RationallyDense (they/she/he/any) @rationallydense.bsky.social · 33mdepending upon what you're trying to do with the variable. It's worth doing for some stuff (e.g. I don't want to rewrite all the group axioms for every theorem) but not for simple things like b>0. 020
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 33mThere are alternatives that basically attach the proof to the operand. So you can write "a/b" as long as b is actually <b,proof b is not 0>. But then you end up with a bunch of different properties to attach to a bunch of different things. You have to find the one you want and extract them 120
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 41mYeap. Basically the alternative is that you just can't have a binary division operator. Instead of a/b you would need to have a function which takes a, b and a proof that b is not 0. This is, not to be too technical about it, really annoying. So people often use the approach you mention above. 130
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 46mThe promise lean makes is that if your proof is incorrect, it will yell at you. If you write a theorem with a/b without including "and b is not 0", you're now proving something about a non-standard definition of division and lean happily helps you do that. 000
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 1hThis is fine. You actually can't have a binary division operator that does otherwise. You would need it to be ternary. Basically, instead of a/b you have to write (div a, b, (proof that b is not 0)). That gets old so people just put the check elsewhere. 120
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 1hAfter attempting to stab each other with their swords, they stab each other with their "swords". You're welcome. 😊 000
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 1hI'm starting a new one and we're expecting to take over within a few generations but for now, it's got to be the Sentinelese. They have a perfect k/d ratio with every other group. 010
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 1hI suspect you're right, but it could also just be that the girl supports Israel as yet another example of a bad thing. Like, the cybertruck has nothing to do with AI. 100
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 2hSure. But this is unfortunately solved by making people spend a lot more time reviewing LLM-authored code. It does mean you don't just have a few people, but the nature of the work is very different. 100
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 2hPresumably the checking is something that can be mostly automated. But if my experience in software is representative you still need to decide what problems are worth working on and come up with higher level strategies. 010
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 2hHow does that work? Because my experience has been that you don't really have much choice in the matter. 250
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 7hAlso frankly, way too many people like to call their thing "X". Google's "moonshots" division was "Google X". Lockheed Martin has a whole bunch of supersonic planes all called X-numbers. I think it's just a generic "this is our cool stuff" name. 140
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 8hI don't think so. The first two "X-Labs" grants are for research in scientific instruments and quantum computers, neither of which Musk's companies are involved in afaict. I think the "X" is supposed to refer to targeting cross-disciplinary teams. 100
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 8hI think a lot of people genuinely believe that if only Palestinians had a reasonable leader they could do something like the Camp David offer. It's not two independent functional states of course, but that's the thing about 2SS: it means whatever you want it to mean. 010
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 9hThat's how talking about an ideology works: you have to pick a definition. "Ah, but I use the word differently" is not an objection. It's an irrelevant tangent. 010
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 11hYeah, but even the guy he makes up in his head doesn't want anything to do with him. 000
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 11hDo not do any unabombing! It's very dangerous and should not be attempted without the supervision of your FBI handler. 090
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 12hEat. I ate so much chocolate when anxious! 110
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 16hI think we really should wait until the work is evaluated. This could be anything from fantastic to bs. 050
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 16hMath is just philosophy with more rules. 120
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 23hTo put it another way: the situation is negative sum and that's not conducive to deal making. 020
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 23hFrankly, the "issue" is that these strikes impose a very high cost on Russia at a relatively moderate cost to Ukraine. They'd be crazy to give that up without concessions that would seriously hamper Russia's war effort. Unless Russia is willing to give up, I doubt we'll see a stable deal. 150
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 23h Israel requires ongoing ethnic cleansing because for it to remain a Jewish state it can't, for instance, have an Arab Muslim majority. (Which is probably what would happen if it allowed refugees and their families to return) A Palestinian state could end up majority Palestinian Jews just fine. 060
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 23hI don't think that's true. The motion calls for "the establishment of a single democratic Palestinian State in all of historic Palestine with Jerusalem as its capital, equal rights for all, and the right of return for Palestinians and their descendants." No ethnic cleansing is necessary for that. 180
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026America is weird because it's not Catholic and it doesn't have a social safety net. So the Catholic Church is an organization that helps the poor and is an average amount of bigoted. But growing up in a country with a social safety net, the Catholic Church is just conservatives. 020
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026You are actually ethically required to imagine a scenario in which you are saving an innocent child before hitting a punching bag. (Can't imagine it's self-defense since that isn't sufficiently pure of heart.) 040
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026I appreciate Martin Luther for adding a frisson of the forbidden to literally every thought one can have. 020
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026Kind of reminds me of an argument I had with someone who insisted that if someone hasn't consented to sex then having a desire for sex with them is actually wanting to sexually assault them and so if you later ask for their consent, then you are trying to enact that assault without the consequences. 020
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026There's a guy in Argentina who owes money to their equivalent of the DMV, but he gave them my email address so I'm guessing they're gonna take his car at some point. 020
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026What was that listserv that your coworkers weren't ready for? 1260
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026Nah, but their body was created for the purpose of creating large gametes, so it's fine. 1330
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026Hermione is going to spend a episode explaining gamete size isn't she? 180
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026> Hi Joann. Long time no see. Do you want a glass of water? A cup of tea? > Are you aware of how many penised lesbians are involved in the push to access female spaces? > ... So... Is that a no on the tea? 061
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026Also, frankly, reading some of their statements about why they didn't want her to buy it, I'm definitely catching a bit of a whiff of homophobia and misogyny. 2610
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026The nuns weren't trying to buy it back. They sold it to a developer who got an amazing deal because she agreed to pay the nuns directly even though the nuns didn't have the authority to sell. Seriously, where can I buy a $15 million mansion with only $100k down? 0390
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026It was actually in response to a dispute where she bought a mansion for $15 million (the owner had purchased it a few months earlier for $11 million) and he later claimed he had not been of sound mind at the time. The judge found he was of sound mind. It was just rich people beef. 0190
Reposted by RationallyDense (they/she/he/any)User with this avatar just got blocked @avijustgotblocked.bsky.social · 06/10/2026An account with this avatar was just blocked. 0136
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026That must be because of the totally real terrorist thing that happened there. 010
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026I kind of appreciate Benjamin Butler who was militarily incompetent, but had the advantage of realizing before anyone else that he could do war shit instead of gentleman shit. "Oh, you don't like this? Funny story: my guys have guns and they will shoot you. Want to reconsider?" 000
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026It took me a while to realize you were probably talking about the Turing test. I was like "Turing machines aren't that bad..." 110
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 06/10/2026I think one exception is when you're reporting a modest property crime so you can tell your insurance company you did so. It's probably not worth paying $100s to a lawyer just to give the cops a list of stolen items. 160
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 05/10/2026At least Plato had a theory of how he got a philosopher king. These guys are basically just like "What if power was wielded for the good? That would be good right?" 000
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 05/10/2026I should be the benevolent dictator. If anyone else tries to be, we should stop them. 000
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 05/10/2026Calling someone a fascist is basically always protected opinion under the 1st amendment. Calling someone an abuser will vary, but if it's clear why and that the why is not a false statement of fact, then it's also protected. And US courts won't enforce foreign judgements contrary to the 1A. 010
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 05/10/2026Right, but it doesn't say that anything else is zionism. It defines zionism and adopts a particular antizionist foreign policy. It even distinguishes the two implicitly when it says that neither rejecting zionism nor establishing a single state are discriminatory. 000
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 05/10/2026Not all states are ethnonationalist projects. The UK for instance is not a country for a specific ethnicity and people who claim that it should be are correctly identified as racist. 000
RationallyDense (they/she/he/any) @rationallydense.bsky.social · 05/10/2026without running afoul of that resolution. That said, if your version of the 2SS involves an ethnonationalist state, then yeah, I do think that is beyond the pale for the same reason ethnonationalism is always beyond the pale. 100
