nrfulton

The cool thing is that you can sometimes "retcon" an existing system using this approach

So in that case you're not even making any performance concessions; the actual running code isn't changing. You're just imposing an abstraction on top of it for the purpose of analysis. The actual running code doesn't have to change for that analysis to bear fruit (e.g., quashing a bug or just increasing understanding/confidence). That's what it sounds like Hillel did with the A,B,C example in the blog post.

Another sort of funny point is that this basic trick is most often used when performance isn't acceptable, as a way of providing a modicum of stability/debugging to an ostensibly uber-optimized system which, once deployed, turns out to be kinda fragile.

Maybe I'm missing something here, but the last type matches 2 pretty well. For example,

None of that mattered at the scope we were modeling, so we abstracted it all away: "on receiving message, nondeterministically enter state A, B, or C."

That sounds like the author is describing an NFA.

whereby we execute all the future possibilities... e.g. "amb" operator

Isn't "execute all possibilities" closer to the dual of amb than it is to amb? At least in terms of how the denotation of amb is operationalized.

But it is a good point that sometimes you want to give an actual operational meaning to a literal non-determinism operator.

"nondeterminism as abstraction" is, imo, the best example of an "FM export".

Usually you think of nondeterminism as adding complexity to a system -- concurrency, randomness, etc.

So it's kind of surprising to notice that translating a deterministic system into a non-deterministic system is often the first step people take when proving things about complicated algorithms.

Planning, optimization and reinforcement learning are the canonical examples where the reason for this step is easiest to see. These are usually very complex algorithms. You could prove things about an actual implementation, line of code by line of code, but that would be a toooon of work.

If instead you can find over-approximation `inv : State x Action -> List[State]`, and if you know that this invariant is strong enough to imply whatever other properties you want, then you just need to make sure that `inv` over-approximates the actual behavior of the underlying system (either by interrogation or by construction).

It's a very simple observation, motivated by the pragmatics of engineering proofs about complicated systems, which can have a direct impact on how you think about designing those same systems. Now that huge inscrutable models are all the rage, it's a fun little FM trick I used almost every day even though I rarely work on systems that I'd bother to formally model or verify.

My take-away from this story is almost the opposite of yours. Nature provides a lot of valuable resources, and this story is a beautiful example of how failing to properly steward our natural environment can be extremely expensive.

Instead, they were planning it, fighting bureocracy and wasting money for years.

I do not know anything about CZ or about this project, but jumping to "waste" seems excessively pessimistic.

It could just be that the agency's budget is finite and this project is low priority in the organization's capital projects prioritization. Just because they first planned this project 7 years ago doesn't mean they have been actively working on it continuously for the last 7 years...

This is common even in tiny economic units. E.g., I planned out our family's new furnace setup a couple of years ago, but probably won't actually allocate capital to that upgrade for another few years. In the meantime, I promise I am not spending all day every day thinking about our furnace. Just because a project takes 7 years from start of planning to finished project doesn't mean that there were 7 years of work there :)

If the beavers built it in two days, it means that half a dozen men could have easily built it at an extremely low cost in a week.

That really depends on what you mean by "it".

I got to watch a beaver dam go up recently. Not the active work, but regular snapshots of the build site, as it were. I will use that as a case study.

If the goal here is to literally build a beaver dam, then probably you're correct. The dam I saw go up is small and built out of pretty small trees. Maybe 3-5 inch diameter. Softer wood. I think a small group of humans with very cheap tools could make quick cheap work of felling and moving the trees.

As for the dam itself, they'd figure something out. But I am skeptical that most teams would be able to build a like-quality dam out of felled trees and found materials. Beavers are dam good at what they do.

More importantly, though, building a more typical modern human dam in that same location would not be cheap or fast. You would easily spend hundreds of thousands of dollars on cutting and blasting a path before you could even get concrete to the worksite. There's no way the entire project would be done in a week. It definitely wouldn't be low cost no matter the schedule. Getting it done in a few weeks would be... probably possible, but a logistical tour de force and astronomically expensive. This is all just talking about the actual work, ignoring government permitting entirely.

The AG's advisory is essentially a memo from the AG explaining how the AG thinks existing statute applies to a new technology. It's not new legislation or new case law, but it is worth paying attention to for various reasons.

The section of the advisory referencing disproportionate impact is quoting, nearly word for word, a portion of Cal. Code Regs. Tit. 2, § 14027.

So, this section of the advisory essentially amounts to the AG saying "using AI to do something illegal is still illegal".

That does not really answer your question, though.

What kind of standard is disproportionate impact?...

The kind that does has been codified in CA and other jurisdictions' statutes for a long while now. This means that the standard is extremely well-litigated in the state's courts, and so the answer to "what is disproportionate impact?" is, I think, something like:

"That seems complicated; there's probably a rich case law that provides clarity in some situations but also highlights areas of ambiguity in other situations. If you're in it for profit, and have any questions, get a lawyer who specializes in that area of the law to review your specific circumstance; if you're in it for civics/curiosity, start with the statute then start reading significant case law or law reviews regarding that statute."

It's also the kind of standard that can attract flame wars... hopefully not here, though ;-)

IBM | Hybrid in Cambridge, MA (Boston metro area) | Full Time | Research Engineer

The MIT-IBM Watson AI lab is hiring a Research Engineer.

Information on base salary ranges etc. can be found at the posting: https://ibmglobal.avature.net/en_US/careers/JobDetail?jobId=...

If you've been hacking on/with LLMs, please apply! The job posting casts a wide net, so please don't self-disqualify if you only check some of our boxes. Prior research experience is great but we're more interested in cool things you've built than in pdfs you've pushed through academic gauntlets :-)

Formally proving with a system based on probabilities (temperature, etc.) is for me an oxymoron. But I am not a mathematician.

In the context of automated theorem proving, proof search and proof checking could not be more different.

Proof search is undecidable for most logics. For that reason, heuristics are commonly used to guide proof search. This has always been the case; heuristic proof search predates the use of LLMs for theorem proving by decades.

Proof checking, on the other hand, is not just decidable but usually quite tractable and cheap. Therefore, proof checkers are typically deterministic and fast. Ideally the checker is also implemented in small amount of relatively simple and heavily audited code.

For a high-level description of how provers are typically architected, see https://www.pls-lab.org/en/de_Bruijn_criterion (or https://lawrencecpaulson.github.io/2022/01/05/LCF.html which is linked to at the bottom of the above page and goes into a bit more historical detail and nuance).

I am not sure if this is better than generating cooking recipes with a LLM and asking a cook if they make sense or not.

Conceptually it's not at all similar to asking a cook if a recipe is "correct". For lean proofs, "correct" has an entirely precise meaning. The "cook" (i.e., proof checker) is basically free (much less than $0.01/hr). The cook (proof checker) takes at most a few seconds to read and respond to any particular recipe. And the cook (i.e., checker) never makes mistakes.

The relationship between asking a cook if a recipe is good and asking Lean to check a proof is approximately the difference between asking a mediocre human computer to compute a derivative and asking a modern mechanical computer to do the same (using a classical algorithm for doing so, not an LLM; no one is using LLMs to check proofs -- there's really no point to doing so, because the checking problem is easy).

"There is a leisure class at both ends of the economic spectrum."

But even setting that aside, the article goes on to mention Albania (low CoL) and access to healthcare. The latter, in particular, checks out. I have great insurance, but my out-of-pocket max equals somewhere between 5 and 10 round-trips to Europe. It's not hard to imagine there exist people who can setup the circumstances such that working in the USA part of the year and living somewhere else part of the year is massively more economical than staying in the USA.

Actually, doesn't that exact situation describe a huge fraction of the US agricultural labor force?

This is an essay that lauds Cambridge, MA as a panoply of virtuous places with "limiting virtues" while at the same time decrying an "elitist" fascination with "anything goes". Lots of Cathedral energy in its architectural thesis [1].

It's one thing to point out the virtue in constraint. I don't even disagree. If the article were merely an architectural critique, I would be mostly on board. But the article doesn't stop there. It proffers a hip cafe in Harvard Square, the Cambridge library, and "one of the only choir schools in the United States!" as virtuous... while simultaneously mounting a larger critique of elite excess(?!)

So let's discuss this virtuous neighborhood.

Cambridge currently has six housing units with 2+ beds for sale on Zillow with listing prices below $800,000. None of these are single family homes, one of these listings is an error, and another is ~600 sqft. At least some of the others, I would wager, are intentionally under-priced and will go over asking. Perhaps all of them!

How is this relevant to the social/architectural thesis of the piece? Simple: what Cambridge needs is not elaborate architectural programming of constrained spaces designed by $X00+/hr architects. What Cambridge needs is a bunch of affordable boxes with programs that minimize cost of design, materials, and labor.

Leave the rarefied air of hangouts for the Actually Elite, such as the article's Faro Cafe -- a no-laptops coffee shop located in Harvard Square serving fancy cappuccinos and premium pastries to the city's tenured faculty. What you'll find beyond those cloistered enclaves is that the societal critique of this piece has a deeply flawed premise.

I suppose, if you're the personal beneficiary of a trust fund or the professional beneficiary of an institution's endowment, then the cheap "everything box" apartment seems gouache. You can have better! But the "rectangle with minimal interior subdivisions" is not primarily the architectural manifestation of Elite Liberal Individual Narcissism or whatever. It's just the cheapest way to build out an interior space that feels big enough for a family to spend time in together. Walls are expensive, and artisanally placed walls even more so!

And I suppose if you have a private office in Harvard Square or Boston's Back Bay then the coffeeshop/office combo seems like a terrible symptom of a hyper-individualized Screen Obsessed Society. But to approximately everyone else living in a place where a family of 4 will pay $4,000/mo for not enough living space, that coffeeshop/office combo is as close as you'll likely get to a private workspace.

None of this is an argument against no-laptop policies or quiet ares in libraries. But then -- the article also isn't primarily an argument for those places! If the piece didn't come with a larger thesis decrying Elite Cultural Decay while singing the praises of one of the most culturally elite and least economically affordable neighborhoods in the world, then I would've had a very different reaction.

[1] https://en.wikipedia.org/wiki/The_Cathedral_and_the_Bazaar

This is just coming up with excuses for the MTurk workers

No. The authors are not trying to study MTurk market dynamics. They are trying to compare humans and LLMs.

Both questions are interesting and useful. This study is only asking about the second question. That's okay. Isolating specific questions and studying them without a bunch of confounds is one of the basic principles of experiment design. The experiment isn't intended to answer every question all at once. It's intended to answer one very specific question accurately.

LLMs can both be worse at Mensa tasks and also better than humans at a variety of reasoning tasks that have economic value. Or, LLMs can be worse at those reasoning tasks but still reasonably good enough and therefore better on a cost-adjusted basis. There's no contradiction there, and I don't think the authors have this confusion.

The comparison in the paper is not really fair

The study is not trying to fairly compare these two methods of getting work done in general. It's trying to study whether LLMs have "abstraction abilities at humanlike levels", using Mensa puzzles as a proxy.

You can take issues with the goal of the study (like I do). But given that goal, the authors' protocols are completely reasonable as a minimal quality control.

Or, to put this another way: why would NOT filtering out clickbots and humans speedrunning surveys for $0.25/piece result in a more insightful study given the author's stated research question?

It turns out that GPT-4 does not have those problems.

I think the authors would agree but also point out that these problems aren't the ones they are studying in this particular paper. They would probably suggest that this is interesting future work for themselves, or for labor economists, and that their results in this paper could be incorporated into that larger study (which would hopefully generalize beyond MTurk in particular, since MTUrk inter alia are such uniquely chaotic subsets of the labor market).

For me, the problems with the study are:

1. The question isn't particularly interesting because no one cares about Mensa tests. These problem sets make an implicit assumption that psychometric tools which have some amount of predictive power for humans will have similar predictive power for LLMs. I think that's a naive assumption, and that even if correlations exist the underlying causes are so divergent that the results are difficult to operationalize. So I'm not really sure what to do with studies like this until I find an ethical business model that allows me to make money by automating Mensa style test-taking en masse. Which I kind of hope will ever exist, to be honest.

2. MTurk is a hit mess (typo, but sic). If you want to do this type of study just recruit human participants in the old fashioned ways.

But given the goal of the authors, I don't think applying MTurk filters is "unfair". In fact, if anything, they're probably not doing enough.

Unfortunately, it seems the authors threw out the only data that didn't support their hypothesis as GPT-4 did, in fact, outperform the median Mechanical Turk worker, particularly in terms of instruction following.

MTurk, to first approximate, is a marketplace that pays people pennies to fill out web forms. The obvious thing happens. The median Mechanical Turk worker probably either isn't a human, isn't just a (single) human, and/or is a (single) human but is barely paying attention + possibly using macros. Or even just button mashing.

That was true even before GPT-2. Tricks like attention checks and task-specific subtle captcha checks have been around for almost as long as the platform itself. Vaguely psychometric tasks such as ARC are particularly difficult -- designing hardened MTurk protocols in that regime is a fucking nightmare.

The type of study that the authors ran is useful if your goal is to determine whether you should use outputs from a model or deal with MTurk. But results from study designs like the one in the paper rarely generalize beyond the exact type of HIT you're studying and the exact workers you finally identify. And even then you need constant vigilance.

I genuinely have no idea why academics use MTurk for these types of small experiments. For a study of this size, getting human participants that fit some criteria to show up at a physical lab space or login to a zoom call is easier and more robust than getting a sufficiently non-noisy sample from MTurk. The first derivative on your dataset size has to be like an order of magnitude higher than the overall size of the task they're doing for the time investment of hardening an MTurk HIT to even begin make sense.

https://en.wikipedia.org/wiki/Nirvana_fallacy

This is a common counter-argument, and sounds reasonable on face, and is even true in the limit. But we're not anywhere close to the limit. Reminding the dear reader of the actual context clears this point up quickly:

> One favorite example is the year old video of Tesla FSD attempting to unprotected left turn thru an oncoming trolley car while the center display 3D rendered the trolley car in motion.

We're not asking for Nirvana. We're asking for not throwing up one's hands and declaring that perfect CV is impossible as one mows down pedestrians and trolley cars that one's CV system is clearly capable of identifying. For example.

No. The "effectively and efficiently" is important. It's not like you can't get the point across. It's just hard to do without lots of communication effort.

(In particular: self-driving car companies are already highly motivated to not kill children.)

For Hackers, the money quote, IMO, is the one about competing technical cultures within Software^1:

Koopman, who has a long career working on AV safety, faulted the data-driven culture of machine learning that leads tech companies to contemplate hazards only after they’ve encountered them, rather than before.

I haven't yet figured out how to effectively and efficiently communicate this mindset shift to folks educated primarily in ML culture. I am not sure I ever will. The closest I've come to an elevator pitch of the mindset shift is something like: "when human lives on the line and you're taking an absolutely massive number of samples IRL, doesn't it make sense to stop thinking in terms of analysis/probability and start thinking in terms of topology/nondeterminism? Ie, when you sample A LOT, unlikely shit happens. Manageable risks if you're selling ads I suppose. But not so acceptable if you're deciding whether a giant piece of unforgiving steel saw a bollard or your daughter."

[^1]: I read the quote-block in your post and immediately thought "Koopman". Then read the article and, sure enough, they're quoting Koopman. What a tragedy. The message was not only out there, but out there so loudly that the vague shape of the warning has a particular person's name attached to it in my mind. Yet, here we are.

All of the hackerspaces I've been to in the past 15 years are still around:

St. Louis: https://archreactor.org/

Pittsburgh: https://hackpgh.org/

Boston (albeit bummed they left their Somverville location): https://www.artisansasylum.com/

Many undergraduate-focused higher ed institutions have copied the makerspace/hackerspace model, primarily as an amenity for students. These are, in some cases, clopen to the public (sic). Public libraries have also copied the model.

Reviewing the data, AFAICT:

1. The hackerspace-as-business model largely didn't work.

2. The community-run 501(c)3 model remains viable in mid-sized cities.

3. Organizations like hacker spaces have a really hard time of it in larger cities, mostly because of rent.

4. In places that are too rural or too expensive to support hackerspaces, other institutions often provide partial solutions which are not hackerspaces per se but offer similar amenities.

Given that the primary barrier seems to be real estate, I am honestly mildly surprised that major donor hasn't tried to seed a legacy by copying the Carnegie Library formula but for hackerspaces. Seems like a much better legacy-building project than adding an extra half bajillion to a university endowment or starting yet another charter school experiment.

Oh no, nothing like that.

One team said verification and validation techniques would prevent AI systems from failing catastrophically (must've done homework on their judge...) and then there was some back-and-forth that included one of the teams reading a snippet from some arxiv paper that contained a reference to an interesting piece of work that I didn't know about.

It was fairly amusing because I had to explain that they were perhaps missing the forest for the trees with that whole exchange, but also that I had learned something new.

It's mind numbing and comes off as sophistry.

It is mind numbing. IMO it's also a fair bit of sophistry, but it's at least sophistry that involves some amount of concept compression. Ie, you can't quite unpack those concepts into a single paragraph of similar size.

Also: please remember, in these conversations, that we are talking about things written by teenagers.

Does this actually have a meaning?

Yes.

Here's a much better but slightly lossy way of saying this:

If you talk about North Korea only as a threat to be contained, then you can fall into the trap of forgetting that it's a country of humans. That could be a bad trap to fall into for a number of reasons. One reason: if you forget about your adversary's humanity then it becomes easier to commit atrocities. It's easier to "contain the communist threat" than to "fire bomb a village". Instead of rushing ahead with policy decisions that manage North Korea as an abstract security threat, we should first try to understand the various perspectives of people within North Korea.

Hopefully easier to understand.

The reason it's not pure sophistry is that there are some details I left out -- the second sentence of the original, in particular, has a fair bit of additional stuff packed into it. And the last sentence of my version is a bit over-simplified. Fully expanding everything might take a page or so; idk, I'm too exhausted to try :)

But that's the basic idea. And, more to the point, that's the level of detail at which this idea that would actually matter in 99+% of debates. So that's probably how it should be stated.

You can't learn without making mistakes, and these types of things are great teaching opportunities.

On that note: this type of writing also happens in Mathematics and especially in documentation of complicated software. We have a sequence of long sentences relating fairly abstract concepts. If the reader already understands each of those concepts and how they typically interact, then the reader can piece together the meaning of the sentences quite quickly. But for a reader without that context the paragraph is utterly inscrutable, appears to be nonsense, and takes hours to unpack.

The key observation here is about technical writing in general. Describe the basic idea without too much jargon. It's okay to remove some details and over-simplify! Then, if the reader needs more details, give the more precise statement. The expert can safely skim to the precise statement. Everyone wins. What a useful teaching tool!

Aside: I've always found public reaction to these think pieces off-putting. I think of debaters as kids learning how to engage with ideas. The incredibly public and harsh critiques of their failures seems... mean spirited. People will actually project all the ills of American politics onto something written by a kid who is making his first attempt at packing a lot of concepts into a small space. I tend to be a bit more sympathetic, since I see highly practiced professionals fail at this task all the time.

I think your experience is atypical. In most circuits, the typical judge is a parent with no particular knowledge about debate and certainly not a tabroom.com paradigm.

No, all of that is still true at most tournaments.

The author's piece is a description of the national circuit, and perhaps of a very few regional circuits that heavily overlap with the national circuit. All of her statistics are for an invite-only championship tournament (TOC) for that national circuit. Note: it's not the national championship, which does exist. It's a championship for competitors in a national circuit.

Most kids attend tournaments close to home. Not only do they not attend the TOC -- they don't even attend a national circuit tournament that would allow them to qualify for the TOC!

This piece is not about the vast majority of high school debate and is probably going to create some real headaches for people just trying to run an after-school activity.

All of the statistics in this piece are about the "Tournament of Champions". As its name implies, the Tournament of Champions is an invite-only tournament. In order to get an invitation, students need to do very well at several elite tournaments that make up a "national circuit". As the name of the circuit implies, doing well at these tournaments typically requires traveling long distances throughout the year or living in places with a large concentration of "national circuit" tournaments (ie, coasts and huge cities).

Almost all high school debaters compete close to home in regional or local circuits. "Kritiks" are far less common on these circuits, usually ineffective, and almost always used because some kid is excited about them for one reason or another.

In 15 years of judging I've judged maybe a half dozen rounds in local tournaments where an actual kritik was read, despite being one of the few judges who would be at all receptive (I don't have strong feelings either way; I just want the kids to be able to exercise their brains and explore their interests).

These facts are going to have to be explained to some irate school board member who read this piece. The explanation will come from some stressed and over-worked coach/volunteer in order to make sure their rural midwestern debate program doesn't get cut or micro-managed out of existence.

Anyways, I'll let the Harvard kids carry on with their elite infighting about how there's too much critical theory at the invite-only championship of a largely inaccessible national circuit.

But why are the organizers choosing judges who refuse to judge?

Debate tournaments happen after school or on weekends.

So you need about one adult volunteer for every two to four students. The adult needs to be willing to show up to a school for an entire evening or an entire weekend and listen to 5+ hours of high schoolers debating one another.

You can sometimes make do with fewer volunteers by using coaches as judges. But coaches also need to run the tournament, help organize volunteers, not burn out, and... well... coach.

By and large, outside of the most elite tournaments, organizers don't have the luxury of choosing judges. It's far more common to have 7 judges for 10 rounds than to have 10 judges for 7 rounds.

In retrospect, I found the actual debate part of debate to be mostly a chore. But the research and learning parts were a lot of fun. Some things I learned about in high school because of debate:

1. A lot of stuff about the actual topics that we debated. Both in substance, and also in the relevant components of federal policy tools. Eg, I still know a lot of useless facts about US agricultural policy, US foreign aid policy c. mid-2000s, statistics on realistic offshore wind production capacity c mid-2000s, etc. Contra the narrative here: the actual policy topic stuff doesn't tend to age very well...

2. How the Federal Reserve works: its history, its basic structure and mandates, the reason for its mandates, how decisions get made, how it interacts with other components of the federal government, etc. Also weekly deep dives into quantitative easing as it was being invented. Consequently, also quite a bit about the BOJ (I graduated in 2009, so my peak debate participation years were 2007-2009.)

It's very important to note here: fiscal policy was NOT the debate topic that year! The topic was alternative energy. But we could link into fiscal policy via alternative energy by arguing that green energy investments were in essence stimulative fiscal policy and would trigger inflation when combined with QE and interest rate policy. And then we could benefit from having the most up-to-date evidence about what Bernanke would do (see #6). Again, in 2008-2009. As high schoolers. Without much or any adult direction.

What other extra-curriculars let kids play these types of games?

3. Some really useful law and policy specific research skills. How to find and read proposed legislation. How the legislature actually works. How to find and read court opinions. I know this stuff sounds trivial, but I still regularly have conversations with 30-70 year olds who have never actually read a bill or SCOTUS opinions, so it's apparently not something that people learn how to do in high school, or college, or graduate school.

4. Yes, also quite a lot of critical theory. (It's part of the game and I don't get why people get so fussy about it. If the argument is bad, win. If you get an unfair judge and lose anyways, oh well. It happens and winning actually isn't the point anyways.)

5. But most importantly, lots and lots of research skills.

6. Quite a lot of natural language processing to help with 1-4, which became surprisingly relevant lately.

Policy debate has its flaws. But, at least at my high school, there was no other activity that came remotely close to providing the pedagogical opportunities available in debate. Perhaps at elite private schools or schools in the wealthiest suburbs there are good alternatives.

IME, that's still true now. This year's topic includes AI. I judged some debates this year and learned some stuff about AI by judging rounds. I'm not an expert or anything, but my PhD was at least AI-adjacent and I've been in AI labs for a good half decade now, so it was kind of surprising to learn new stuff from high school debate kids.

Anyways. I'm more convinced than ever that the kids are okay. Let them play their word games.

It seems like there should be a place for both: one where diverse literature and meta-debate is both accepted and maybe even the point (e.g. make the premise actual critical to the Ks), and another where you are expected to argue for or against a position you don’t agree with.

There are many regional circuits in this country where running a kritik is an instant loss.

Aside from that: debate and meta-debate are not meaningfully separable. If arguments are being made, then there will be an argument about how to evaluate the arguments.

Meta-debate is not unique to debates that contain critical theory. See e.g. http://open-evidence.s3-website-us-east-1.amazonaws.com/file... which is full of meta-arguments that happen when there isn't any critical theory introduced into the round.

Once you ask the question "what is fiat?" -- which becomes necessary far before any critical theory arrives on the scene -- the door is open to "perhaps pretending something happens and then evaluating the effects isn't the best way to test a resolution".

My basic thought about how academic debate should work:

1. Students should be allowed to choose their own arguments as often as possible.

2. Judges should try to be as impartial as possible and should evaluate student's arguments rather than impose their own opinion. (Pedagogic debate and non-pedagogic debate serve very different purposes. The emphasis on the student's performance rather than the judge's understanding of the world is motivated by pedagogic considerations, and obviously isn't how debates should be evaluated in the real world.)

3. The kids are fine. I promise that seeing a bit of critical theory isn't going to rot their brains.