Category theory

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/category-theory

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the founding mathematicians?Samuel Eilenberg and Saunders Mac Lane
2. What is the year of foundational work?Circa 1945
3. What is category theory and why do mathematicians call it a secret language?Category theory is a way to describe how different mathematical ideas are connected using objects and arrows. It lets mathematicians talk about many kinds of math in one common language.
4. Who invented category theory and when?Samuel Eilenberg and Saunders Mac Lane invented it in the 1940s while working on algebraic topology.

Category: A collection of objects and structure-preserving maps (morphisms) between them, satisfying associativity and identity laws.
Morphism: A structure-preserving map or arrow between objects in a category.
Functor: A mapping between categories that preserves their structure, including objects, morphisms, composition, and identity.
Natural Transformation: A way to relate two functors between the same pair of categories, essentially a 'map of maps'.