![[2412.16543] Mathematics and Machine Creativity: A Survey on Bridging Mathematics with AI](https://arxiv.org/static/browse/0.3.4/images/arxiv-logo-fb.png){kind=logo}
[2412.16543] Mathematics and Machine Creativity: A Survey on Bridging Mathematics with AI
Summary
This paper surveys the intersection of mathematics and AI, highlighting how AI can enhance mathematical research and the need for better communication between mathematicians and AI researchers.
Why It Matters
As AI technologies evolve, their application in mathematical research presents opportunities for innovation and collaboration. Understanding this relationship is crucial for advancing both fields and fostering interdisciplinary dialogue, which can lead to new methodologies and insights in mathematics.
Key Takeaways
- AI can significantly contribute to mathematical research through creative problem-solving.
- There is a gap in understanding between mathematicians and AI researchers that needs to be bridged.
- Current AI models excel in generating outputs but struggle with complex deductive reasoning.
- Reinforcement learning and large language models are pivotal in enhancing mathematical methodologies.
- Interdisciplinary collaboration can unlock new perspectives in both mathematics and AI.
Computer Science > Artificial Intelligence arXiv:2412.16543 (cs) This paper has been withdrawn by Shizhe Liang [Submitted on 21 Dec 2024 (v1), last revised 13 Feb 2026 (this version, v4)] Title:Mathematics and Machine Creativity: A Survey on Bridging Mathematics with AI Authors:Shizhe Liang, Wei Zhang, Tianyang Zhong, Tianming Liu View a PDF of the paper titled Mathematics and Machine Creativity: A Survey on Bridging Mathematics with AI, by Shizhe Liang and 3 other authors No PDF available, click to view other formats Abstract:This paper presents a comprehensive overview on the applications of artificial intelligence (AI) in mathematical research, highlighting the transformative role AI has begun to play in this domain. Traditionally, AI advancements have heavily relied on theoretical foundations provided by mathematics and statistics. However, recent developments in AI, particularly in reinforcement learning (RL) and large language models (LLMs), have demonstrated the potential for AI to contribute back to mathematics by offering flexible algorithmic frameworks and powerful inductive reasoning capabilities that support various aspects of mathematical research. This survey aims to establish a bridge between AI and mathematics, providing insights into the mutual benefits and fostering deeper interdisciplinary understanding. In particular, we argue that while current AI and LLMs may struggle with complex deductive reasoning, their "inherent creativity", the ability to genera...
