I mean making sure you fill in the holes in a given subject makes sense, and it's not really purely living your life out enjoyment so much as, why make yourself unhappy when it's not necessary?
Balarka, I often gave some written questions to students who wanted to skip courses, and if they satisfied me on their knowledge, I let them skip and often awarded course credit.
@EricSilva: I often told my professor colleagues that certain predilections for faculty to do uninteresting proofs from which students learn nothing is precisely mathematical masturbation.
Meow: This wasn't in class — it was totally separate.
@Ted at least the neoliberal center is finally coming around to the idea that healthcare could be for everyone, but i still dont think i can ideologically mesh with mainstream american liberalism
@Lucas: I know how to do a similar question. Given three points on the unit circle, what's the probability that the center of the circle is inside the triangle they form?
I mean pure capitalism doesn't really seem like it can be ideal, as often more profit does not really seem like it has to always coincide with the interests of a society.
@Meow i guess you could talk about the links to american imperialism and capitalist society, how that has caused rampant destruction of the environment and undermined the ability of millions of people in e.g. latin america to economically self determine then that's an instance of how capitalism has failed
but it isn't really as simple as people proffering arguments for or against capitalism as there's a history of looking at capitalist society through a critical lens
well one of the standard arguments is that post-industrial revolution there has been a massive disparity/class-difference that has resulted in due to capitalism-based societal structure
And lest I be accused of making things up, that's precisely one of the incentives that Wisconsin offered FoxConn in order for it to set up a plant there.
@Meow it's a flaw of imperialism, which in the west has a lot to do with capitalism, you can't talk about inherent flaws when economics isn't a closed system to begin with
Using some ideas of Ted's proof, I proved the Cauchy-Schwarz inequality. Is that sufficient to say that there's a unique $\theta$ such that $\mathrm{cos \, \theta} = \frac{\mathbb{x \dot y}}{||\mathbb{x}|| \, ||\mathbb{y}}$
"what part of communism addresses these apparent flaws of capitalism?" - My point is that, what you're asking for, is written in a book that people have spent hundreds of years understanding, and you're not going to get a good understanding without reading it for yourself
@Lucas: \cdot, by the way, not \dot ... There's a unique $\theta$ with $\theta\in [0,\pi]$ satisfying that, because you know from Cauchy-Schwarz that you're getting a number between $-1$ and $1$.
@Meow I think an important thing is that I'm talking about is the marxist critique of capitalism, "communism" is a much more confusing term and not really appropriate here
@Semi I have a lot of friends who are super into Hegel and stuff and say it's much easier to understand dialectical materialism after understanding Hegel but I have tried and failed to understand it a bunch of times
@Meow part of Marx's argument is that the only way that the distribution of wealth is as unequal as it is is because of unfair exchange of commodoties by the people who control the distribution, so even if you "work" for it, it was unfair to have gained the wealth to begin with.
So enumerate $p_0,\ldots,p_m$ and compare $p_0$ and $p_1$, they have the separating open sets $U_{0,1}$ and $U_1$. Then compare $p_0$ and $p_2$, etc. So you have $U_{0,1},\ldots,U_{0,m},U_1,\ldots,U_m$
it's a problem when your reason for working is that you're forced to commodify yourself just to survive in a world that uses your labour to raise up people in power while oppressing people who don't
