The relevant paragraph literally starts with "In India", where, yes, it's obviously the case that Hindus are not marginalized.
Be absolutely ruthless with technical debt. Opus is perfectly capable of producing idiomatic code in any mainstream language you please, but will seize on any opportunity to justify writing basically-python instead…
I also work on a large complex rust project (>1M LOC) with extensive use of Claude Code. It is very consistent with my experience. Claude frequently subverts the obvious intent of the system - whether that's expressed…
Yes, and? Something can be both scare and inadequate to a given task. FAANG L5s cost a pretty penny but I wouldn't trust a random one to prove a crypto library correct.
Agreed that we're not at saturation, but we don't have a canonical "best" either. For example ChatGPT 5.5 + Codex is, in my experience, vastly superior to Opus 4.7 + Claude Code at sufficiently well-specified Haskell,…
You're presuming too much about what OP's quality standards are. Can SOTA models outperform the average junior engineer? Yes, obviously. Can they match the best human engineers, if those humans were given all the time…
I do this for debugging. Models are extremely vulnerable to framing effects and it's usually easier to spin up a fresh instance than it is to get an existing one to generate new hypotheses.
> The C that shows up in quantum mechanics is likely an example of this--it's a case of physics having a a circular symmetry embedded in it (the phase of the wave functions) and everyone getting attached to their…
Classical logic is the presumed default for mathematics, if someone is working in a different system they will say so explicitly.
Lawyer rates are extremely high variance, and the NYT is not hiring anywhere near the median. White shoe firms break $1000/hr routinely.
> I thought a partner at a large law firm might get $ 500k or more per year Easily.
> but my understanding of copyright is that if a person when into a clean room and wrote an new article from scratch, without having read any NYT, that just so happened to be exactly the same as an existing NYT article,…
Life expectancy at birth is irrelevant, people who die in infancy don't consume many resources at all. What matters is the percentage of the population that's of working age, and here Germany is fairly typical for a…
Here's a less galactic version. Suppose you're implementing a binary tree where every leaf has to have the same height - a toy model of a self-balancing search tree. Here's an implementation using GADTs and type-level…
> Yet Turing machines are about as far from abstract mathematics as one can get, because you can actually build these things in our physical universe and observe their behavior over time (except for the whole "infinite…
Imaginary numbers aren't a field, so there's no such thing. Clifford algebras over the complex numbers work fine, but it's usually not what the people talking about "geometric algebra" are doing.
"Geometric algebras" are Clifford algebras over the reals. Differential geometry is probably the field where you're most likely to see mathematicians discuss them, though they also come up in certain (closely related)…
There's no mathematically natural choice. In physical settings, on the other hand, you almost always want the one induced by the metric.
Sorry, yes, typo.
To an extent. A truly completely formal proof, as in symbol manipulation according to the rules of some formal system, no. It's valid or it isn't. But no one actually works like this. There are varying degrees of…
You're conflating a few things here. Constructivists are only interested in constructive proofs: if you want to claim "forall x in X, P(x) is true" then you need to exhibit a particular element of x for which P holds.…
> That's just a good practice in the general case: an intermediate type that fully described the data wouldn't have saved you from overwriting it unless you actually looked closely at the type signature. The issue isn't…
> Do you have an anecdote (just one!) of a case where TypeScript's lack of type system soundness bit you on a real application? Sure. The usual Java-style variance nonsense is probably the most common source, but I see…
There's not much connection. Typescript's record types aren't sound, but that's far from its only source of unsoundness, and sound structural typing is perfectly possible.
Because you don't want to have to enumerate every possible combination up front. Mixins are probably the closest OO concept.
The relevant paragraph literally starts with "In India", where, yes, it's obviously the case that Hindus are not marginalized.
Be absolutely ruthless with technical debt. Opus is perfectly capable of producing idiomatic code in any mainstream language you please, but will seize on any opportunity to justify writing basically-python instead…
I also work on a large complex rust project (>1M LOC) with extensive use of Claude Code. It is very consistent with my experience. Claude frequently subverts the obvious intent of the system - whether that's expressed…
Yes, and? Something can be both scare and inadequate to a given task. FAANG L5s cost a pretty penny but I wouldn't trust a random one to prove a crypto library correct.
Agreed that we're not at saturation, but we don't have a canonical "best" either. For example ChatGPT 5.5 + Codex is, in my experience, vastly superior to Opus 4.7 + Claude Code at sufficiently well-specified Haskell,…
You're presuming too much about what OP's quality standards are. Can SOTA models outperform the average junior engineer? Yes, obviously. Can they match the best human engineers, if those humans were given all the time…
I do this for debugging. Models are extremely vulnerable to framing effects and it's usually easier to spin up a fresh instance than it is to get an existing one to generate new hypotheses.
> The C that shows up in quantum mechanics is likely an example of this--it's a case of physics having a a circular symmetry embedded in it (the phase of the wave functions) and everyone getting attached to their…
Classical logic is the presumed default for mathematics, if someone is working in a different system they will say so explicitly.
Lawyer rates are extremely high variance, and the NYT is not hiring anywhere near the median. White shoe firms break $1000/hr routinely.
> I thought a partner at a large law firm might get $ 500k or more per year Easily.
> but my understanding of copyright is that if a person when into a clean room and wrote an new article from scratch, without having read any NYT, that just so happened to be exactly the same as an existing NYT article,…
Life expectancy at birth is irrelevant, people who die in infancy don't consume many resources at all. What matters is the percentage of the population that's of working age, and here Germany is fairly typical for a…
Here's a less galactic version. Suppose you're implementing a binary tree where every leaf has to have the same height - a toy model of a self-balancing search tree. Here's an implementation using GADTs and type-level…
> Yet Turing machines are about as far from abstract mathematics as one can get, because you can actually build these things in our physical universe and observe their behavior over time (except for the whole "infinite…
Imaginary numbers aren't a field, so there's no such thing. Clifford algebras over the complex numbers work fine, but it's usually not what the people talking about "geometric algebra" are doing.
"Geometric algebras" are Clifford algebras over the reals. Differential geometry is probably the field where you're most likely to see mathematicians discuss them, though they also come up in certain (closely related)…
There's no mathematically natural choice. In physical settings, on the other hand, you almost always want the one induced by the metric.
Sorry, yes, typo.
To an extent. A truly completely formal proof, as in symbol manipulation according to the rules of some formal system, no. It's valid or it isn't. But no one actually works like this. There are varying degrees of…
You're conflating a few things here. Constructivists are only interested in constructive proofs: if you want to claim "forall x in X, P(x) is true" then you need to exhibit a particular element of x for which P holds.…
> That's just a good practice in the general case: an intermediate type that fully described the data wouldn't have saved you from overwriting it unless you actually looked closely at the type signature. The issue isn't…
> Do you have an anecdote (just one!) of a case where TypeScript's lack of type system soundness bit you on a real application? Sure. The usual Java-style variance nonsense is probably the most common source, but I see…
There's not much connection. Typescript's record types aren't sound, but that's far from its only source of unsoundness, and sound structural typing is perfectly possible.
Because you don't want to have to enumerate every possible combination up front. Mixins are probably the closest OO concept.