Here is a 3-paragraph summary of the blog post for mathopen.com:
**The Future of Mathematics: A New Era Takes Shape**
Mathematics has always evolved, but rarely as dramatically as it did during the nineteenth century, when the field underwent a profound transformation that scholars have compared to a second birth of the discipline. In his guest post, Jeremy Avigad reflects on this historical turning point as a way of understanding the sweeping changes happening in mathematics today. Just as mathematicians of that era had to rethink the very foundations of their craft, we may be standing at a similarly pivotal moment.
Avigad's central argument is that modern tools, particularly artificial intelligence and formal proof verification software, are beginning to reshape how mathematics is practiced, communicated, and validated. These technologies are not simply conveniences; they represent a fundamental shift in what it means to do mathematics and how the community builds and checks knowledge. The implications reach far beyond computation and touch the core of mathematical reasoning itself.
The post invites readers to think carefully and optimistically about where the field is headed. Rather than viewing these technological developments as a threat to mathematical tradition, Avigad frames them as an opportunity to make the discipline more rigorous, collaborative, and accessible. For anyone curious about the intersection of mathematics, logic, and technology, this is a thought-provoking look at how one of humanity's oldest intellectual pursuits continues to reinvent itself.