Toby Bartels @tobybartels.name · 10hI'm mad at them for the more important things that they're *not* talking about, but it's hard to be mad at them for what they *are* talking about. 000
Toby Bartels @tobybartels.name · 14hMaxima (or Wolfram Alpha for convenience) has been computing derivatives for decades using a proper algorithm, not vibes. In the case of Maxima, you can even inspect the algorithm for yourself. 100
Toby Bartels @tobybartels.name · 30/09/2026I'm so sorry. Also for the patients that he's probably going to abuse. 170
Reposted by Toby BartelsAssigned Media @assignedmedia.org · 29/09/2026Democrats seem headed for big wins, but one avenue for self-sabotage would be adopting R's framing on trans rights. @billiejsweeney.bsky.social spoke with insiders incl Lanae Erikson of Third Way and Rep. Sarah McBride for this substanial piece of new reporting. assignedmedia.org/breaking-new...assignedmedia.orgDemocrats Lose by Punching Down on Trans Issues, Strategists Say - Assigned MediaInsiders, including at centrist think tank Third Way, are cautioning Democratic candidates against echoing Republican talking points on trans rights. 291059297
Reposted by Toby BartelsPrisonculture @prisonculture.bsky.social · 12/09/2026REBUILD is doing much needed work. I hope that some of you might donate to keep it going: www.mightycause.com/story/Rebuil... 18375
Toby Bartels @tobybartels.name · 29/09/2026Wow, this is real! My favourite line: The atoms of the constituent were scattered in the grass, in the rivers, in the air, in the ground. A woman gathered the atoms; she drank and ate and inhaled; and the woman assembled the constituent, in her body, which later required a birth certificate. 030
Toby Bartels @tobybartels.name · 29/09/2026When I was an autistic boy, learning about consent in relationships from watching '80s romcoms did not go well. 010
Reposted by Toby BartelsEb @ebthen.bsky.social · 29/09/2026Explaining to non-Autistic people that actually I'm not being ableist when I suggest that Autistic boys (and kids in general) maybe do need to be explicitly told about how consent works even though apparently all the other boys understand consent without being told. 8355
Toby Bartels @tobybartels.name · 29/09/2026You have to be extremely well read and intelligent to understand its deepest levels of obscenity. 120
Toby Bartels @tobybartels.name · 29/09/2026They gave me paroxetine, but it didn't really help. The talk therapy helped though. 010
Toby Bartels @tobybartels.name · 28/09/2026Everyone should have exactly the right amount of tech skills. Which happens to be exactly the tech skills that I have. No more and no less. 0813
Toby Bartels @tobybartels.name · 28/09/2026And it's still jamming stupid bullshit down people's throats while simultaneously being genuinely good at some things, sometimes the same things. It's very easy for one half or the other to be invisible to someone. 070
Toby Bartels @tobybartels.name · 28/09/2026To be fair to Green (and, well, for my own interest), I have now read the interview and the five-page preview that comes with it. And it's more clear than ever that Green did not read them. My only hope now is that he is a very dry parodist. 010
Toby Bartels @tobybartels.name · 28/09/2026I obviously haven't read the comic either, and I haven't even read the interview, but I have at least read the excerpts of the interview that Avi Green quoted in his article, and I think that's more than Avi Green ever did. I think he just scanned them for keywords to misinterpret. 110
Reposted by Toby BartelsGuardian US @us.theguardian.com · 28/09/2026Gone are the mass raids and militarized metro operations. Gone are the pomp and pageantry. But ICE arrests have hit record levels. ICE operations are no longer concentrated in large American cities. Immigration enforcement officials are also working in suburban and rural areas, all across the US. 18828494
Reposted by Toby BartelsTrash @trashxdiscourse.bsky.social · 28/09/2026This blew up, so if you need help relocating from an anti-trans state to the relatively safe Pacific Northwest, Traction's Project Open Arms is a resource, and if you have money, Traction's Project Open Arms could use that money. More resources/donation links coming. tractionpnw.org/open-arms/tractionpnw.orgProject Open Arms – TRACTIONA community project supporting trans+ red state refugees seeking sanctuary. 3129
Reposted by Toby Bartels🏴☠️ MC Pablo ∴ @p4bl0.net · 26/09/2026How we learned to stop worrying and love campus surveillance cameras (with AI!). fnl.mit.edu/how-we-learn...fnl.mit.eduHow We Learned to Stop Worrying and Love Campus Surveillance – MIT Faculty Newsletter 077
Toby Bartels @tobybartels.name · 28/09/2026It hadn't ended yet, but it was already going downhill in his opinion: ‘In recent times - the fourth season - the quality has gone far downhill, alas. The comments below should be taken as referring to the first through third seasons.’ is an editorial remark near that part of the document. 010
Toby Bartels @tobybartels.name · 27/09/2026But was that in the same neighborhood? Maybe she never expected Michael Myers to stab *her* face. 010
Toby Bartels @tobybartels.name · 27/09/2026I like the ‘file cabinet’ marketing suggestion by vlad and JMiao later down. I had to think back to whether I still had a filing cabinet in 2007, and the answer is Yes. 010
Toby Bartels @tobybartels.name · 27/09/2026#2 is correct (as Drew Houston acknowledges in the reply). But did ‘viral’ really mean ‹income-generating› back then? I don't remember that. Offering it for free can only help it go viral, especially if you're still advertising it (as Drew was doing, even if Brandon didn't know why). 110
Toby Bartels @tobybartels.name · 27/09/2026But maybe you should ignore the whole thread of replies above and just look at this one: bsky.app/profile/toby... 000
Toby Bartels @tobybartels.name · 27/09/2026… I also have these other nonstandard things within me that I believe are axioms when obviously (to you) they're nothing of the sort, but that's no great shock; you already know that I believe that ⊥ is a theorem, so I must have nonstandard things within me that I think are proofs. 000
Toby Bartels @tobybartels.name · 27/09/2026Maybe you should ignore the 5-post reply I made a few minutes ago, and I'll just start here. This makes sense, but I don't see how this contradicts (1). For each axiom P that ZF actually has, I (the model) believe P; that's my version of (1). I even believe that P is an axiom. … 100
Toby Bartels @tobybartels.name · 27/09/2026It can be extra difficult because of the distinction in levels between object language and metalanguage. (This sort of thing certainly can come up in other parts of mathematics, but sometimes those other parts of mathematics are secretly logic as well.) 000
Toby Bartels @tobybartels.name · 27/09/2026Oh, and the linked post seems to be saying something yet different from all of these: ∃ P ∈ L, ¬P ∧ M ⊨ (P ∈ Ax(ZFC)), which I *can* make sense of, by instantiating P. But that doesn't contradict (1). (It still doesn't seem right though, since being an axiom is decidable.) 100
Toby Bartels @tobybartels.name · 27/09/2026In M ⊨ (∃ P ∈ Ax(ZFC), ¬P), I can't make sense of ¬P, since P is not a sentence in the language L but rather a variable for a natural number that we think of as encoding a sentence from within M. But natural numbers aren't true or false. I can turn a statement into a number but not the reverse. 100
Toby Bartels @tobybartels.name · 27/09/2026I don't know what M ⊨ ¬P means inside M, because M is an actual model, not a description of something in the language L of ZFC, which is what M has access to. If I could define M within M, then I could make sense of M ⊨ (∃ P ∈ Ax(ZFC), M ⊨ ¬P), but I don't know how to do that. 100
Toby Bartels @tobybartels.name · 27/09/2026Unless I'm *really* confused, if M is a model of ZFC, then it's not possible that ∃ P ∈ Ax(ZFC), M ⊨ ¬P. But I don't think that you're saying that; I think that you're saying M ⊨ (∃ P ∈ Ax(ZFC), M ⊨ ¬P) or simply M ⊨ (∃ P ∈ Ax(ZFC), ¬P). However, I don't know what either of these means! 100
Toby Bartels @tobybartels.name · 27/09/2026Can you explain what it means for the model to *think* that something is *false*? That's what I tried to eliminate from my version of (1). If L is a language, M is a model of L, and P is a statement in L, then I know what it means to say that P is false in M, that is M ⊭ P, or M ⊨ ¬P. 100
Toby Bartels @tobybartels.name · 27/09/2026Correction: more than 2^65535 characters: bsky.app/profile/toby... 000
Toby Bartels @tobybartels.name · 27/09/2026But I guess when elsewhere I was talking about proofs with more than 2^65536 lines, I should have talked about proofs with more than 2^65536 characters. For all I know, there's a 5-line proof of ⊥, but then it necessarily uses an axiom with more than 2^65536 characters, so I'll never see it. 000
Toby Bartels @tobybartels.name · 27/09/2026Right, a nonstandard axiom becomes a nonstandard proof. So nonstandard axioms aren't important; what's important is that there are nonstandard proofs, whether that's because they have nonstandard length, nonstandard axioms, or both. 100
Toby Bartels @tobybartels.name · 27/09/2026(‘I’ here am a model of ZF+¬Con(ZF). This is what that model believes, or ‘thinks’ as you put it elsewhere in the thread. The real Toby is a fictionalist who believes whatever I want to believe for the purpose of the discussion, just as if we were talking about The Lord of the Rings.) 110
Toby Bartels @tobybartels.name · 27/09/2026I guess since ZF has axioms of arbitrary length, a nonstandard model must have nonstandard axioms within it. But we could be having this conversation about NBG, so I think nonstandard axioms are a red herring. The point is that the model has nonstandard proofs of nonstandard theorems (like ⊥). 110
Toby Bartels @tobybartels.name · 27/09/2026Of course, (4′) is an axiom that I accept on faith; I don't have this proof. Indeed, it follows from (1)–(3) that I believe that any such proof has more than 2^65536 lines, so I'll never see it. I believe in it like Kierkegaard believes in God, not because of the evidence but in spite of it. 100
Toby Bartels @tobybartels.name · 27/09/2026So (1) for each axiom of ZF, I believe it; (2) for each entailment in FOL between sentences in the language of ZF, if I believe all the premises, then I believe the conclusion; (3) I don't believe any contradiction in the language of ZF; and (4′) I believe there's a proof of a contradiction in ZF. 200
Toby Bartels @tobybartels.name · 27/09/2026What is truth? I might casually say ‹I believe X to be true›, but it's better to say ‹I believe X› unless I have some definition of truth in mind and want to talk about that instead of X. (I *am* talking about my beliefs though; ‘believe’ is not taboo here.) 100
Toby Bartels @tobybartels.name · 27/09/2026It's too long to worry about. The smallest such proof has more than 2^65536 lines, so none of us will ever produce it. 110
Toby Bartels @tobybartels.name · 27/09/2026It's only grim if you think that mathematics should be about real things. 130
Toby Bartels @tobybartels.name · 27/09/2026There's no danger as long as ZF+Con(ZF) is consistent, which it seems to be, but I don't see how ZF+¬Con(ZF) is incoherent. It's a little weird, but it also seems to be consistent (indeed it's consistent if ZF+Con(ZF) is), so there's no danger. 230
Toby Bartels @tobybartels.name · 27/09/2026You're assuming that if you believe in ZF, you should also believe in the consistency of ZF, even though ZF ⊬ Con(ZF) (or so I believe). 230
Reposted by Toby BartelsMark Jacob @markjacob.bsky.social · 27/09/2026No more shoulder-shrugging when a machine programmed by a person commits a crime. That means the person, not the machine, has committed a crime. 26765291
Reposted by Toby BartelsHope For The Planet @h4tp.bsky.social · 24/09/2026We now have rigorous pooled data showing that even without active restoration efforts, cleared rainforest can rebound to 75% of their former species composition and 90% of species diversity within just thirty years. #goodnewsoptimistdaily.comRainforest biodiversity rebounds within a single generation | The Optimist DailyA major Ecuador study finds cleared rainforests can recover 90 percent of their species diversity in just 30 years, as long as humans leave the land alone. 61042455
Toby Bartels @tobybartels.name · 27/09/2026static.klipy.comMad Max: Fury Road - That's BaitAlt: Mad Max: Fury Road - That's Bait 0120
Reposted by Toby BartelsMcSweeney's @mcsweeneys.net · 27/09/2026"To stop the WALL OF SHIT LAVA from WRECKING YOUR HOUSE AND BICYCLE, you will actually need to purchase the SHIT DAM, which is SOLD SEPARATELY." buff.ly/giIjvinbuff.lyWe Must Create the Shit Machine“For as long as humans have created SHIT with our BODIES AND BUTTS, we have been asking this FUNDAMENTAL QUESTION: What if there were a COMPUTER that could A... 04212