In reality, Germany became entirely dependent on Russian gas, oil and coal.

For all that talk of dependency preciously little happened when Russia closed the valves. There’s press reports about BASF going into gas saving mode but that’s a bit misleading – actual gas saving mode would be to change their processes on a fundamental level (they have plans and infrastructure for that), what they did do is to use the flexibility in their standard processes to not rely on gas as precursor where there’s more readily available options – as they’ve been doing for literal decades, depending on market prices they’re using more of this, or more of that. They pulled a lever over to one side, they didn’t build a whole new set of levers to pull.

Germany ended up having more gas reserves at the end of the winter than usual because people were quite mindful when heating their homes, mindful as in “it doesn’t need to be t-shirt temperature in here, 20C suffices”, not as in “let’s heat our homes like English pensioners”. Gas prices actually sunk, presumably due to lower demand companies invested in things like waste heat recycling.

The whole concept of Wandel durch Handel relied on the assumption that economical entanglement makes war ruinous, and thus states are heavily disincentivised to be belligerent. You can now interpret that in two ways: a) It didn’t stop Russia, therefore, it failed or b) it succeeded in ruining Russia’s economy because all their what ball bearing companies went belly-up during entanglement, German ball bearings being cheaper (not necessarily unit price, you also have to take lifetime, service costs etc. into account) and now they have severe shortages (that’s simplifying quite a bit but that’s the net effect).

In the end there’s only one thing to take away: Policy can’t influence non-rational actors. All you can ensure is that if an actor becomes irrational they’re shooting themselves in the foot.

Why is basic arithmetic so sacred that it must not be besmirched?

It isn’t. It’s convenient. Toss it if you don’t want to use it. What’s not an option though is to use it incorrectly, and that would be insisting that 0.999… /= 1, because that doesn’t make any sense.

A notational system doesn’t get to say “well I like to do numbers this way, let’s break all the axioms or arithmetic”. If you say that 0.333… = 1/3, then it necessarily follows that 0.999… = 1. Forget about “but how do I calculate that” think about “does multiplying the same number by the same number yield the same result”.

catches people because using arithmetic properly leads to an incorrect understanding of repeating decimals.

Repeating decimals aren’t apart from decimal arithmetic. They’re a necessary part of it. If you didn’t learn 0.999… = 1, you did not learn decimal arithmetic. And with “necessary” I mean necessary: Any positional system that supports expressing rational numbers will have repeating digits. It’s the trade-off you make, by fixing the divisor (10 in our case), to make numbers easily comparable by size, because no number can divide any number cleanly because there’s an infinite number of primes. Quick, which is the bigger number: 38/127 or 39/131.

Any notational system has its awkward spots. You will not get around awkward spots. Decimal notation has quite few of them, certainly fewer than Roman numerals where being able to do long division earned you a Ph.D. If you can come up with something better be my guest, I already linked you to a starting point.

They might use standard imagemagick or such on the backend meaning they can ingest pretty much any image format ever invented, and have a limited set of extensions allowed on the frontend side so people don’t upload .txts.

This grant does not include claims that would be infringed only as a consequence of further modification of these implementations.

IANAL but what they’re saying here seems to be “if you download our code and modify it and, with that modification, touch some other patent of ours we can still have your ass”. That is, the license they’re giving out only cover the code that they release. Which shouldn’t be too controversial, I think.

The issue with codecs in general is that there’s plenty of trolls around and coming up with any audio or video codec is probably going to hit one of their patents, so the best that FLOSS codecs can do is “we don’t have any patents on this” or “we do have patents on this but license them freely, also, if someone else goes after you we’re going to detonate a patent minefield under their ass”. Patent portfolios have essentially reached the level of MAD.

Personally, IDGAF: Software patents aren’t a thing over here. You only have to worry about that stuff if you’re developing silicon.

0.999… has no smallest digit, thus the carry operation fails to roll it over to 1.

That’s where limits get involved, snatching the carry from the brink of infinity. You could, OTOH, also ignore that and simply accept that it has to be the case because 0.333… * 3. And let me emphasise this doubly and triply: That is a correct mathematical understanding. You don’t need to get limits involved. It doesn’t make it any more correct, or detailed, or anything. Glancing at Occam’s razor, it’s even the preferable explanation: There’s a gazillion overcomplicated and egg-headed ways to write 1 + 1 = 2 (just have a look at the Principia Mathematica), that doesn’t mean that a kindergarten student doesn’t understand the concept correctly. Begone, superfluous sophistication!

(I just noticed that sophistication actually shares a root with sophistry. What a coincidence)

Someone using only basic arithmetic on decimal notation will conclude that 0.999… is not 1.

Doesn’t pass scrutiny, because then either 0.333… /= 1/3 or 3 /= 3 (or both). It simply cannot be the case when looking at the whole system, as opposed to only the single question 0.999… ?= 1 and trying to glean something from that. Context matters: Any answer to that question has to be consistent with all the rest you know about the natural numbers. And only 0.999… = 1 fulfils that.

Why are you making this so complicated?

They’ve definitely done that before, dunno if it was deliberately. They must have somewhat of an idea how long it takes for nocebo to kick in with the local village idiots, if it’s short enough it could actually be a rather good idea to make waiting a bit a general policy. Tank some mild capital and opportunity cost to prevent having to battle in court and the town newspaper? Sounds like a win to me.

Not really, they’d need to triple their numbers.

Numbers on the far left are misleading as Die Linke is bleeding members to the BSW but the BSW is taking their sweet time handing out membership cards, double-checking every single applicant. Reportedly they have a backlog of at least 8000 applicants or such and at least 20k people generally interested. Wagenknecht is at least 70% tankie so it doesn’t surprise that they’re doing a vanguard thing.

I think there’s a couple of people around with collective OCD that just can’t stand metaphor.

Jokes aside, and not being a sociologist, I do think it’s a good distinction because PTSD implies a maladaptive reaction to trauma, and communities, just like individuals, can process their trauma well or they can mess it up.

I get that ever model is wrong, but some are useful.

There is nothing wrong about decimal notation. It is correct. There’s also nothing wrong about Roman numerals… they’re just awkward AF.

Basic decimal notation doesn’t work well with some things, and insinuates incorrect answers.

You could just as well argue that fractional notation “insinuates” that 1/3 + 1/3 = 2/6. You could argue that 8 + 8 is four because that’s four holes there. Lots of things that people can consider more intuitive than the intended meaning. Don’t get me started on English spelling.

Terms.

There! Syntax. We went over this. Seriously, we did, and, no, I got the last word.

I suggest you check some Maths textbooks, instead of listening to a Physics major.

I can check any textbook from any discipline. You know what? I could even ask my school teachers. Because I’m not American and I wasn’t taught shit that doesn’t match up with what professionals are doing.

You’re just another yank drunk on jingoism, “We do it like that, therefore, it is right”.

You had the option to not double down and didn’t take it.

https://www.youtube.com/watch?v=lLCDca6dYpA

…oh wait I remember that Unicody user name. It’s you. Didn’t I already explain to you the difference between syntax and semantics until you gave up. I suggest we don’t do it again but instead, you review the thread.

Yes, you killed it.

Wait, let me try:

The earth is flat!

See how funny I am?

Really, you did it. You really did it. You killed humour so dead it’s not even working for me, any more.

Also it’s not like “getting food is easier” is the only hypothesis out there as to why we settled down. Another one, IMO much more in line with human nature, is that we figured out how to ferment beer and for that reason planted buttloads of grain.

Ackchyually… that’s completely wrong. Frighteningly so, I might add, where has basic education gone.

Ultrasound are mechanical waves, light is EM radiation. Really slow light is infrared. Really fast ultrasound is… even more ultra ultrasound. Slower ultrasound would be this.

If you’re taking photos on a nude beach in Europe you’re getting decked. Kid, adult, doesn’t matter.

There’s a massive fucking difference between sitting naked in a sauna with other naked people and sitting on public transit, fully dressed, gossiping about non-consensual nudes of children. How is that even a question. How are you capable of equating those things.

Help them remove the stigma around their bodies and sex, and empower them to speak and be heard when something they don’t like happens.

This. So much this. If auntie wants to give them a kiss and they don’t want to get slobbered then tough fucking luck auntie, I’ll back the little shits up when they bite you. Predators are, by and large, able to do what they do because people don’t teach kids that they do, in fact, have bodily autonomy.

And while I’m at it bodily autonomy of kids also implies that parents don’t parade photos around like some fucking trophy or something. Have some basic fucking regard for your own kids and what they want. How would you feel when they’re showing nude pictures of you to their classmates yeah I thought so.

Simlocks have completely vanished from the market at least here in Germany, mostly because carriers don’t care if you use your subsidised bonus phone with a different card – you’re still locked into a contract with two years or such minimum duration. Even those contracts have gotten rare though I think most people right-out own their phones and then make a separate contract.

0.999… = 1 requires more advanced algebra in a pointed argument,

You’re used to one but not the other. You convinced yourself that because one is new or unacquainted it is hard, while the rest is not. The rule I mentioned Is certainly easier that 2x/x that’s actual algebra right there.

It’s as if all math must be regarded as infinitely perfect, and any unbelievers must be cast out to the pyre of harsh correction

Why, yes. I totally can see your point about decimal notation being awkward in places though I doubt there’s a notation that isn’t, in some area or the other, awkward, and decimal is good enough. We’re also used to it, that plays a big role in whether something is judged convenient.

On the other hand 0.9999… must be equal to 1. Because otherwise the system would be wrong: For the system to be acceptable, for it to be infinitely perfect in its consistency with everything else, it must work like that.

And that’s what everyone’s saying when they’re throwing “1/3 = 0.333… now multiply both by three” at you: That 1 = 0.9999… is necessary. That it must be that way. And because it must be like that, it is like that. Because the integrity of the system trumps your own understanding of what the rules of decimal notation are, it trumps your maths teacher, it trumps all the Fields medallists. That integrity is primal, it’s always semantics first, then figure out some syntax to support it (unless you’re into substructural logics, different topic). It’s why you see mathematicians use the term “abuse of notation” but never “abuse of semantics”.

The teacher couldn’t possibly fathom marking “mega” right for students who had only context from the classroom and also marking “yotta” right for students who had done independent research.

That is child abuse. Literally. The way my teachers worked, presumably because they learned how to deal with the situation when actually studying pedagogics (a thing we require of teachers here) is to give an extra point because you want to encourage kids to figure things out on their own.