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Gödel's Loophole (wikipedia.org)
131 points by pepys on March 25, 2021 | hide | past | favorite | 130 comments


The law is not a formal system, it's a tool for humans to decide how to act. If those humans decide they want a tyranny, no amount of words on paper could ever stop them.


I am reminded of Matt Levine's column from the day after the 2016 election, concerning legal realism:

> But in the back of my mind I thought about Llewellyn. I thought about the fact that those principles can't automatically enact themselves, that they only work if the human actors in the system choose to follow them and to demand that others follow them. They persist because the people constrained by them believe themselves to be constrained by them. The Constitution, separation of powers, religious liberty, freedom of the press, an independent judiciary, the rule of law, equality of all citizens: There is a complacent sense in America that these things are independent self-operative checks on power. But they aren't. They are checks on power only as far as they command the collective loyalty of those in power; they require a governing class that cares about law and government and American tradition, rather than personal power and revenge. Their magic is fragile, and can disappear if people who don't believe in it gain power.

https://www.bloomberg.com/opinion/articles/2016-11-09/brambl...


I actually had that in mind when I wrote the comment :).


It's a bit of both, depending on what those in power need it to be.

I think Gödel's concern was for the people who might not agree with it installing a dictator, but go "well, it's legal and it's what the founding fathers wrote" and therefore go along with it.


Dictators, in general, don't come to power unless some fairly large fraction of people actually want them to.


I've always seen that they come into power with a surprisingly small amount of support.


I think there’s a lot of ret-reconning real history: after a fascististic government loses power (as they invariably do, due to their eventual inability to secure cooperation from the intelligentsia; their own in-fighting, and general incompetence) the people who did vote for them are likely to deny it - who would admit to voting for something universally reviled after-the-fact? That then leads to an impression amongst the public that said-party had far less popular support than they actually did.


You can also look at the actual vote counts. The Nazis won about 30% of their last election before taking power. They were a minority part against the liberals.

"I don't want the nazis to come into power, but I also don't want brownshirts to assault me and my family, and I'm pretty sure I'll be OK if I keep my head down" is an understandable sentiment, if a bit cowardly.


That 30% of vote – actually in the July 1932 election it was just over 37% – was not enough by itself for the Nazis to gain power.

Hitler gained power because non-Nazi conservatives such as Hindenburg and Papen[0] installed him in power, because they thought they could control him, and because they viewed him as a lesser evil than the socialists and communists who were also jockeying for Chancellorship, and because they saw appointing Hitler as Chancellor as an end to the gridlock in the Reichstag – the result of the election was that Nazis were the largest party but did not hold a majority, but the next two biggest parties, the socialist SPD and the communist KPD, could not unite against them because the KPD was under instruction from Moscow not to cooperate with the SPD. Leading representatives of industry and finance also pressured Hindenburg to install Hitler, because they saw it as an end to the political chaos and also as a defence against the threat of the socialists and communists, who might harm those economic interests if they gained the Chancellorship.

Although Hitler only had 37% of the popular vote, he also had substantial support from Germany's elites. He gained power because he convinced the people with the power to give it to him. Of course, after the war, many of those same elites tried to pretend that their decision to give Hitler power never happened, or that Hitler had somehow forced them into it.

[0] Papen was not a Nazi at the time Hitler came to power. He naïvely thought he could control Hitler and the Nazis; after a while he learned that not only could he not control them, they could control him, but by then it was too late. And then he became a Nazi himself.


Ah, the joys of first past the post. The largest minority takes all.

Also agree with the point about elite support. Not every supporter counts equally in terms of political support. Even in democracies this is the case.


> Ah, the joys of first past the post.

Not in this case, Weimar Germany used proportional representation.

I personally think that proportional representation is superior to first-past-the-post, but actually you could argue that PR played a role in Hitler coming to power. PR systems encourage multiparty systems as opposed to two-party systems. Multiparty systems can sometimes produce great political instability when nobody has enough seats in the legislature to form the government, and then there can be weeks or months of backroom dealing to try to form a coalition government. It is a scenario which commonly occurs in a number of countries with proportional representation (such as Belgium, Italy, Israel), and it was in that same scenario in which Hitler convinced the President to appoint him to power.

(Germany now and then is a parliamentary republic, the President is a non-political figurehead, the Chancellor is formally chosen by the President but the President is supposed to choose the leader of the largest party or coalition in parliament.)


Could you say that such a system essentially devolved into FPTP in the case of the Nazi's at that time? Due to a lack of unified opposition?


I don't think so. I don't think FPTP really had anything to do with the Nazi's rise to power. FPTP is worthy of criticism but not everything bad in this world is FPTP's fault, and Nazism is an evil of which FPTP is innocent.

You could argue that the specific form of proportional representation being used – the list system – was a factor. Countries which use the list system (such as Belgium, Italy and Israel) tend to be more likely to have unstable multiparty systems than countries using milder forms of proportional representation such as instant run-off or single-transferrable vote.

After WW2, West Germany moved away from the pure list system to the current hybrid system in which voters vote both for an individual candidate and a list. That change was inspired by the lessons of the early 1930s.

The shape of the electoral system was possibly a contributing factor to the Nazi's rise to power, but it was only one factor among many. Many other countries had (and still have) the same system and yet they didn't end up with someone like Hitler in charge.


It's enough if the support has enough power to convince others to go along.


Yet we use it to reason about things, so formalizing and finding inconsistencies leaves less space for exploiting it.

Also even though math is backed by a formal system in theory, in practice no one has time to completely verify mathematicians' work bottom-up from axioms (at least until we become better at proof assistants). Ultimately it comes down to intuition and trust, i.e. these people understand the proof, and I trust them, so I think the proposition holds. And similarly in principle a large group of people can decide that they don't trust the axioms (they are arbitrary in a sense, just like laws), yet it formal methods in math are still useful.


Another way around is to water down the parts that displease your interests, or choke them up with insane process without formally violating the constitutional letter.

The Italian constitution is among the most robust and failsafe legal ground truths you can have, yet it’s been made sausages of since day-two


This is why there are checks and balances. The laws and constitutions are not rules in a game that can be exploited arbitrarily. There is an intention behind them and law is and should be interpreted in that way.

If this loophole exists it probably goes against the intention of the lawmakers and would be struck down by supreme court.


> If this loophole exists it probably goes against the intention of the lawmakers and would be struck down by supreme court.

It's Common law not French/European law. The intent of the lawmakers is, in common law, more or less completely assumed to be present in the text of the law. French/European courts looks to the context the law was made in and other documents produced; common law judges mostly don't (but do look much more to precedent.)

And there is of course the problem of judges in the US being fairly strongly partisan politicised (since all power in the US is partisan politicised), so the interpretation will depend on which party has lately stuffed the supreme court.


There's some thought that it's around presidential pardons, and it's not clear the supreme court would strike down nearly any use of them or allow the legislature to do so short of an amendment.


A despot may also pack the Supreme Court to change the rules, although the existing Supreme Court may prevent the court from being packed. I am curious what would happen if all the members of the existing Supreme Court were to suffer an unfortunate accident in this situation. edit: Of course you still need Congress to approve the nominees.


To me, this is the most obvious one. A single bomb could wipe put the entire court and in a polarized congress, the vote could go along party lines and only a majority is needed to approve.

The ruling party just needs to include a few picks from the other party to give the appearance of balance.

Bonus points: the president can then pardon the bomber.


> This is why there are checks and balances.

Should be, yes. But "are"? How sure are you about that, given the last four years?


Spoiler: the article consistently mentions that we don’t know what the loophole is, so the article is incomplete.


One postulation asserts it has to do with self-reference, which is fundamentally incomplete.


Every article is incomplete or has contradictions.


Is that a theorem?


Surely if all the legal luminaries of HN banded together we could rewrite the constitution in a statically strong typed language and formal verify it.


Considering HN, it would probably be written in Rust.


Considering HN, it would probably be written by GPT-3.


Down for it. With catala-lang.org for example.


It's without a doubt amending Article V with Article V; I don't really understand why it's thought of as some mysterious loophole lost to time. Not everything a smart man figures out has to be particularly complex.


It almost certainly involves Article V, but likely not in the trivial "amend Article V to change the 2/3 supermajority to propose an amendment to a simple majority and eliminate the requirement for 3/4 of states to ratify" sense. That would never actually be ratified as states would be loathe to give up their power.

My guess is it would first involve the creation of a considerable number of new states under Article IV and then proceed to amend Article V as above by enlisting the newly created states. The part I can't quite explain is how those states get created without dividing an existing state which requires the consent of that state's legislature.

Edit: Really, the more that I think about it, the ability of Congress to create new states by simple legislative action (so long as the territory does not come from existing states) IS almost certainly the loophole. Every new state, no matter how small, gets 1 Congressman and 2 Senators. Create enough, and you control both houses of Congress. Since the EC vote is determined by number of Congressmen + the number of Senators by state, you'd also control the Presidency. Since the number of SCOTUS justices can be changed by simple legislation, you'd now control all 3 branches of government. At that point, using Article V to amend Article V just becomes the final icing on the cake.

Edit 2: DC is not a state, and so would not be subject to Article IV constraints on making new states from existing ones. Article I Section 8 gives Congress complete jurisdiction over DC. Reserve a portion of DC as the US Capital, divide the remainder into 150 new states. I think I just found Gödel's Loophole. Or maybe I'm just "a nerd trying to solve law" as someone else posted, that's entirely possible.


This seems like much more of a loophole than just modifying Article V -- You can modify any part of the constitution via amendment, it's like root access. But your scenario here wouldn't require the "actual" states to sign off or would at least override them. Nice post!


Yeah, it strikes me that in all of these discussions about federalism, states' rights, the Senate as protector of the small states, the filibuster, the Electoral College, etc. is the implicit assumption that the number of states is fixed. But it isn't, or at least it wasn't for most of the nation's history. Even the number of states is more historical accident than grand design: Why are there two Dakotas instead of one? Why is the largest state (CA) over 68X larger than the smallest (WY)? Why do we have non-state territories that are larger than some states (PR is larger than 20 states!, DC is larger than 2)? It's all very arbitrary.


Law isn't code, and nor is a constitution, but it appears the point of the second amendment was to be a backstop against most of the things that could go wrong in such pernicious applications of the law, where if the people can revolt within the confines of the rules, you don't have to throw out the constitution and everything it built. If he found a rule that could be used to overwrite every other rule, there is the option to use popular revolt against the party who was abusing it. As they say, it's a republic, if you can keep it.


I love that Gödel's Loophole is itself incomplete. Very fitting.


The Constitution fails to describe how States are to conduct their elections for federal officers.

A group of states, for instance, could do something silly like hold an ‘election’ via mail-in ballots with no verification of citizenship, residency, etc.

So, you could have a corrupt party in charge of a handful of states take over the Presidency, Senate, and House. And, from that point, it’s a trivial matter to pass legislation ensuring that party’s perpetual power, whether it be through grants of amnesty to millions of non-citizens, or federal laws requiring a method of voting that favors the party, etc, etc.

But, these things could never actually happen, of course.


So what was Austria's loophole?


There seems to be a lot of dismissal in this thread about the consequences of a Constitutionally-legal road to dictatorship.

The historical precedent to this concern is the Nazification of Germany. After Hitler was appointed chancellor, the Enabling Act[1] was passed as an amendment to the constitution. This gave Hitler the power to pass unconstitutional laws without parliamentary or presidential approval.

I think the possibility of iterative erosion of Article V such that the the entrenched clause that protects the composition of the Senate from change without unanimity can be removed is very comparable. This is concerning in an age where a once-majority party has been largely supportive of a figure who's displayed dictatorial tendencies.

[1] https://en.wikipedia.org/wiki/Enabling_Act_of_1933


Jill Lepore discussed this in her New Yorker article when discussing Linda Colley's new book, The Gun, the Ship & the Pen.

https://www.newyorker.com/magazine/2021/03/29/when-constitut...


Incorporate core rights of the UN Universal Declaration of Human Rights into the body of the Constitution ensuring, as Article 30, that any attempt to weaken or remove any of these rights automatically invalidates the entire Constitution. This makes it too legislatively burdensome to weaken and would unequivocally signal a coup is taking place.


I'm pretty sure the current constitution is in direct conflict with at least some of the UN's stuff, so I doubt that would work at all.


There is no need for a loop hole. A president can do plenty of illegal things without consequences already. Incrementally do it while the public becomes numb to it, or worse, while vocal supporters becomes more nad more entitles, and you get to a dictatorship.


The Wikipedia article about it mentions using Article V against itself, slowly erroding it and the Constitution. That doesn't seem like the loophole Godel might be concerned about. if he did find something more concerning then given his skills this looks like nearly perfect security by obscurity.


I agree with that. If a logician like Gödel talked about an "inner contradiction", then I'm inclined to believe he really thought he had spotted a contradiction, not just some way of slowly eroding an article.


I suspect such loopholes exist in other constitutions, constitutions like source codes have influenced other constitutions.

Most recent small example in this area : Government of India used article 370 to ammend article 367 which again affected article 370 to change status of Jammu and Kashmir.


No tempaccount99, that would be a regular amendment. Not a fascist dictatorship-ish "loophole"


No it's not a regular amendment, as tempaccount99 explained.

More here -

https://www.business-standard.com/article/economy-policy/kas...


I might have heard that in Godel's library there was a book with the note: "I have a truly marvelous proof that the U.S. Constitution is unstable, but the margin of this book is too small to write it out."

More seriously, this is actually a bit reminiscent of Fermat's famous comment. I suppose when the lawbots become operational in a few years, we'll get a full logical analysis of the Constitution and find the loophole(s).


Godel's loophole is technicality of minor importance if its entirely confined to the constitution. The real loophole likely relates to presidential powers in relation to constitution itself: the expansion of executive in 20th century and executive orders that have not been found contradicting the law, might allow a precedent to create an "emergency powers" system to bypass constitution itself and rule by decree('executive orders').


What if the loophole is bigger and allows a individual congressperson to make a law or something?


The Constitution is already a pile of incoherent contradictions. There's no way a computer program could formally analyze it.


Uhm but wouldn’t that be a halting problem?


How is it the halting problem?


How is constitutional law subject to Goedel's Incompleteness Theorem?

Everything is computer science, or at least linearly transformable into computer science.


halting problem doesn't say you can't prove a program halts;

it says you can't write a program to prove every program halts (or doesn't), because you can construct pathological programs to intentionally foil it.

you can certainly prove some programs halt, or don't.

    int main(){
       return 0;
    }

    int main(){
       while(true){}
    }
and presumably, the constitution has not been written in such a way that it cannot be proven halt-able, one way or the other. In which case, it's finite, and all paths can be evaluated


What if Gödel never actually found a loophole but simply intentionally left behind a cryptic puzzle, with the influence of his celebrity friends, so that future generations will keep scrutinizing the constitution, watching it for dangerous changes?


Even simpler: What if Gödel never actually found a loophole? The only source we have is Morgenstern recounting an anecdote more than twenty years later. He may well have misremembered/misunderstood/taken out of context/embellished some remark that Gödel made. It makes for a good anecdote, but that doesn't make it true.


This is the prototypical "wow the nerd tried to solve law and lawyering". Yes, the constitution can be ammended to be less democratic. It can also be entirely ignored by everyone, and things can also happen in ways that go against its text, with judges looking the other way!

People are not magically bound by words on a piece of paper, so if you end up being able to go through the (extremely arduous! Moreso than many countries) ammendment process successfully you probably have enough popular support to do whatever you would want in any universe, even with a stricter requirement.

It's embarassing that this anecdote is given almost any weight. It's absolutely the most navel-gazing useless analysis. It does help to serve as an excellent counter-argument to "philosopher kings", though....


Wow, that's overly agressive. If you read the article, the story goes that upon asking him what government his native Austria had, Gödel commented "It was a republic, but the constitution was such that it finally was changed into a dictatorship." The judge commented that this could not happen in the U.S., and Gödel responded "Oh, yes, I can prove it".

I don't see how you jump from this, to saying that Gödel, who was a very smart person, childishly believed that words on paper were universally enforceable to their logical consequences. I'm sure he was aware of the existence of courts...


The point is that there is a system, with feedback loops.

The point is NOT that the system is somehow immaculate and incapable of drifting into instability.

Indeed, the concentration of power in the hands of the few we see about us is, arguably, the rejection of representative systems developed in the last several centuries in favor of historical authoritarian approaches.

Sweet, sweet panem et circenses => https://en.wikipedia.org/wiki/Bread_and_circuses


> in favor of historical authoritarian approaches.

I don't think history is a linear progression from authoritarianism to representative government.


It's more often a progression from authoritarianism to representative government and back to authoritarianism.

"Law is what should happen. Politics is what does happen."


Law is very often a reaction to what has happened: https://en.m.wikipedia.org/wiki/Hard_cases_make_bad_law


A cogent argument.

Are you arguing the linearity, or the degree to which any governments in view represent much beyond the whims of the authoritarians?


I've noticed that many commenters on this insightful orange website like to bash on strawmen extrapolated from the headline or intro paragraph. They seem to think that this will make them come across as a critical thinker.


> It's embarassing that this anecdote is given almost any weight. It's absolutely the most navel-gazing useless analysis. It does help to serve as an excellent counter-argument to "philosopher kings", though....

Damn dude, it's just a funny anecdote, no one is claiming it's a national security threat or anything like that.

There was no analysis involved, Gödel found it while studying for something else.

It's a super small wikipedia article for an amusing story, who said anything about solving law? If there is a contradiction on the Constitution I don't know why would it be a wrong thing to, at the very least, address it.


Parent comment:

> Damn dude, it's just a funny anecdote, no one is claiming it's a national security threat or anything like that.

Sibling to parent comment:

> Wow, you're seriously underestimating this issue. [followed by long analysis on how other constitutions feel they need to solve this very serious issue]


Compromise: Funny annecdotes are serious business, the sardonic top comments lack good humor.


Agreed. I also find it amusing that there were two other brilliant minds who heard the explanation and thought nothing of it. No one seems to mention that very much. Perhaps politics and logic don't really go hand in hand.


Of course they do. Logic as in reasoning isn't the same as a formal logical system. Law isn't a formal logical system. That's why computation law has been so difficult. Human beings aren't automatons.


Wow, you're seriously underestimating this issue. For instance, the German constitution ("Grundgesetz") has an eternity clause in it that makes it unconstitutional to remove the basic principles in Articles 1 and 20. Many other modern constitutions have such clauses.[1] By the way, Article 4, paragraph 4 in the German constitution states: " All Germans shall have the right to resist any person seeking to abolish this constitutional order if no other remedy is available."

If constitutional assemblies worry about things like that, it's not as silly as you put it for Gödel to have wondered about not having such features in the US constitution at a time just after WW2.

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

Edit: Not a minor nitpick. Article 1 AND 20. Fixed!


> For instance, the German constitution ("Grundgesetz") has an eternity clause in it that makes it unconstitutional to remove the basic principles in Articles 1 and 20.

It is unconstitutional, by the old constitution standards', but the new regime can just ignore it and call it a day (we're talking about a fascist takeover here).

> paragraph 4 in the German constitution states: " All Germans shall have the right to resist any person seeking to abolish this constitutional order if no other remedy is available."

that's cute, but do you think it would change anything if Myanmar's constitution had included such clause? Do you think it would stop the military from shooting protestors?

Laws, and constitutions, are useful, but in the end: politics is about power, not laws.


Power is a continuum, not a binary. A foundational element in politics is the use of narratives to influence behaviour.

You can't stop a bullet with a piece of paper. But what's written on the paper can persuade a would-be shooter that the cost of their actions is likely to outweigh the benefits - because it legitimises and encourages counter-actions and severe penalties.

The efficient way to maintain power is by controlling what people believe. It's a lot less effort and mess than trying to torture and murder everyone who opposes you.


> Politics is about power, not laws.

This, exactly. I think constitutional guardrails are an effect, not a cause, of healthy democracies. If there is political will to do something bad the law can always be abrogated, edited, reinterpreted or circumvented. The existence of a loophole isn't surprising. The existence of a law without them would be.

(Same applies, mutatus mutandis, to smart contracts.)


> that's cute, but do you think it would change anything if Myanmar's constitution had included such clause?

Perhaps not, but Myanmar isn't full of Germans.

> Laws, and constitutions, are useful, but in the end: politics is about power, not laws.

The power to make people behave in a certain manner. Laws are quite effective at that.


OP's point is that you can write anything in the constitution - that it can never be changed, or whatever - but that's of no value whatsoever, if a large majority of people agree and decide that it's an invalid document.


That's a corner case, though. Anything is possible if you can get enough people to simultaneously adopt a new intersubjective[0] belief.

In reality, changes in laws happen when a small group supports them and, small opposition notwithstanding, vast majority of people do not care. One of the easiest ways to make the majority care - and oppose you - is to push your changes in a way that violates existing legal framework, particularly important things like a constitution. As long as you don't do that - as long as you take things slow and don't raise people's alarms - you can boil the proverbial frog.

That's what these clauses are meant to protect from. A series moves, planned or accidental, that could turn the country into dictatorship.

--

[0] - I.e. the kind that's valid as long as enough people believe enough other people believe it's valid. Like a constitution. Or money.


I think this is overlooking the larger issue: in these scenarios there are powerful groups that plan to turn the country into a dictatorship, and that's really the bit to worry about.

You cannot simply write down a law prohibiting becoming a dictatorship and then sit back thinking all will be fine, because then these groups will simply grow their power until they can ignore the bits of the law they don't like. And they don't need to change the law to gain power, they merely need acceptance of their telling of events.

On the other hand, without extensive support you cannot create a dictatorship because that word implies such extensive societal control that there simply must be extensive power behind it for it to function at all.


That's not how constitutional law works, though. Even if someone seizes power by force, the apparent constitutionality of their reign or lack thereof has many implications in international law and for the recognition of the new government, as well as for retrospective assessments, including the validity of the laws enacted by the regime. Dictators put great efforts in making their reign at least look constitutional.


International law is even more an afterthought for status quo than national constitutions. Noone is really bound by it unless it crosses a handful of powerful national actors with the guns. And countries recognizing governments unrecognized by others is common. Happened multiple times this side of the millennium.


And fundamentally that is to preserve existing institutions of legalities, so that the dictator can wield the power of the state and not have the state itself dissolve.


France, for example, has gone through many different constitutions (the current one is from 1958). I don’t think they’re unique in changing up their foundational texts (and don’t forget places like the UK, that have no constitution, and rely on norms)

But my point was mainly around popular movements. Not going to comment on international judgement in these circumstances


We... several different constitutions. The current one is called the Fifth Republic. The Third Republic ended when Germany took over the country, and the Fourth Republic was kind of an abortive mess. It was more akin to the US taking a mulligan after the Articles of Confederation.

The Third Republic had actually lasted quite a while. There was definitely a mess before that: monarchy, revolution that created a republic that turned into an empire, then a monarchy again, then a republic again, then the nephew of the original emperor being declared emperor... the 19th century was not a good time to be French. (And I'm leaving out some revolutions and constitutions that didn't go anywhere.)

But after that they really had settled down, until an outside force blew it all up. The 19th century wasn't really all that solid anywhere in Europe. Germany and Italy didn't do any better.


Well, I'm not going to argue with you, there is no real disagreement here. All I'm saying is that you can be certain the members in various constitutional assemblies have been well aware of your point, and that contradictions in constitutions are not minor issues.


If they seize power by force AND they piss off NATO, then yeah. If they're anticommunists in Latin America, or anti-Gaddaffi in Libya, they'll probably be fine.


Doesn't even need a majority, just enough powerful people. If our generals decide to take over what stops them? Recent history around the world has a number or such cases.


1. Alter articles 4 and 79 (this one contains the eternity clause) so that that they don't protect articles 1 and 20 .

2. Alter articles 1 and 20

3. ???

4. 4th Reich


The constitutional court in germany already made a ruling that specificially rules out removing the protections of article 79. (Correction: It was not the constitutional court, but it is the current interpretation among lawyers and judges.)

The logic is rather sound: The article already protects the principles of articles 1-20, not the articles themselves. So changing article 79 to remove the protections is already touching on these principles, and is therefore inadmissible.


The eternity clause implicitly protects itself because anything else would be absurd and judges aren't computers.


If that was how it was meant to be understood, it could have easily been written explicitly by making it a recursive clause. E.g. in the case of my country, article 4 of the constitution says that the first 3 articles cannot be changed; it could have said first 4 articles cannot be changed, thereby making it a legal impasse.

More likely, the authors of entrenched clauses understood that, if it came to that, making that change illegal wouldn't prevent a slip to dictatorship. That impasse would only hinder the honest actors, if in the future there came a time when those entrenched clauses really legitimately need to be changed; and hence that door was deliberately left open.

Sure, if it came to that, judges may still rule your way to slow down the slide the dictatorship, but then the next constitutional amendment would be "all judges are retired, here's how new judges are selected". Or some other legal maneuver. Even the strongest clauses could be circumvented if they have enough support or power, let alone feeble interpretations of implicit clauses.


> If that was how it was meant to be understood, it could have easily been written explicitly by making it a recursive clause.

It could. But why explicitly write down things that are obvious anyway?

> More likely, the authors of entrenched clauses understood that, if it came to that, making that change illegal wouldn't prevent a slip to dictatorship. That impasse would only hinder the honest actors, if in the future there came a time when those entrenched clauses really legitimately need to be changed; and hence that door was deliberately left open.

No, the Basic Law was very much designed to make another slip into dictatorship impossible using legal means. The idea that the eternity clause was deliberately made toothless in case we actually do want to abolish human rights, democracy and rule of law again is frankly absurd.

> Sure, if it came to that, judges may still rule your way to slow down the slide the dictatorship, but then the next constitutional amendment would be "all judges are retired, here's how new judges are selected".

That constitutional amendment would simply be unconstitutional and thus invalid. Law is not code. If you violate its intent, you violate it.


> It could. But why explicitly write down things that are obvious anyway?

Maybe it's obvious to you; to me it's obvious the other way. Perhaps, when penning their supposed bulwark against dictatorship, they could afford to spend a few more drops of ink?

If the authors of such entrenched clauses really meant it the way you imply, they are doubly idiots, first for thinking that such legal technicalities would help prevent the slide into dictatorships, and then for failing to even do that and leave a loophole. I don't think they are idiots and they realized such an attempt would be futile and counterproductive. And focused their efforts elsewhere, to build a proper system with checks and balances so power would not be concentrated.

> The idea that the eternity clause was deliberately made toothless in case we actually do want to abolish human rights, democracy and rule of law again is frankly absurd.

No dictator would bother with amending such toothless abstract parts anyway. They would simply claim they are the greatest champion of human rights, and that their abuses are actually not abuses at all. The parts that are worth changing are concrete, technical details; like how are the judges that decide whether those are abuses are appointed. And those parts that the dictator might want to modify, may also legitimately need to be modified in the future, so all constitutions leave the door open to that change, yes.

> That constitutional amendment would simply be unconstitutional and thus invalid. Law is not code. If you violate its intent, you violate it.

Of course the prospective dictator would violate the constitution's intent, that's the point. Newly appointed judges would disagree with you about the amendment's constitutionality, though. As would the populace, who would just see unelected judges violating letter of the law to stop the people's will and protect the status quo.

Law is not code, it's what people in power interpret it to be. If a person or group manages to concentrate the power in practice, no legal technicalities help. I live in a country that recently went through that change; all the human rights, freedom of speech, rule of law clauses are there, all the supposed ostensible checks and balances are there, none of it is of any help. You can think in your head that it's not actually constitutional all you like, it's just that the judges, prosecutors, army, police, the censored media and most of the populace would disagree.


I told you the facts. If you think you know better how my country and its culture work than I do and if you think you know our laws and the history behind them better than German lawyers and historians, I can't help you.

> As would the populace, who would just see unelected judges violating letter of the law to stop the people's will and protect the status quo.

Nope. It would see the most trusted state organ protecting the Basic Law. Which I've capitalized not because I can't spell but because it culturally has a somewhat similar status to the US Constitution in the USA.


I am not talking about Germany at all, certainly not Germany of today. I think you missed that we are talking about a hypothetical future where a prospective dictator with overwhelming support is concentrating power. It already happened in my country; it's not happening in Germany and you correctly identified the reason ("It would see the most trusted state organ protecting the Basic Law."), not because of any entrenchment clause or even supposedly recursive entrenchment clause.


No, I think you missed that we were indeed talking about Germany.[1] If you want to change the topic, you should have said so :)

[1] https://news.ycombinator.com/item?id=26578639


(Un)like computers, judges sometimes die and guess who nominates replacement judges.


Judges rarely die in office. What's your point?


If you have so much control as to modify the constitution, you can as well appoint the judges that would side with your interpretation.


If you have that control for long enough to effectively replace the court, then that defense mechanism has failed.


Just a minor nitpick. It is article 1 AND 20, not articles 1 to 20.


I live in Poland, which (among a few other countries, especially Hungary) made a solid turn from liberal democracy to a less liberal one (Hungary proudly says it is "illiberal democracy"). Laws (including constitution and international agreements) are frequently ignored, applied selectively, or amended illegally.

Governments are not magically bound by law. The cost of breaking or ignoring the law depends on the public reaction (i.e. changes in their approval rate, protests on the streets that can be managed with police and military).


This anecdote should also be understood in the context of the fact that Gödel struggled with paranoia after his mentor was assassinated in 1936. Eventually dying many years later from starvation after refusing to eat because he thought he was being poisoned.


> Yes, the constitution can be ammended to be less democratic. It can also be entirely ignored by everyone, and things can also happen in ways that go against its text, with judges looking the other way!

Or the words of the constitution can be reinterpreted to mean something entirely different than what they originally meant.


It’s baffling that some people believe banning something by law prevents it from happening.


It mostly does, though.

That's the magic of intersubjective beliefs. Laws may be words on paper, but as long as everyone expects that everyone else expects everyone to follow them, they're mostly followed. Same with money - it's just pieces of paper and numbers in some computers, but by virtue of shared belief, it has real power.

To the extent making something illegal doesn't prevent it from happening, there are enforcement structures - but those could never actually police everyone. Their job is to catch the occasional person who wasn't convinced by the "words on paper", and by doing so, reinforce people's belief in the "shared delusion" of laws. Because when people stop believing, society disappears.


Not on its own, but by the work of very many societal systems, and on balance it is really these systems that are responsible for the societal effects, the laws merely being the guidelines.

So banning something by law does have an effect, but in the discussion of the dissolution of law it's clearly the courts, the bureaucracy, and the media that carry all the important functions of defence against subversion.


I believe the way to think about this is leverage. Courts, media, law enforcement, bureaucracy are all strictly necessary for the shared belief in law to hold, but it's the shared belief that does the lion's share of the work of keeping society coordinated. Taken together, the institutions achieve orders of magnitude greater effect than it would seem from the work they put into it. They do that by creating conditions in which a much more potent phenomenon can arise and sustain itself - that of the intersubjective belief in law.

(Which is why I consider attacks at public trust as existential threats to society - why I consider many white-collar crimes to be on par with murder, why I think current ad-funded journalism is a huge net social negative, and why I think many of hot SV startups need to be disbanded. They're all trying to erode the conditions that allow the "shared delusion" of civilization to function.)

Or, excuse the bad analogy, think of it as shield generators in Star Trek and other sci-fi. A starship will have this critical bit of technobabble that you could break with a wrench, but when activated, it directs energy into a field that can laugh off megaton explosions. It's the field that does the work, the generator only keeps it up.


> Or, excuse the bad analogy, think of it as shield generators...

> It's the field that does the work, the generator only keeps it up.

No matter how you continue this parable it will become an arms race, invariably.

One very famous such story is the magic oil lamp that kep burning when Massada was under siege. That's as you describe the faith which keeps the flame going.

The problem is in my view rather like Jakob the Liar, Plato's cave parable and the Emperor's new Clothe's. The emperor knows he's naked, but as long as he controls fuel flow, nobody will switch on the light, and if the abstraction is leaky he will be well positioned to throw a huge shadow, waving his arms around.

As they say, biology is all about ... I hope you know what I mean, I just forgot what do they say? Gradients, right?


> As they say, biology is all about ... I hope you know what I mean, I just forgot what do they say? Gradients, right?

Feedback loops. Everything is about feedback loops.


From my first hand experience of biologists, this comic faithfully recounts the modern view on biology: https://www.smbc-comics.com/comic/laws

So I guess sure, in the stochastic gradient descent sense biology is about gradients ;)


I guess to some extent it's a matter of taste how you score these things, but I don't see much to gain from a view that holds that belief exist in a real sense without the external actions.

That is to say that our understanding of the rules of the game, our norms, are not created at birth but rather accumulated as we experience the external world. So the acts of the lawyer and the judge matters not just for the parties involved in the case, but also to all that might hear of it. Therefore their impact on the whole of society is not to be measured merely by the number of legal entities they adjudicate between, but rather by the size of the total audience.

Though I will grant that the lion share of the moral choices we make have pretty straightforward answers (should I shove this dude onto the tracks for talking loudly about bitcoins while we wait for the subway? No, I'll just rant on twitter), and our norm setting systems rarely have to get involved for us to make those choices in line with the rest of society.


Sure, but mostly it works the other way, where the law is the result of the beliefs, not cause.

There are huge areas where the law is routinely broken (by civilians, law enforcement) and there is no consequences. (Petty theft, violence against poor people, tax evasion.)


Well it doesn't, but there are other people "supposed" to prevent it.

But yes, law people sometimes forget that it's all words on paper.


Supposed indeed. But in the US, the top tier of said people is also heavily political and partisan.

Anyway, the rule of law quickly becomes irrelevant when something takes over by force. Currently Myanmar is controlled by a military coup, for example, and there was an attempted coup by civilians in the US not too long ago (while the legal and military branches of it stood by and did nothing)


That the loophole involved the amendment process is just speculation. It may have been something else.


I personally think there's a more interesting point about the United States contained within the Wikipedia article. The concept of various rules, procedures, and laws dependent on celebrity, status, or wealth seems to show up everywhere.

At the courthouse, witnesses would normally remain outside of the room during a citizenship examination, but because Einstein, a celebrity, was involved, and because the judge, Phillip Forman, had administered the oath of citizenship to Einstein, all three men were invited in [0]

[0] https://en.wikipedia.org/wiki/G%C3%B6del%27s_Loophole


Agreements are only as good as the intentions of people carrying them out. And laws are "Cider House rules" without consistent and ethical interpretation and enforcement. All it takes to bring it all crashing down is the excessive complacency or moral turpitude of one generation of officials.

(It's probably a joke technicality that would never be allowed in the real world.)


> It does help to serve as an excellent counter-argument to "philosopher kings", though....

What do you mean here? I don't see an opportunity for relevance.


Ivory tower theorists misunderstand how abstract mathematical theory relates to the real social world.


The Constitution and Amendments though typically only work when they expand rights/freedoms rather than contract rights/freedoms. A good example is the 18th Amendment [1] which was drug prohibition of alcohol in 1920 which was reversed with the 21st Amendment [2] in 1933. The addition took away rights/freedoms and it led to a bad phase in America as well as created mafias and underground black markets that sapped money from the regular markets. Interestingly, the country went through the Great Depression towards the end of that timeline.

James Madison, who wrote the Constitution, most of the Federalist Papers AND the Bill of Rights, wrote the Bill of Rights specifically for individual freedoms so that the states would not want to rewrite the Constitution in another convention. Any addition to the Constitution that doesn't add more freedoms, rights or expand the power of the people and their pursuit of "Life, Liberty and the Pursuit of Happiness" as stated in the Declaration of Independence, will be misguided and discarded. Using amendments to strip away the main body of the Constitution, unless for more rights/freedoms, would be an incorrect use of the design goals.

Almost immediately after beginning to meet in 1789, the first Congress, led by James Madison, began to consider amendments to the Constitution proposed by the state ratifying conventions. George Washington and Madison had personally pledged to consider amendments because they realized that some amendments would be necessary to reduce pressure for a second constitutional convention that might drastically alter and weaken the new federal government. Fastening on Anti-Federalist criticisms that the Constitution lacked a clear articulation of guaranteed rights, Madison proposed amendments that emphasized the rights of individuals rather than the rights of states, an ingenious move that led to cries that these amendments—now known as the "Bill of Rights"—were a mere diversion.

"I will now add what I do not like. First the omission of a bill of rights..."

Thomas Jefferson to James Madison, December 20, 1787 [3]

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

[2] https://en.wikipedia.org/wiki/Twenty-first_Amendment_to_the_...

[3] https://www.loc.gov/exhibits/creating-the-united-states/dema...


Agree. As the fundamental law of a country, what makes sense to have there is:

- Basic freedoms/rights

- The government limits/boundaries (legislative and in regards to citizens)

- How the government should work (on a very high level)

The rest is better to have as laws/treaties. (Though to be fair sometimes it would be helpful to be more specific, still laws always move much slower than the times and technological changes might be difficult to consider using a past lens)

The US constitution is to be fair one of the most concise ones. As you correctly point out, prohibition is something that shouldn't have been even there


knew of this a long time ago, it's godel, what do you expect?


>"Gödel's Loophole is an "inner contradiction" in the Constitution of the United States which Austrian-German-American logician, mathematician, and analytic philosopher Kurt Gödel claimed to have discovered in 1947."

[...]

>"Since the exact nature of Gödel's Loophole has never been published, what it is, precisely, is not known."

Gödel was a brilliant, brilliant Mathematician.

There is no doubt, no question about that!

In fact, he's one of my personal "Mathematical Heros". In the same league as Ramanujan, Gauss, Euler, Newton, etc.

But, while he was all of this, he was also "rank amateur" in terms of finding contradictions in what is commonly called "The Law" (even though this article might have you believe otherwise).

Wow, he found one contradiction in the Law!

And of course, they don't tell you what it was exactly, leaving you guessing, leaving you wanting to know more -- a common trick used by Hollywood (and book authors) for getting and keeping the audience's attention!

One has only to study the Law, or what is commonly called "The Law" -- for a few years, with the mind of a Logician or Computer Programmer -- to discover many, and I mean, many, contradictions...

Here's a "fun one" to "whet your whistle":

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

>"The Equal Protection Clause is part of the first section of the Fourteenth Amendment to the United States Constitution. The clause, which took effect in 1868, provides "nor shall any State ... deny to any person within its jurisdiction the equal protection of the laws". It mandates that individuals in similar situations be treated equally by the law.[1][2][3]

[...]

>"Text

The Equal Protection Clause is located at the end of Section 1 of the Fourteenth Amendment:

All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.

No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the

equal protection of the laws.

Now, compare this equal protection of the laws, with the extremely unequal way that Covid-19 lockdown laws were implemented, State to State, in the United States:

https://en.wikipedia.org/wiki/COVID-19_lockdowns#United_Stat...

>"Stay-at-home orders in the United States have come from several states and a large number of local jurisdictions, sometimes leading to conflicts between different levels of government and a patchwork of inconsistent dates and rules.[610][611][612]"

Sometimes leading to conflicts, Wikipedia?

?

Try more like ALL OF THE TIME!

That is all of them -- are in conflict, contradiction, with the Equal Protection clause of the Constitution.

You see, for a State's Laws to be valid under the Equal Protection clause of the Constitution, it's an all-or-nothing deal.

That's because all Laws are like half-filled glasses of water; that is, they have a filled part, and they have an unfilled part.

If half of a Law is what protects people, it's like the filled part of the glass of water.

The other half of a Law is what encroaches on other people's freedoms and liberties; it's like the unfilled part of the glass of water.

If the Laws which protect people (and simultaneously encroach on other peoples freedoms and liberties) are not exactly equal, in each and every State, all of the time, then this would not be unlike each State having its own glass of water -- that was filled to a different level -- than each of the other States...

In other words,

no longer are individuals in similar situations -- treated equally by the law.

The Equal Protection Clause of the Constitution -- has been violated -- by these asymmetric, contradictory "Laws".

They are therefore, at least according to the Constitution, at least according to the Equal Protection Clause -- fully and thoroughly Unconstitutional (or contradictory, phrased another way) -- yet that hasn't seemed to have been much of an impediment to the groups and parties that implemented them, nor does it seem to be an aspect of things that was discussed or talked about much in the mass media...

But, long story short -- there are many contradictions in Law -- if one but studies the subject matter with the mind of a Mathematician, Logician, or Computer Programmer...


Reading all the comments here, my reaction is 'Whoosh!". Perhaps it is possible to use Cantor diagonalization to demonstrate there are forms of humour that are not accessible to everyone?


I think that the majority of people chuckled and moved on. The people who were, for whatever odd reason, perturbed or galvanized by the amusing little article compose the group that self-selected to comment.

I think this is a peril of reading the comment section before checking out links. If it's not worth talking about, you'll only find unhinged or pedantic conversations about it.


> Gödel responded "Oh, yes, I can prove it," but the judge declined to pursue the matter.

Such a mundane judge. It's as if someone says to a physicist "I have the General Unified Theory" and they decide to not listen to it.


Realistically this is more akin to a physicist hearing from a non-physicist they have a design for a perpetual motion machine and declining to pursue it.

Gödel was clearly a giant in his field but here he is completely outside of the rubric of things he was familiar with. Specifically the constitution describes a political system not a logical one and while logic is important for the law, it does not describe anything like a formal system of logic (in the mathematical sense).

Judges are also incredibly busy and they probably had a huge caseload to deal with and little time right then for a detailed constitutional debate.


> It's as if someone says to a physicist "I have the General Unified Theory" and they decide to not listen to it.

That happens all the time. The probably judge ignored Gödel for the same reason physcists ignore cranks.


If a truly ingenious method exists, probably best that nobody knows about it! Thankfully the current crop of would-be American dictators doesn't look smart enough to figure one out for themselves. (Brute force remains an option.)




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