Pretentious Penguin

10

I was assigned this reading for a class once but only skimmed it - now I wish I'd read it more closely!

10

Okay, so by "wavefunction as a classical mathematical object" you mean a vector in Hilbert space? In that case, what do you mean by the adjective "classical"?

10

Why do you speak of deterministic, stochastic, and quantum as three options for a fundamental ontology? In the absence of a measurement/collapse postulate, quantum mechanics is a deterministic theory, and with a collapse postulate, it's a stochastic theory in the sense that the state of the system evolves deterministically except for instantaneous stochastic jumps when "measurements" occur.

Also, what do you mean by "the wavefunction as a classical mathematical object"?

20

Where could I find the proof that “as quantum amplitude of a piece of the wavefunction goes to zero, the probability that I will ‘find myself’ in that piece also goes to zero” is equivalent to the Born rule?

21

The entirety of Japanese society, government, politics, economy, etc, changed dramatically beginning in the late 1940’s, in a rather sudden way largely due to the influence of a foreign power. Thus I think that the fact that formal legal equality for women in Japan began in the late 40’s, and Japan’s fertility rate decline also began in the late 40’s, provides extremely little information on the relationship between gender equality and fertility in developed countries. Edit: Thomas Kwa already said basically the same thing, I just didn’t see his comment when I wrote mine.

20

Is it still true that “more gender egalitarian countries have lower fertility rates” if you only include industrialized / wealthy countries? Thinking off the top of my head, some of the least gender egalitarian OECD countries, South Korea and Japan, also have some of the lowest fertility rates.

31

Especially given the popularity of hpmor, I’m confused to learn that it’s common for rationalists to not want to fight bullying.

30

I'm glad you liked the article! As for your one disagreement with the quoted passage, I think the *all* in the phrase "all university mathematicians" is key to her point. Mathematicians at prestigious private universities and well-known state flagship universities are indeed able to teach university-level mathematics due to the adequate supply of mathematically-prepared students that remains despite bad k-12 math education. But a large percentage of university mathematicians are at less prestigious institutions where very few students major in math and most of the demand for math courses comes from students who didn't have a good math experience in k-12 schooling (and weren't taught math at home by mathematically savvy parents) but need to satisfy a gen ed requirement.

Hmmm, I think there's still some linguistic confusion remaining. While we certainly need to invent new mathematics to describe quantum field theory, are you making the stronger claim that there's something "non-native" about the way that wavefunctions in non-relativistic quantum mechanics are described using functional analysis? Especially since a lot of modern functional analysis theory was motivated by quantum mechanics, I don't see how a new branch of math could describe wavefunctions more natively.