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This is inspired by the old 'trade _ for money' posts.

I think the Anova Oven should be the default rationalist oven. It is $500, but on this community isn't usually hurting for cash.

That $500 gets you something so beyond a normal oven it's basically a different tool. It's better thought of as a largish box whose temperature you control. To see this, make scrambled eggs in it. They have a recipe in their app.

It can reliably control temperature all the way down to 77 F (25 C), making it capable of cooking almost any kind of meal. It's programmable, so longer recipes are simple to set up.

Reheating food (and making a lot) becomes trivial, and unlike a microwave there's no problems with ice staying frozen. Reheating to 150F makes almost all leftovers taste fresh.

Example of hyperfinite quantity: number of sides of a circle

reading https://ncatlab.org/nlab/show/formal+disk convinced me that there's something to my feeling that nonstandard analysis is similar to algebraic geometry.

 

formal disk ~ infinitesimal neighborhood/halo of a point ~ formal spectrum of power series, which extends prime spectra, one of the main concepts of algebraic geometry. maybe i can skip the category theory and just write out some polynomials

 

 

reading https://ncatlab.org/nlab/show/formal+disk convinced me that there's something to my feeling that nonstandard analysis is similar to algebraic geometry.

 

formal disk ~ infinitesimal neighborhood/halo of a point ~ formal spectrum of power series, which extends prime spectra, one of the main concepts of algebraic geometry. any help here appreciated

 

 

models let us conduct words, and soonish pictures

chatgpt is very micromanageable too

lawyer ~ social programmer

precedent ~ import 'precedent'

judge ~ debugger

jury ~ the actual, buggy thing that runs in the very end

jargon ~ lang syntax

Wouldn't a lawyer be more of a compiler or interpreter for the legislature/programmer?

I think it's a pretty stretched metaphor, but has some amusement value.  I disagree that the jury is the buggy thing, though.  The jury is the firmware that mediates between the justice system and the real buggy thing, which is human decisions based on fear of the justice system.

Dissection tonight at Merritt College in Oakland, building S202. 5:30-9, you can pay by paypal. 

(Something that came up yesterday, parens give the particular case.)

 

Have you spent a lot of time on a skill without a cap? (like math)?

Have you paid money for it? (math tutoring) 

 

How much?

 

How much have you paid towards a complementary unbounded skill (managing people, voice coaching). 

 

So yeah, between learning another hour of math and a voice coach, both at $~80/hour, is the marginal util of voice coach[1] way lower[2]?.

  1. ^

    Or whatever soft skill you would benefit from but don't do.

  2. ^

    way because estimates of utility are fuzzy. [don't lie to yourself.](https://www.goodreads.com/quotes/302239-above-all-do-not-lie-to-yourself-a-man-who)

fact: there is no set of all finite sets

Although there is (in the usual ZFC setting) a set of all hereditarily finite sets (finite sets whose members are hereditarily finite).

In some set theories there is a set of all finite sets, so you'd need to specify a bit further which set theory you mean.

It is a true claim for ZFC, one of the most commonly referenced set theories though.

[-][anonymous]1y10

finite set has finite number of elements. A set that includes all finite sets is a set that has infinite number of elements. Are you saying a set can't have infinite number of elements? https://en.wikipedia.org/wiki/Infinite_set. Or are you saying  a set of all finite sets is not countable?

Btw, on a separate tangent. Some of the stuff I've said are just my attempts at finding out what the colors in the color revolution means. At one point I thought black = bad, white = good, but then I realized that's not always the case. Sometimes, for some people, black = good, white = bad. Then I realized that it's context specific rather than an universal qualifier, like good/bad regarding a single quote I said or event as opposed to good/bad in terms of the overall judgement of character.

By now, I have a good guess to what each color means, but I have different confidence intervals for each color. I understand that hat is the oppose of shoes, but I don't understand anything at all what the difference between shirt color and pants color are. Not a fucking single clue. I also have no idea if shirt layering is the same as pants/underwear layering and socks/shoes layering. I know that long sleeve shirt under a regular T-shirt means the same as a shirt under an open jacket. The parts of body that each piece of clothing doesn't really matter when it comes to layering relationships, at least on the same parts of the body.

The basic process goes like this. If I see someone I know (I know them well or maybe not so well) wearing certain color, I will carefully observe if they change their clothing color next time. If they do, what is the reason. If I think they are wearing certain color because of something I said recently, I will try to say something that's the opposite of what I said to see if they will change their clothing color next time. I did this a lot when I first noticed this stuff happening around me, so mostly from 2019 to 2021. I also got confused many times regarding whether they are wearing certain color because of their own beliefs or they are just reacting to me as a judgement of recent events or general character. Now I know that this depends on the individual and their own tendencies; sometimes they are supporting something, sometimes they are responding to me, sometimes they are just living their own lives and I'm just being schizophrenic.

One way size goes seems to be:

Limited/finite, actual infinity (countable), potential infinity (uncountable/hyperfinite/compact regions).

On limited and uncountable inputs, we can define a uniform distribution naturally.

A uniform distribution on a countable set, there's no natural way to do that. So in a way, they're "bigger".

Differential games lend themselves to a hyperfinite description. You can even have turns. Each player takes an infinitesimal move, then the other goes. A hyperdiscrete approach.

Observing your opponent becomes really important, like in a fight, soccer, or a relationship 😶. I have the intuition that the OODA loop falls out of this.

There's a classic game here where you run from a lion, and the optimum is running along a harmonic spiral since it's infinitely long. What would that look like under this?

Relaxing the requirement that surreal number that left side should be less than the right side gets you "games"

Extremely based.

Related: Ends of groups: a nonstandard perspective, Journal of Logic and Analysis, Volume 3:7 (2011), 1-28.

Ends are havens in pursuit games

A while ago, I saw Dan Savage's film festival. As an intense art student ate 1000 condoms, a thought flashed. Many gears, all ticking. Click. Click. Clock.

And it hit me: every finite commutative group is a product of cyclic groups of prime power order, just like a prime factorization.

I still have no idea how that came in that context.

What can 20k USD buy, including projects?

Edit: I live in Berkeley.

[-]nim1y10

In what location and currency?

20k USD is slightly over the average annual salary for anyone in Ethiopia, for instance, so it could buy everything that an average earner there gets in a year.

I'm in rural west coast US, and 20k is in the ballpark of what I'd budget for a new building like a medium prefab garage. I spent around 10k having an asphalt roof replaced by a good-quality steel one recently, and maybe 12k all told on building out a 10,000-gallon rain harvesting system.

There are places where you can get a couple acres of land for 20k, but zoning and climate make it useful for almost nothing, and access will be bad.

Your question as you've framed it, though, gives too few hints as to what sort of answer you're seeking.

handy trick inspired by compactification: we can work with completed structures by adding endpoints and taking them away.

example: for a lattice, we can adjoin 0 and 1 as min/max elements by defining a structure where the sentences  and  are true for all  in the original structure, then do what we want, then delete 0 and 1.

handy hyperreal trick

 

take "the hilbert space" talked about in QFT. Set it to  where H is hyperfinite. Have fun. "Compact operators" fall out, and everything finitary is in there, but the whole thing isn't finite

.

late 14c., ethimolegia "facts of the origin and development of a word," from Old French etimologie, ethimologie (14c., Modern French étymologie), from Latin etymologia, from Greek etymologia "analysis of a word to find its true origin," properly "study of the true sense (of a word)," with -logia "study of, a speaking of" (see -logy) + etymon "true sense, original meaning," neuter of etymos "true, real, actual," related to eteos "true," which perhaps is cognate with Sanskrit satyah, Gothic sunjis, Old English soð "true," from a PIE *set- "be stable."

mathy interpretation of the bit about truth: (longer ~ chains are weaker) true ~~ stable ~~~ a starting point for reasoning ~ point ~ .

try using chatgpt to optimize life. they have an api too.

try giving it really specific instructions and general stuff, then the particulars.

(it = chatgpt) (ask it to rewrite this post to active tense and written in a way that's pleasant to read) (read this post like pseudocode^2, with a lot of thought about general and particular, and the fundamental ncatlab dialectic)

[wow this really may make dreamposting possible. magic =).]

ask it to consider the morality of whatever you think of

help me pls uwu.

ask it to break it down into a plan for you.

to make that plan as easy as possible

have it generate api code (if the docs were available <2022)

ask it to check its work to print out a (informal) proof or line of reasoning or whatever

tell it to think about lojban and output in lojban and then in english. make it elaborate

have it explain in 4chan style, or whatever

ask it to write out general and particular in its line of reasoning

ask it to explain "words ~ concepts ~ region of space"

ask it to rewrite bits of Dune to not drag so much

it can expand and contract text by simplification and elaboration.

reasoning is most of what you want to give it, and the particulars

L1 and L infinity norm in another way:

 

see infinity as an unlimited integer N. The max property of the infinity norm 

will still hold.