Instance properties are PascalCase.
kogasa
joined 1 year ago
Yeah, properties (like a field but with a getter and/or setter method, may or may not be backed by a field) are PascalCase
That's an instance property
Yes, with Iosevka font
Stokes' theorem. Almost the same thing as the high school one. It generalizes the fundamental theorem of calculus to arbitrary smooth manifolds. In the case that M is the interval [a, x] and ω is the differential 1-form f(t)dt on M, one has dω = f'(t)dt and ∂M is the oriented tuple {+x, -a}. Integrating f(t)dt over a finite set of oriented points is the same as evaluating at each point and summing, with negatively-oriented points getting a negative sign. Then Stokes' theorem as written says that f(x) - f(a) = integral from a to x of f'(t) dt.
Your first two paragraphs seem to rail against a philosophical conclusion made by the authors by virtue of carrying out the Turing test. Something like "this is evidence of machine consciousness" for example. I don't really get the impression that any such claim was made, or that more education in epistemology would have changed anything.
In a world where GPT4 exists, the question of whether one person can be fooled by one chatbot in one conversation is long since uninteresting. The question of whether specific models can achieve statistically significant success is maybe a bit more compelling, not because it's some kind of breakthrough but because it makes a generalized claim.
Re: your edit, Turing explicitly puts forth the imitation game scenario as a practicable proxy for the question of machine intelligence, "can machines think?". He directly argues that this scenario is indeed a reasonable proxy for that question. His argument, as he admits, is not a strongly held conviction or rigorous argument, but "recitations tending to produce belief," insofar as they are hard to rebut, or their rebuttals tend to be flawed. The whole paper was to poke at the apparent differences between (a futuristic) machine intelligence and human intelligence. In this way, the Turing test is indeed a measure of intelligence. It's not to say that a machine passing the test is somehow in possession of a human-like mind or has reached a significant milestone of intelligence.
I don't think the methodology is the issue with this one. 500 people can absolutely be a legitimate sample size. Under basic assumptions about the sample being representative and the effect size being sufficiently large you do not need more than a couple hundred participants to make statistically significant observations. 54% being close to 50% doesn't mean the result is inconclusive. With an ideal sample it means people couldn't reliably differentiate the human from the bot, which is presumably what the researchers believed is of interest.
Hom functors exist for locally small categories, which is just to say that the hom classes are sets. The distinction can be ignored often because local smallness is a trivial consequence of how the category is defined, but it's not generally true
Didn't ask
You don't need to use the same one. Just don't expose it publicly in libraries.
Okay, but this makes more sense as an instance method rather than a static one