https://sguzman.github.io/marginalia/tags/continuum/Recent content in Continuum on MarginaliaHugoen-usThu, 12 Feb 2026 00:00:00 +0000https://sguzman.github.io/marginalia/posts/analysis-semantics/Thu, 12 Feb 2026 00:00:00 +0000https://sguzman.github.io/marginalia/posts/analysis-semantics/A historical and conceptual survey of what mathematicians have meant by “analysis” from the Newton–Leibniz era to the present. The essay traces how analysis shifted from a general method of discovery contrasted with synthesis into a distinct discipline centered on limits, continuity, infinite processes, and the continuum. It follows key semantic pivots driven by calculus, the rise of the function concept, the 19th-century program of rigor (Cauchy, Weierstrass), and later expansions into complex, Fourier, functional, and modern applied/abstract analysis, highlighting how boundaries with algebra, geometry, topology, probability, and computation repeatedly blurred and re-formed.