The Math Tierlist.

There are a lot of fields in mathematics, each unique and useful in their own way. Surely ranking objective fields subjectively is good idea, right?

Creative Commons CC BY 4.0

In this video we will be covering

0:00 Introduction
1:04 Algebra
1:46 Number Theory
2:32 Calculus
3:58 Geometry
4:23 Statistics
5:16 Combinatorics
6:11 Recap

[TheSandkastenverbot]

I'd call this "highschool math tierlist"

[nerd]

"algebra makes sense"
group theory and abstract algebra: allow me to introduce myself

[ryantamburrino]

Annoyed combinatorics fan here! You seem to have no idea what combinatorics actually is. Cheers.

[NourMah]

The fact that linear Algebra isn’t part of this tier list is outrageous 🗿

[Elmelette]

Calculus is not a math branch and Analysis is. And you didn't talk about Topology, Set Theory, Complex Analysis, Stochastic Processes, Logic, Category Theory, Optimization, PDE, Functional Analysis, Machine Learning (an applied topic but huge)

[julioaurelio]

Calculus not in S Tier, opinion invalid.

[ExzaktVid]

How many permutation does a rubiks cube have?
Well I guess I’ll never know because combinatorics is in F tier.

[julianbruns]

Id like to give a small note to the point of naming stuff after people.
First, lets start with a quote by Hilbert: “One must be able to say at all times—instead of points, straight lines, and planes—tables, chairs, and beer mugs.” 

This was referring to Euclids Elements. The point (unintended pun) of this is, that if you use words that already have meaning outside of math, it is easy to make unstated assumptions. (For example that if two lines cross, they must have a point in common). In this sense i find it reasonable to name objects/theorems after the people that discovered them, since 1. it honors those who made contributions to the field and 2. it makes you restrict yourself to the definition/axiom actually given and not some non-rigorous intuition. Arguably, for Leibniz Notation this isn't a valid argument, but if you name almost anything after people, why stop there and make the naming pattern inconsistent again? After all, we humans are most often doing what we are in the habit of doing.


After you then disconnected yourself from the non-rigorous definition you can then build up a new intuition based on the axioms and definitions given.

For example, a mathematician would have an intuition of what it means for a (topological) space to be hausdorff or a sequence to be cauchy.

[ahasdasetodu]

Saying combinatorics can be learned in two weeks really shows you don't really know much about it

[karolissad.]

All of it is S tier, because I haven't burrowed into everyone of them, but how much I've played around with algebra, geometry, an ency weency bit of calculus and now starting to figure out combinatorics on my own, I can confidently say that they're all S tier for me. All of them you can play and mess around with and get beautiful results.

[chinmaybarje]

Bro what the fucking Combinatorics should atleast be in A. I'd give it an S but atleast A bro give it the goddamn respect man

[joshualeopior]

Topology and Logic go fully unnoticed.

[emericgent]

You didnt mention linear algebra nor group theory in the algebra category, despite it being very interesting.
Also where do you put set theory and topology in your categories ?

[veled]

Where is coding, cryptography, graph theory,

[tommys]

Stats and probability require all those tiers and require a fairly deep intuition of all of them as well

[thomaspickin]

Just for future reference it's pronounced com-BIN-atorics. Not Com-BINE-atorics.

[splooey]

"how many fields of mathematics are there"

me: "a field is a triple (F, +, *) such that..."

[avy]

Nothing new in probability theory/statistics? You have obviously never taken any higher level classes in these.

[joshdeconcentrated]

when you're in middle school and wanna make a math video:

[zkorseita]

Isn't combinatorics also colouring the chessboard (or sth similar to chessboard), invariants, graphs theorem and many, many more? You may don't like it, but don't say it's so boring