…and even newer methods make old math insanely complicated, but much more generalized. Like building definitions for things like numbers and basic arithmetic using set theory.
…and even newer methods make old math insanely complicated, but much more generalized. Like building definitions for things like numbers and basic arithmetic using set theory.
To be fair, the first 100 pages of that was justifying the set theory definition for what numbers are. The following two hundred papers are proving that a process of iterative counting we call addition functions in a consistent and useful way, given the set theory way of defining numbers. Once we get to that point, 1+1 is easy. Then we get to start talking more deeply about iteration as a process, leading to considering iterating addition (aka multiplication), iterating multiplication (aka exponents), etc. But that stuff is for the next thousand pages.
Remember, 0 is defined as the amount of things in the empty set {}. 1 is defined as the amount of things in a set containing the empty set {{}}. Each following natural number is defined as the amount of things in a set containing each of the previous nonnegative integers. So for example 2 is the amount of things in a set containing the empty set and a set containing the empty set {{}, {{}}}, 3 is the amount of things in a set containing the empty set, a set containing the empty set, and a set containing the empty set and a set containing the empty set {{}, {{}}, {{}, {{}}}}, etc. All natural numbers are just counting increasingly recursively labeled nothing. Welcome to math.
That must be unbearable.
Obviously. That’s clearly two women who didn’t choose the bear.
You can’t consent to a religion if leaving it causes you to be shunned by your family and community.
Then almost no one consents to their religion worldwide at all, barring a relative handful who leave the dominant faith in their community and are essentially disconnected solo practitioners of whatever, because joining or marrying into a different religious community is essentially just choosing a different group with the power to shun you for leaving their faith in turn.
only those companies that actually gave a shit continue to support Pride.
By which you mean only those companies that believe appearing to give a shit will be more profitable than sucking Trump’s dick continue to support Pride.
My friend no longer lives in that condo lol
By choice? Or by being forcibly evicted by the rapid expansion of heated gas?
I can see the use if you’re for example driving an older car with mostly original kit and don’t want an anachronistic stereo in it. So you pair up your fake cassette to your modern phone and can still play Spotify or w/e with the original kit.
There’s even an 8-Track version of it.
To quote LazyTown: Yar har, fiddle de dee…
No different than European tourists “traveling the US” visiting a couple of big cities and maybe the Grand Canyon on a stop in between.
Yeah, the thing a lot of people seem to miss is just how major of a geographic barrier the Sahara is. As a consequence, northern Africans weren’t generally very black for most of history.
Hey, you figured out a way to get MAGA types to support abortion - just find a way for tech bros to monetize aborted fetuses for shiny tech thing. Starte= referring to them as “extruded excess biomass” or something.
You may have nothing to fear right now, but you never know who’s going to be in office soon.
The way I always explain it to people - take any additional government power or access to information you either don’t care about or actively support. Now imagine whoever you oppose/hate the most taking office and trying to use that against your interests. Are you still OK with them having that power? Same principle applies regardless of what power or who’s pushing for it.
It’s like due process - you don’t want any category of alleged violation not to be subject to due process, and if you don’t understand why then it’s time to wrongfully accuse you of doing that so you understand the problem.
This was not personal interest, though it is an incredibly interesting text. It was fascinating to discover he devoted ~2.5 chapters to the importance of the same kind of simple, yet powerful finger-pointing rhetoric used by right-wing ideologists to this day. I joking say it’s one of the earliest texts on meme theory, and it’s only half a joke.
I still find it funny that just a few years ago a feminist social work journal called Affilia published an article that was essentially a rewrite of a section of Mein Kampf in terms of sex and with some “fashionable buzzwords” included under the title “Our Struggle Is My Struggle: Solidarity Feminism as an Intersectional Reply to Neoliberal and Choice Feminism.” Especially since the bit is spelled out right in the title (for anyone who doesn’t know, “Mein Kampf” literally translates as “My Struggle”). It was part of the grievance studies affair.
I think I have a mutation in a taste bud or something, but Sucralose is really a prominent and nasty taste to me in anything it’s in.
The only artificial sweetener I get a nasty aftertaste from is saccharine. But I get a really absurdly foul aftertaste from saccharine, I can’t even compare it to anything because it’s easily the worst thing I have ever tasted in my life and I can’t think of anything even sort of similar. Glad basically nothing uses it any more, but it was more of an issue as a type I diabetic kid decades ago. Sucralose doesn’t give me an aftertaste at all though, neither does aspartame or acesulfame potassium.
My preferred sweetener though is stevia (I used to go to the local new age shop and buy just dried stevia leaves for my tea and such during the time it was legal to sell in any amount for any purpose as an herbal supplement so long as you didn’t mention it had a flavor which turned it into an unsafe food additive because fuck NutraSweet corp). It took such a ridiculous time to get approved because of NutraSweet, when stevia really should have fallen under GRAS status for the same reason things like tomatoes did - New World plant used in food forever by the natives, but wholly new to Europeans when they came to the Americas.
You never hung out on IRC warez channels getting stuff by DCC or by trading dodgy FTP servers? Young whippersnapper!
We all on here pretending Napster wasn’t the OG? The transition to kazaa was painful.
Napster was feature poor though. CuteMX was much, much better and out while Napster was still running, but it closed down after Napster lost the court case. Feature set was closer to Kazaa, including filters and being able to browse a user’s shares.
If it was obscure, uncommon, niche, and other synonyms, if you did find it 90% of the time it was simply given an incorrect name and wasn’t actually what you wanted.
This is literally how I got introduced to several bands I never would have heard otherwise. Missing one track off one album, downloading…this definitely isn’t the right track, but who is this? And now I need to download another 8 albums by that band…
If a theory and every attempt at real world application of a theory yield wildly different results, shouldn’t that suggest something in the theory is deeply flawed?
Really it’s actually capitalism that supposes people are too dumb to make their own choices or know how a business is run, and thus shouldn’t have say over company choices.
Really it’s actually that businesses with that structure tend to perform better in a market economy, because no one forces businesses to be started as “dictatorships run by bosses that effectively have unilateral control over all choices of the company” other than the people starting that business themselves. You can literally start a business organized as a co-op (which by your definitions is fundamentally a socialist or communist entity) - there’s nothing preventing that from being the organizing structure. The complaint instead tends to be that no one is forcing existing successful businesses to change their structure and that a new co-op has to compete in a market where non-co-op businesses also operate.
If co-ops were a generally more effective model, you’d expect them to be more numerous and more influential. And they do alright for themselves in some spaces. For example in the US many of the biggest co-ops are agricultural.
My assumption was they copied and pasted from a lyrics website without checking and got a mid page ad in the process.