Tagged articles

isomorphism

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Sep 19, 2026 · Fundamentals

Category Theory: The Mathematics of Mathematics — From Subway Maps to Code

This article introduces category theory using a subway map analogy, explaining objects, morphisms, composition, functors, natural transformations, and universal properties, showing how these abstract concepts unify mathematics and appear in everyday programming patterns like function composition and map.

Yoneda lemmacategory theoryfunctional programming

0 likes · 17 min read

Category Theory: The Mathematics of Mathematics — From Subway Maps to Code

Model Perspective

Sep 5, 2025 · Fundamentals

How Mathematics Evolved from Numbers to the Science of Structure

This article traces the historical transformation of mathematics—from ancient empirical methods through medieval axiomatization and the rise of calculus to modern structural and categorical approaches—highlighting the shift from numerical computation to a science of structures, with emphasis on geometry, group theory, and isomorphism.

group theoryhistoryisomorphism

0 likes · 8 min read

How Mathematics Evolved from Numbers to the Science of Structure