What happens to the shape of mathematics when you decide to rebuild its foundation from dust?
Mathematics is often imagined as a fixed, immutable landscape, but as this piece illustrates, the very foundations we build upon are sometimes better suited for a renovation. Peter Scholze and Dustin Clausen are currently attempting to replace the century-old bedrock of topological spaces with something more flexible: condensed sets. It is a fascinating look at how changing the language of a field can suddenly make the impossible seem intuitive. Whether you are a math enthusiast or just enjoy watching brilliant minds tinker with the architecture of reality, this is a beautiful reminder that even the most established truths are open to being reimagined.
Read at source: Quanta Magazine
