PATREON:   / anotherroof  
CHANNEL:    / anotherroof  
WEBSITE: https://anotherroof.top
SUBREDDIT:   / anotherroof  

Visit my subreddit to ask questions — if I get enough I’ll make a 10K Q&A video.

Previous videos!
What are Numbers?    • What IS a Number? As Explained by a M...  
How to Count:    • How to Count  
How to Add:    • How to Add  

Over my previous three videos, we defined the natural numbers 0, 1, 2, 3, and so on, then explored how to use them to count and carry out basic arithmetic. What about the negatives? Fractions? Irrationals? In this video we’ll develop our understanding of numbers to include all these and more.

An enormous thank you to my Patrons. This one took me a while to make but you had my back every step of the way and encouraged me to take my time and make the video the best I can make it. If you'd like to support me and gain access to progress updates, bloopers, the Discord server where we can hang out, and have your name in the credits, please consider supporting me (link above)!

NOTES: https://anotherroof.top/s/Video4Notes...

This video is very long. Certain details had to be cut for the sake of pacing, but you can find some of those details in the notes above. You might also find other things of interest in there. I can confirm that everything you need is in the final portion of the video. And you'll need this:
anotherroof.top/taking-advice

Timestamps:

0:00:00 - Intro
0:01:33 - The Plan
0:03:33 - Preparation 1/3: New Axioms
0:05:42 - Preparation 2/3: Cartesian Products
0:10:49 - Preparation 3/3: Relations and Partitions
0:22:39 - Short Break
0:23:10 - Integers
0:39:01 - Rationals
0:55:10 - Real Numbers
1:12:23 - Complex Numbers
1:17:41 - Credits and Q&A

Comments and corrections:

-There is some audio clipping in the video. Sorry about that. I tried a new microphone placement and only realised the issue long after shooting the whole video. Tried to fix it in post to no avail. Hopefully it isn’t too distracting!

All music by Danijel Zambo.