Category theory
Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of ...
Category Theory - Stanford Encyclopedia of Philosophy
Category theory is both an interesting object of philosophical study, and a potentially powerful formal tool for philosophical investigations of concepts.
What even is category theory anyway? : r/math - Reddit
What makes category theory better than other fields that try to answer similar questions, and what brought its strong prominence in math today?
What is Category Theory Anyway? - Math3ma
A category, then, is any collection of objects that can relate to each other via morphisms in sensible ways, like composition and associativity.
First published as Basic Category Theory, Cambridge Studies in Advanced. Mathematics, Vol. 143, Cambridge University Press, Cambridge, 2014.
Category theory is a toolset for describing the general abstract structures in mathematics. Paradigm. As opposed to set theory, category theory focuses not on ...
What is category theory? - YouTube
Is category theory a mathematical theory? Or something more? In this brief presentation, educational designer Paul Dancstep shares an ...
What is category theory useful for? - Mathematics Stack Exchange
Category theory is not something instead of other mathematical theories but an other and very interacting perspective.
Mindset to understand category theory - MathOverflow
The best way to learn category theory is to study other branches of mathematics that actively use categorical concepts.
A Perspective on Higher Category Theory | The n-Category Café
John's been inspiring people to go and work on higher category theory; he's been patiently explaining the basic ideas over and over again.
A Sensible Introduction to Category Theory - YouTube
Remember when I used a video with a coconut in the thumbnail to drive a stake through the heart of mathematical structure?
Category theory: online lecture notes, etc. - - Logic Matters
A selection of freely (and legitimately!) available online resources for those interested in category theory at an elementary/intermediate level.
Category Theory Illustrated - About - Abuse of Notation
A book that isn't based on solving of problems, but exploring concepts and seeking connections between them. A book that is, overall, pretty.
Category Theory for Programmers: The Preface
I'm starting by publishing this preface — which is supposed to motivate the reader to learn category theory — in hopes of starting a discussion ...
Comments: 40 pages; all comments welcome! Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Category Theory (math.CT).
Category theory, a branch of abstract algebra? - Math Stack Exchange
Category Theory is closer to abstract algebra than to other branches of pure mathematics (eg, topology, analysis, etc).
Outline of category theory - Wikipedia
Outline of category theory · Category · Functor · Natural transformation · Homological algebra · Diagram chasing · Category of sets · Concrete category.
Category theory already has an established set of tools that allow one to incorporate statistics in a way that's compatible with the considerations of logic.
Infinity Category Theory Offers a Bird's-Eye View of Mathematics
The language of ∞-categories gives mathematicians powerful tools to study problems in which relations between objects are too nuanced to be ...
With Category Theory, Mathematics Escapes From Equality
When you can exactly match each element of one set with an element in the other, that's a strong form of equivalence. But in an area of ...
Category theory
Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology.
Category theory
Book by Horst HerrlichTheory of categories
In ontology, the theory of categories concerns itself with the categories of being: the highest genera or kinds of entities. To investigate the categories of being, or simply categories, is to determine the most fundamental and the broadest classes of entities.