AI is expected to change mathematics significantly, with projects like AlphaProof focusing on proving conjectures and potentially leading to new interesting conjectures in the future.

While AI can generate novel ideas, it still needs to fully generalize beyond its current capabilities, and the challenge lies in ensuring that AI systems are safe and reliable as they become more powerful.

AI could assist in generating conjectures by identifying connections between seemingly unrelated mathematical concepts, which is a significant aspect of mathematical discovery.

AI systems like AlphaProof are on the right track and will continue to improve, suggesting that the future of mathematics could be transformed by AI.

If AI can develop a sense of viability for proof strategies, it could potentially collaborate with human mathematicians, enhancing the problem-solving process.

Modern AI shows potential for reasoning but lacks true creativity; it excels in tasks like natural language processing and coding but struggles with generating original ideas.

The challenge in AI is that while the underlying technology is evolving rapidly, it complicates product development because you have to predict where the tech will be in a year.

To create a truly innovative AI, we need systems that can ask original questions and challenge existing knowledge, rather than just regurgitating learned information.

Everyone is fascinated by AI's current capabilities and is curious about its future potential, but it's important to recognize that while AI can bring great benefits, it will also lead to significant changes and challenges in society.