remains limited. In this study, we investigate how the AI Mathematician (AIM) system…

Artificial Intelligence · Computer Science 2025-10-31 Yuanhang Liu , Beichen Wang , Peng Li , Yang Liu

The current state-of-the-art in artificial intelligence is impressive, especially in terms of mastery of language, but not so much in terms of mathematical reasoning. What could be missing? Can we learn something useful about that gap from…

Artificial Intelligence · Computer Science 2024-03-08 Yoshua Bengio , Nikolay Malkin

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

Programming Languages · Computer Science 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao

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

Language grounded image understanding tasks have often been proposed as a method for evaluating progress in artificial intelligence. Ideally, these tasks should test a plethora of capabilities that integrate computer vision, reasoning, and…

Machine Learning · Computer Science 2019-05-28 Kushal Kafle , Robik Shrestha , Christopher Kanan

Recent progress in artificial intelligence provides the opportunity to ask the question of what is unique about human intelligence, but with a new comparison class. I argue that we can understand human intelligence, and the ways in which it…

Artificial Intelligence · Computer Science 2020-09-30 Thomas L. Griffiths

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) 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

Artificial Intelligence (AI) is one of today's most relevant emergent technologies. In view thereof, this paper proposes that more attention should be paid to the philosophical aspects of AI technology and its use. It is argued that this…

Artificial Intelligence · Computer Science 2024-07-23 Max Velthoven , Eric Marcus

Current Artificial Intelligence (AI) methods, most based on deep learning, have facilitated progress in several fields, including computer vision and natural language understanding. The progress of these AI methods is measured using…

Artificial Intelligence · Computer Science 2021-01-19 Stefan Maetschke , David Martinez Iraola , Pieter Barnard , Elaheh ShafieiBavani , Peter Zhong , Ying Xu , Antonio Jimeno Yepes

This paper addresses the question of how able the current trends of Artificial Intelligence (AI) are in managing to take the responsibility of a full course of mathematics at a college level. The study evaluates this ability in four…

Artificial Intelligence · Computer Science 2025-07-30 Mariam Alsayyad , Fayadh Kadhem

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

Artificial Expert Intelligence (AEI) seeks to transcend the limitations of both Artificial General Intelligence (AGI) and narrow AI by integrating domain-specific expertise with critical, precise reasoning capabilities akin to those of top…

Artificial Intelligence · Computer Science 2024-12-04 Shai Shalev-Shwartz , Amnon Shashua , Gal Beniamini , Yoav Levine , Or Sharir , Noam Wies , Ido Ben-Shaul , Tomer Nussbaum , Shir Granot Peled
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