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Let S be a bounded, convex, compact, well-defined set, tightly compressed, seasoned, smoked, strictly marinated, and covered with a layer of Worcestershire sauce. Then S is homeomorphic to any well-made dish.

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unbothered (it's saturday so there's almost no one at the office) moisturized (i drank coffee) happy (i do math) in my lane (compactified on my chair, not wearing shoes) focused (posting on tumblr while doing math) flourishing (self-explanatory)

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WHY does the Einstein summation notation exist?

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Related to the last post (about category theory). This is my absolute favourite definition ever: just don't worry about it 🫶

It's giving this:

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"kung pow penis," a phrase commonly used in reblogs to indicate utter disdain for OP, has twelve letters, each of which (traditionally) must be supplied by a different user. the unanimity of disdain indicated by these twelve unrelated users has strong parallels to the requirement of unanimity for a jury—also traditionally of twelve—to arrive at a verdict. in this essay i will

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the world is running out of glassblowers and yet you want to become a fucking doctor

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The point of Occam's razor is always and has always been that given two otherwise identical hypotheses, identical in the sense that their predictions and results are the same, you always take the less complex one. It's a rule to not overcomplicate a model: between a theory that a dice roll has a 1/6 chance to land on any number and a theory that a dice roll has 1/6 chance to call a random deity in the roman pantheon, each of whom are assigned a specific number, you always take the former because it involves less moving parts.

The part of the two hypotheses being identical is important, because simplicity alone is not an explanation of how something works, nor is it evidence of a hypothesis. The world is complicated and explaining how anything works requires a significant amount of legwork, and Occam's razor is so frequently misused to paint over the complexities and nuance of the world when different tests should be used.

so i dont reject occams razor or anything, there are situations where it has obvious utility, but it's very easy to use for self-deception. which explanation is simpler, more parsimonious, is often non-obvious. in particular, if youre disagreeing with someone about something, its likely they dont agree with you about which explantion is more parsimonious, so if you're going to argue from simplicity, you have to *make a case* for simplicity

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so i dont reject occams razor or anything, there are situations where it has obvious utility, but it's very easy to use for self-deception. which explanation is simpler, more parsimonious, is often non-obvious. in particular, if youre disagreeing with someone about something, its likely they dont agree with you about which explantion is more parsimonious, so if you're going to argue from simplicity, you have to *make a case* for simplicity

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Do y'all math fans ever feel like you don't have enough of yourself to give to the subject to ever be truly successful? Lol

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type of guy that thinks that we could solve all our social problems if more people took X class in college but for, like, model theory or semiconductor physics or phonological reconstruction

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My mother is all into homesteading and off-grid living videos right now. Every time I check up on her, this is what she wants to talk about.

It gives her a sense of peace and purpose I guess. Which is good, she’s been struggling to find that with her injuries and condition. She’s learning skills, and feeling prepared for “the worst”. Like I can’t get her to stop watching conspiracy theory bullshit on YouTube so at least this kind of content alleviates some of the anxiety the other content amplifies, because she feels like she can do something now to secure her safety later.

But to get through these conversations, I have to tell myself— hey, if natural disaster comes our way, some of this might be useful. But I know she’s not just thinking a big storm or natural disaster. She’s preparing for the collapse of society. And I don’t know how to break it to her that we wouldn’t survive that. You can make long lasting candles with crisco? Cool. Where you going to by crisco when society collapses? You’ll stock up now? Ok cool. What will you do when it runs out? Honestly, before it runs out, what will you do when people with guns come to take your various stockpiled supplies?

If we hit a point where society collapses, we’re done for. Food, medicine, etc. we can’t survive without society, without a world where people are working together trying to help each other out.

So, I’ll go through with this shit in the name of natural disaster preparedness, and because it helps her. But that’s as far as I’m willing to put energy into it. I refuse to prepare for, bet on, or hope for the collapse of society. I’d rather spend my energy trying to prevent society collapsing, what little part I can play in that. I’d rather spend my energy supporting people in my community. I’d rather work and build towards a better future, not prepare for the worst.

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*me running a factory manufacturing a consumable good*

We have so much PRODUCT on the production line, so much PRODUCT in the warehouse. Trucks shipping PRODUCT across the world. Just look at that PRODUCT. I don't even know how to count how much PRODUCT we have. My god so much PRODUCT. Just wow, all the PRODUCT, wow. Can you believe the PRODUCT over there, there is so much PRODUCT. Good job production line staff, keep making the PRODUCT. I'm proud of you. I'm proud of the PRODUCT you manufacture. Look at it. Look at the PRODUCT.

So.... I think on the basis of this thought experiment it's clear I would be the most charismatic factory owner ever.

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In honor of Day of the Dead, here’s a repost of my comic about the San Francisco Columbarium and the man who spent 26 years restoring it.

This comic originally appeared on Medium at The Nib. Go check out my other work there.

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any trans kids following me please know that I love you I love you I love you I love you I love you

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I SHOT THE HEAD OFF THE CPR MANNEQUIN WHAT THE HELL

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How is bnha anime of the decade...... they aren’t even anime of the hour of the minute of the second

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love that "number theory" and "linear algebra" sound like idiot math for babies