Yeah, that was actually an awkward wording, sorry. What I meant is that given a non-continuous map from the natural numbers to the reals (or any other two sets with infinite but non-matching cardinality), there’s a way to prove it’s not bijective - the diagonal argument.

For anyone reading and curious, you take advantage of the fact you can choose an independent modification to the output value of the mapping for each input value. In this case, a common choice is the nth decimal digit of the real number corresponding to the input natural number n. By choosing the unused value for each digit - that is, making a new number that’s different from all the used numbers in that one place, at least - you construct a value that must be unused in the set of possible outputs, which is a contradiction (bijective means it’s a one-to-one pairing between the two ends).

Actually, you can go even stronger, and do this for surjective functions. All bijective maps are surjective functions, but surjective functions are allowed to map two inputs to the same output. At that point, you literally just define “A is a smaller set than B” as meaning that you can’t surject A into B. It’s a definition that works for all finite quantities, so why not?

Well, sometimes it happens. Lemmy was semi-broken during the APIocalypse, and there still isn’t such a thing as a FOSS Facebook, or search engine backend for that matter.

And Linux/BSD are so good proprietary developers rip them off to whatever degree legally permissible.

At least on the official web app, that doesn’t render as a link. You’ve got to do it as [whatever](u/pageflight@lemmy.world)

whatever

!desire_paths@sh.itjust.works

Literally just put it in that way, for future notice - there’s no hidden formatting here.

Hopefully somebody else $DAYJOBs at GitHub and will see this.

Uhh, so looking carefully at the picture, it appears they shouldn’t have bothered with the inner pathway at all, and should have just connected the bridge over the canal (?) in the background to whatever is under the camera.

Not only does the current design fail to provide a short path in demand, it leaves a goofy little boulevard behind the benches in what appears to be a dense, desirable urban area where you shouldn’t waste space.

Just give the URL, I’ll do a federated link for you.

I really deeply hope the universe is finite for this reason. Every great or terrible thing always happens forever, there is no causality or consequence.

You sure? I searched just to check and Three Dog Night came up.

“1 is the loneliest number” was a line from an old song, I think.

I mean, the idea of socialism has certainly seen setbacks since the end of the last century, hasn’t it? While gross inequality is still a huge problem, and I hope it will be solved somehow, the Lenin/Stalin version of socialism feels like it has basically lost.

A good, quick read if you don’t want to dive into books is the article Why Public Property?

I hadn’t seen this one before, thanks for that. There’s some great examples in here, on the subject of monopolies.

This phenomenon only continues to be proven true over a century later. The United States today has a far greater concentration of industry than it did during Lenin’s analysis. The small business sector has also consistently been on the decline. This is an observable reality. [Accompanied by a graph]

Monopolies and particularly oligopolies are having a moment, but the chart only goes back to the 70’s, and implicitly shows total company number going up (why is hard to say, it’s a paywalled article, and they mixed data from two other sources). If you go back further, I think it would look pretty different - the old gilded age ended, Standard Oil was broken up, and some of the giants of the postwar era got knocked down a peg or more. Further, the trend is pretty uneven by sector. Mom and pop shops are dead now, but independently owned franchises and publicly traded whatevers are hella dominant, and contractors (or “contractors”) are everywhere.

A clear modern example of this would be the smartphone industry. Competition has made cellphone manufacturing more and more complex over time. A cellphone these days is far too complex to be created by a small business. One requires access to enormous factories, machines, and supply chains. According to The Wealth Record, “the net worth of Samsung is pegged at $295 billion.” This is roughly the amount of capital one would need to acquire to even begin to be a serious competitor to Samsung.

I actually know quite a bit about semiconductor manufacturing. It may be the most capital intensive endeavor of all, but you don’t quite need to be Samsung to do it. If you want to build your own at scale, a fab might be “only” a billion dollars. That’s a lot, but many startups have raised it (for other things), so it’s a different story from being Samsung on day 1.

If you just want your chip design made, it’s way easier. TSMC exists to build other people’s designs. Companies like Sam Zeloof’s new enterprise exist for small scale printing of your prototypes. Most of the basic design tools can be found open source.

The network effect has made some genuine monopolies and definitely many oligopolies, but other things are less affected. Individual rich people get rich by chance (if you don’t mind me introducing my own source, which happens to be my favourite one).

All this to say, I don’t think concentration is going to kill capitalism in the near future, or even come close.

It is easy to look backwards at prior systems, such as the feudal economic system or the slave economic system, and then figure out how that system developed into the system afterwards. Adam Smith, for example, already explained in detail in his book Wealth of Nations how capitalism developed out of feudalism long before Marx.

It’s a tangent, so I’ve separated this out, but this is also an interesting claim. The end of feudal economics is an actively researched bit of history, and was far from neat and tidy. IIRC some of those old fealty-type agreements lasted into Marx’s time, if being mere formalities by their end. And I’m not sure why we (correctly) decided slavery was bad after doing it since before recorded history, either.

Well, to go back to my OP, good luck with that.

No, no it hasn’t risen since - unless your definition of socialism has expanded far more than I agree with. Meanwhile, economies elsewhere have gotten more and more market-oriented and financialised.

Yeah, and I’m still not sure how that happened or if democracy is here to stay, honestly.

I can’t really see things going back there economically, though - modern technology is just too good, and isolated illiterate peasants can’t make it.

Edit: Unless we really fuck up and cause nuclear winter or something. I suppose if we’re starting from scratch being agrarian again is on the table.

For a while, and then it failed. Meanwhile, the Western world got more and more free market.

Correct. In the long run every sector is going to end up like agriculture in the Midwest - all the land is in use, it’s just a matter of planting and harvesting the same way each year.

Ah yes, it was “Cloud” before, wasn’t it?

Radio for the 30’s. Atomic for the 50’s. Mass production for the old 20’s, maybe?

I just like, don’t believe it. Capitalism is hundreds of years old, and it’s only gotten stronger.

Spontaneous revolution/organisation for revolution has been promised for a long time, and is no closer to happening.