What happens when the depth of the hole exceeds the height of the knees

It’s hard to believe Skyrim is already 19 years old

Thank you! It is a privilege and a joy to have made such a remarkable improvement to your life!

Sadly the sum of all natural numbers is not actually -1/12. It’s a divergent sum. You could call it infinity.

There’s a little parlor trick that maths teachers like to perform where they do algebraic manipulation on a simple formula, eventually cancelling out the variables and arriving at some absurd statement like 1=2. The game is for the students to figure out what went wrong.

The trick is always that at some point, snuck into the progression, you ended up dividing something by “(X-X)” before moving on, seemingly without violating any algebraic rules. Very astute students (or ones who were warned by students from earlier classes haha) will notice that right at that point in time, you are in fact attempting to divide by zero, which is not possible.

So the reason you ended up with 1=2 is because you applied rules to something which they definitionally cannot apply to. At that point, the equation became undefined.

…the funny thing though, is you were able to just…continue. And get something to come out. Now, in this case, that thing was utter nonsense. An amusement for children to help teach them of various pitfalls they might fall into when playing with numbers.

But what if you were one of the most brilliant mathematicians who ever lived, and you were concerning yourself with questions such as,

“What would happen if I took [1 + 2 + 3 + 4+ 5….], and subtracted [1 + 1/2 + 1/3 + 1/4 + 1/5…]”

Now, those are both divergent sums. So we could just call them both infinity. But the second infinity just kind of…feels smaller, doesn’t it? It feels like you should be able to just…perform some type of operation and get…something to come out.

It wouldn’t be “correct” to do so, but this is basically what Ramanujan did. Illegal math. With a nonsense output of negative -1/12.

The funny thing though is that this “nonsense output” is actually now a cornerstone of quantum mechanics. It turns out we subtract diverging infinites from each other literally all the time, even just by walking around, and that pesky little -1/12 trick has proven to be consistently useful. Astonishing.

He died a preventable death at 32. Imagine what the world might have looked like today if only he could have dreamed a little longer, asked more impossible questions, and broken more rules. Specifically he died after a bout of dysentery, in case anyone is confused why they’re reading all this in the shit posting community

As the other commenter said, biking is cardio. It has many overlapping benefits with heavy circles (resistance training), but they each have some unique benefits and they grant you those benefits through different biological mechanisms. So doing one or the other is very good, and doing both is extremely good.

American heart association has a very good breakdown of the benefits of cardio. They recommend 150 minutes per week of moderate intensity cardio (biking slower than 10mph/16kph) or 75min per week of intense cardio (faster than 10mph) to fully cash in on those benefits.

On a personal note: before “taking the plunge” with any form of exercise, most people experience the same form of “temporal sticker shock” that you’ve expressed concern with. The “need to reserve time” for it.

It’s very deceptive though, because the short time you invest into it actually gives back so much more time to your life. Like multiple extra hours per day, every day, where you feel refreshed, energetic, and capable of pursuing your passions fully. It’s extremely worth the time you spend upfront

Heavy circles proven to reduce osteoporosis, sarcopenia, likelihood of falling in old age, likelihood of getting injured if you fall, metabolic syndrome, heart disease, and even depression. You can pretty much cash in all of these benefits in 2 hours per week flat

Hey can we actually start spreading this around? I have this amazing mental image of some self proclaimed alpha male type trying to get on my right side to talk down to me but I just keep rotating in place so he ends up circling me like a little puppy

I hate when my stomach huarn surnog

Yeah you’re probably right. I was just looking right above the highest point of the cat’s back where there’s a missing dot. In one image there’s four that form a square, in the other the bottom right dot is missing

Zooming in now tho it looks like the image with the darker cat is heavily compressed, so that particular dot probably just got lost in the process

Different details on the back wall too. Very strange. Possibly at some point someone ran it through an AI filter to get it to look like their cat?

Well, my assumption is that someday soon, all the people of the world will take a step back and realize that the endless cycle of war is ultimately meaningless; that the cruelty and suffering can end, and we can finally step forward into an era of compassion for one another

Hiii so basically they fired everyone in the administration who said “Iran will curb stomp the US for many reasons, so like, don’t start a war with them” and then decided to start a war with them

One of the many reasons is that Iran preeeeety much has unilateral control over this extremely interesting geographic feature called “The Straight of Hormuz” which has been one of the most important strategic chokepoints in the world for literally thousands of years. Right at the moment the big thing it’s choking is some crazy number like 20% of the entire oil and natural gas supply for the entire planet earth.

So naturally the first thing that is already happening is gas prices skyrocketing. Of note: the way they’re controlling the straight is with missiles. So we’re also seeing extreme amounts of environmental destruction from the tankers that have exploded

What’s gonna happen long term is anyone’s guess

Lol honestly it took me a second, especially with the HUGE post just two comments down detailing the whole situation and calling you a koolaid drinker. But yeah the entire situation is just so incredulous

Oof, this is a little too intense. Could we get a version where a relatively thin red line is striking through the word “kill”?

Nah don’t apologize, your posts slap harder than his balls in my face

I go to hug my wife for comfort. She too is AI

Yes, like all written words, they were intentionally chosen. In this case, they were chosen because your rhetoric is identical to that of these toxic charlatans. If you told me you paid for an online seminar I would be unsurprised.

Why is this fantasy of intellectual superiority so appealing to you, would you guess?

Yes, literally everyone would prefer the opinion of a random person who’d never heard of the topic before today, over the regurgitated opinion of someone who instantly believes manosphere influencers when they say everyone is dumb except for you

Oh, plenty of people actually do use a belt grinder with an angle guide lol. It’s probably the best way to do it if you want quality + fast results tbh. I prefer a stone for the simplicity

Was that research summarized for you in a youtube short?