The Peano Arithmetic

The Peano arithmetic is another name for the arithmetic of the natural numbers. This video is intended to be watched after the video on the natural numbers (in the playlist on Set Theory) as it builds on theory introduced there. In this video we prove that the addition law on the natural numbers is associative and commutative. We then move on to prove that the multiplication law is associative, commutative and distributive. All of this is proved using induction.

[gutzimmumdo]

great playlist as always, thanks elliot!
Do you plan on doin a classical physics playlist some day?

[jongraham]

Once again, Elliot, I think you had to choose between boring some people at times, and leaving some people behind at times. I think you have chosen wisely to move slowly and completely...trying to bring everyone along. Those who are bored can move ahead as fast as they want or move to a different video.

[johnyboy]

That's cool you're making a playlist on set theory. Logic and set theory are areas where all resources leave the details to be verified by the reader

[christianjoshtoledo]

Thank you, it really helps me in my research. hehe you're underrated

[alfredobonilla]

Hey Elliot
What friendly book on mathematical logic and set theory would you suggest to complement your wonderful input on the subject

[Harry-lncv]

Hi, I really thank you so much for you awesome video, i actually watch your video in all your playlist. Can you recommend me an easy to follow book on Analysis

[jongraham]

Now if you could just explain all the nuts and bolts of Godel's Incompleteness Theorems. ;) Keep up the good work!

[smoosq]

why no viewers? this is the fundamental
of MATH!!!