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thaumasiotes
searching PlanetScale…
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7 ms
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91.
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thaumasiotes
1mo ago
> Perhaps it isn't and it is a nice PR for beginners. By the way, there is a steady stream of people who come into the "new members" channel on the Lean zulip and ask for ideas for a minor contribution they can make. The s
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thaumasiotes
1mo ago
It is in mathlib. In textbooks it's presented as an introductory part of the Second Isomorphism Theorem; in mathlib it's here: https://leanprover-community.github.io/mathlib4_docs/Mathlib... . The part of the
93.
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thaumasiotes
2mo ago
>> Along the way, it wrote 13 million lines of Lean and proved 29,500 intermediate theorems. > Pretty insane. I don't think the count of "intermediate theorems" tells you anything. Here's something from an algeb
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thaumasiotes
2mo ago
> But apparently the constraints are: every player rolls one die once. That doesn't eliminate the natural scheme, it just adds some useless die rolls. You can have each of two players flip a coin and choose player A when player A fl
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thaumasiotes
2mo ago
If you're going to specify that the number of players is 2, there is no advantage over the much simpler system of: Flip one coin. If heads, player A is the winner. If tails, player B is the winner.
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thaumasiotes
2mo ago
> I think it's more about guaranteeing the whole sequence, rather than who goes first? What do you mean? The question is who goes first. As a matter of practice, what happens in a board game is that everyone takes a position around
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thaumasiotes
2mo ago
> but I imagine she values her time highly enough that $20 is not worth very much Did you notice that this is completely unrelated to the idea that the $20 would turn a profit for the business? It's just the argument "$20 isn&#
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thaumasiotes
2mo ago
> (how do you notate 'gradually increase the filter cutoff here'?) Use freeform text; it's a standard part of musical notation. Just because most of what you see on a score is some form or another of shorthand doesn't
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thaumasiotes
2mo ago
> Otherwise why update the website at all? Because you have it.
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thaumasiotes
2mo ago
Does updating the website bring in additional money?
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thaumasiotes
2mo ago
In the same way that the primary beneficiaries of witch hunts are... witches?
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thaumasiotes
2mo ago
> yes, with two g's The reason there are two Gs is that the first one is assimilated from a D. The etymological structure of the word is ex-ad-gero,¹ "from-toward-carry". This happens for everything. Compare accelerate [
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thaumasiotes
2mo ago
> I don’t mean from a nutritional standpoint, but a behavioural perspective. That would normally be called "learning". Also a pretty conventional idea. With learning, though, you'd want to explain why something becomes imm
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thaumasiotes
2mo ago
> As a layman, the only condition I'm aware of with this "downside but also upside" quality is sickle cell anaemia Essentially all traits that you might think of as "traits" and not "features of the species&
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thaumasiotes
2mo ago
> I’ve always thought, it’s not absurd to think there different development routes which the brain takes depending on the environment it develops in. What do you think nutritional stunting means? https://en.wikipedia.org/
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thaumasiotes
2mo ago
The answer appears to be "people who spend more time on offense than defense". Not to say that tilting things in their direction is a good idea, but that's a pretty wide class of beneficiaries.
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thaumasiotes
2mo ago
Well... https://www.etymonline.com/word/irrational > The mathematical sense "inexpressible in ordinary numbers" is from late 14c. in English, from use of the Latin word as a translation of Greek alogon i
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thaumasiotes
2mo ago
Well, I found an analysis by a Texas law firm: https://www.lapinlawtx.com/firearms-blog/2025-001 This does say that > Arguably, the protections contained in the [self-defense] statute include what is referred to in
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thaumasiotes
2mo ago
> and I think it's fairly straightforward changing the spelling of words ending in "le" to "el" would be more consistent to how "le" is used in other places in words where changing their spelling would
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thaumasiotes
2mo ago
Because there is no similarity between those two things. "combine" and "-ing" have meaning independent of each other. (In linguistics this is recognized by calling both of them "morphemes".) This is not true of
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thaumasiotes
2mo ago
You are wrong about this. The structure of the characters is very explicit; one character per square. Meaning is assigned at that level and never below. (As a matter of character etymology, you are right that 廿 and its variant form 卄 come f
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thaumasiotes
2mo ago
That is the positional part. If you were to rearrange it, you'd get something invalid. 二十三百 isn't a number at all. Recall that the use of zero is necessitated by using positional notation, and that is what we see here: you must ex
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thaumasiotes
2mo ago
> Well I know what you mean, it's phonetic in the same way that a silent "ent" and "p" in "comptent" are "phonetic" in French No, that's not what I said at all. Stipulating that the -ent
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thaumasiotes
2mo ago
> They pronounce these words as if the e and the l were reversed, if "truffle" was written in a phonetic manner it would be written "truffel". You can just look this up. The usual way to write "truffle" in a
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thaumasiotes
2mo ago
Of course. The Chinese number system is base 10 (or, if you scale way up, base 10,000) with a positional writing system. The symbol for ten is 十. Heck, there's also a symbol for twenty, 廿, and it exists despite the number system being
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thaumasiotes
2mo ago
> I'd argue that "le" is not really phonetic to how people pronounce words ending in that Sorry? How do you think people pronounce words such as truffle / turtle / tremble / pickle / maple / rubble
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thaumasiotes
2mo ago
That is in fact what the dictionary is supposed to do.
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thaumasiotes
2mo ago
> It's sad that pairs like true/false, good/bad, first/rest, and left/right are unequal length. You're just matching them wrong. On/off and yes/no may look unequal, but what about yes/off or o
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thaumasiotes
2mo ago
> If you knew somehow that some symbol corresponds to 20, then you’d know they didn’t use base 20 because base b doesn’t have a single symbol for b. Well, this is plainly false.
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thaumasiotes
2mo ago
I'm aware of the structure. My comments have said that it is a mistake -- not a logical impossibility, but a bad idea -- to use existing, interchangeable terms for crimes that are legally distinct. This mistake is usually avoided, bu
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