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Math kind of relies on assumptions, you really can’t get anywhere in math without an assumption at the beginning of your thought process.
Math kind of relies on assumptions, you really can’t get anywhere in math without an assumption at the beginning of your thought process.
That’s a decimal approximation of Pi with an ellipsis at the end to indicate its an approximation, not a definition. The way the ellipsis is used above is different. It’s being used to define a number via the decimal expansion by saying it’s an infinite sum of negative powers of 10 defined by the pattern before the ellipsis.
So we have:
0.101001000100001000001 . . . = 10^-1 + 10^-2 + 10^-3 + 10^-4 +10^-5+ . . .
Pi, however, is not defined this way. Pi can be defined as twice the solution of the integral from -1 to 1 of the square root of (1-x^2), a function defining a unit semi-circle.
Implicitly defining a number via it’s decimal form typically relies on their being a pattern to follow after the ellipsis. You can define a different number with twos in it, but if you put an ellipsis at the end you’re implying there’s a different pattern to follow for the rest of the decimal expansion, hence your number is not the same number as the one without twos in it.
It’s implicitly defined here by its decimal form:
0.101001000100001000001 . . .
The definition of this number is that the number of 0s after each 1 is given by the total previous number of 1s in the sequence. That’s why it can’t contain 2 despite being infinite and non-repeating.
That makes it even worse. Imagine putting in all this effort and taking all this supposed risk to create a new social media platform free of the pitfalls that come with a for profit site like reddit only to slowly adopt the exact same corporate friendly code of conduct while purposefully curating a community of annoying shitheads who are nearly indistinguishable from the horde of cretins on reddit.
If making a new reddit is legitimately the best they can do, then they should absolutely just scuttle the entire project.
real this house has people in it hours
So how close to losing and being forced into an unconditional surrender does Ukraine need to be before Europe stops sending aid at their own huge expense?
And yet the United States continues to slide into fascism despite having elected Biden. What horrific Trump era policies did the Democrats even bother to repeal after they won in 2020 and held both the senate and the house?
They are still funding the construction of border wall segments. They never repealed the Republican tax cuts. They have done nothing about the concentration camps on the southern border for fuck’s sake. They never codified Roe v. Wade, we literally lost the right to abortions while Biden was in office. They could have stacked the supreme court but they didn’t.
The Democrats and the Republicans form an obfuscated one party system in the US. Republican leadership aggressively ramps up the oppression of marginalized people, then Democratic leadership does nothing to restore our rights nor proactively prevent the same thing from happening again. Instead they just use their time in office to suck all of the energy out of people’s movements that could actually effect change.
And much more importantly than all of that, Republicans and Democrats are virtually identically evil when it comes to foreign policy. When the US is dropping bombs on you and destroying your country, you’ll tend not to care whether it was a Red MAGA or Blue MAGA administration pulling the trigger.
In some specific cases it might be worthwhile to vote for Democrats in local elections where there exists much more leeway for politicians to stray from the party line, but voting for them in national elections is just lending your voice to legitimizing their bullshit good cop/bad cop routine they play with the Republicans.
Veritasium
Sucks about this guy, he used to actually make interesting pop-sci videos without mangling the concepts and conclusions too badly. It was a breath of fresh air compared to the bullshit other science popularizers like Michio Kaku were dreaming up at the time. But nowadays his videos all have these extremely vague clickbait titles. And much worse than that: he clearly shills tech from sponsored companies. Not with marked sponsorship segments, but with entire videos that are essentially long form advertisements with all of the disinformation marketing entails. Other than the word sponsor being highlighted and placed before the title, there is no indication for his audience that they shouldn’t view such sponsored videos as normal Veritasium videos.
The most blatant example of this was when he shilled for Waymo self driving ride share cars in an 18 minute video they sponsored. It was about two years ago, the title:
Why You Should Want Driverless Cars On Roads Now
Here’s a video detailing the ways in which Veritasium misleads his audience to produce corporate propaganda using the driverless car video as its main example. It’s an hour long, but I still recommend giving it a watch because it’s so thorough: https://www.youtube.com/watch?v=CM0aohBfUTc
I’m sure Veritasium does still make good, well researched and well intentioned videos, but after seeing the way he intentionally manipulates his audience in certain videos, I can’t help but be distrustful of everything he says elsewhere.
Yep, and it’s a lot more successful than you’d think. I’ve been using it for over a year now and I literally have not come across a sponsored video yet that hasn’t had its sponsored segments reported. Not even on videos that were uploaded literally 10 minutes ago. Highly recommend
Congrats, that already exists as a browser addon and it’s free. Look up sponsorblock.
Hard embedding ads works for live streams since you can’t know when exactly any given ad will start or end. If Youtube were to do this, it would be very trivial for sponsorblock to simply take on the role of adblocker since the community would be able to report the location of the ads.
I don’t have much experience with cocaine or stimulants in general, but I have gone through the ringer of opioid addiction. I’m five years clean now thanks to Buprenorphine.
From that horrific experience, my gut feeling is that there is no possible way sugar is anywhere near as addictive as opioids. At least not for anyone predisposed to enjoying opioids, of course. Going through opioid withdrawal is a horror I will wish on very few people. It has broken me before, and it has broken some of the strongest people I’ve ever known. I have never felt an incredible urge to steal from my own family to satisfy a sweet tooth, that’s for sure.
Please walk into the sea.
I really wish I could have a permanent record of everything every liberal has ever said so I could easily demonstrate how full of shit they are in 10 to 20 years when they all collectively deny ever having supported Israel through the Palestinian genocide.
Advertising. Literally all of it.
That’s such a great idea that I’m sure anyone who did this would end up charged with some type of fraud, unfortunately
Pay off my debt, buy a modest home, go back to school, never work a shit job for minimum wage ever again.
But I don’t need anywhere near 20,000,000 dollars a year to do that.
After some large donations to communist organizations, I’d put the remaining few million per year into buying commercial slots on every major TV network in the US. Then I’d create Jury Nullification PSAs and blast them over the airways continuously until the message sinks in universally that juries are under no obligation at all to respect the laws currently grinding marginalized people into dust.
Right and the point of defining this number as a non-repeating infinite sequence of 0s and 1s is just to show that non-repetition of digits alone is not sufficient to say a number contains all finite sequences.