👉 DS Math, or Differential Set Theory, is an extension of set theory that incorporates differential structures and concepts from differential geometry and analysis. It introduces a framework where sets are equipped with differential structures, allowing for the rigorous treatment of infinitesimals and smooth functions within a set-theoretic context. This approach enables mathematicians to work with concepts like differentials, tangent vectors, and flows in a more algebraic and less intuitive manner, bridging the gap between classical set theory and modern differential geometry. DS Math provides a powerful toolset for studying geometric and analytic properties of spaces, particularly in contexts where traditional set theory might struggle, such as in non-standard analysis and certain areas of mathematical physics.
