https://fountain.fm/episode/svigMJ9xoyu5hbeIzLsD
Motivating the math is a central focus on the RockPaperBitcoin podcast but it needs its own home.
nostr:npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 and nostr:npub12eml5kmtrjmdt0h8shgg32gye5yqsf2jha6a70jrqt82q9d960sspky99g have done just that.
They are going to teach math to anyone interested in their personal sovereignty with a focus on cryptography.
I like what you guys are doing with this. I have some feedback on a few things, but a bit lazy to write them up. One small note though, in the convsersation about fields represented as equivalence classes (remainders), someone said something like “0 is not in the field,” and just wanna point out that it is. My autism had to post this, sorry 😅
You aren’t the first to point out my mistakes. I’m gonna have an Errata section to address these . I appreciate you telling me.
Fact is I’m an amateur but no professionals are volunteering for the job so we gotta deal with me.
Haha ok. Hey, I’m no wizard either. Didn’t wanna come off as an aktually reply guy…
Think it also mighta been cool to define simply what isomorphisms are (generally, and then of groups, and fields in particular), and then bring it back to this group group of remainders/cosets (represented by sets of numbers) as a canonical representation, if that makes sense. My two ϟ 🤷♂️
I was also told that rationals can be continuous - because they are dense / - I’m going to let people know what the feedback is without stating any further assertions.
Funny, I had a comment about that too 😂
I don’t know about the assertion above that they’re “continuous”, but it had to do with a comment on expanding to real numbers. Interestingly, they can be constructed rigorously from special SETS of rationals (look up Dedekind Cuts), which is pretty cool and sorta parallels the construction of the aforementioned fields as sets of remainders (kinda)
The point was to show Z/NZ as a
Number system like naturals or the reals.
I only first studied real analysis this summer:
