I’d like this to be true, as I want the time I spend learning math in the future to be as useful as you say, but I seem to have come rather far by knowing the superficial version of a lot of things. Knowing the actual math from something like PT:LOS would be great, and I plan on reaching at least that level in the Bayesian conspiracy, but I can currently talk about things like quantum physics and UDT and speed priors and turn this into changes in expected anticipation. I don’t know what Kolmogorov complexity is, really, in a strictly formal from-the-axioms sense, nor Solomonoff induction, but I reference it or things related to it about 10 times a day in conversations at SIAI house, and people who know a lot more than I do mostly don’t laugh at my postulations. Perhaps you mean a deeper level of understanding? I’d like to achieve that, but my current level seems to be doing me well. Perhaps I’m an outlier. (I flunked out of high school calculus and ‘Algebra 2’ and haven’t learned any math since. I know the Wikipedia/Scholarpedia versions of a whole bunch of things, including information theory, computer science, algorithmic probability, set theory, etc., but I gloss over the fancy Greek letters and weird symbols and pretend I know the terms anyway.)
A public reminder to myself so as to make use of consistency pressure: I shouldn’t write comments like the one I wrote above. It lingers too long on a specific argument that is not particularly strong and was probably subconsciously fueled by a desire to talk about myself and perhaps countersignal to someone whose writing I respect (Phil Goetz).
I flunked out of high school calculus and ‘Algebra 2’ and haven’t learned any math since.
I have a belief that I can fix things like this, having spent time working with other students in high school. If I ever meet you in person, will you assist me in testing that belief? ;)
I’m pretty sure that most people around lesswrong have about the same level of familiarity with most subjects (outside whatever field they actually specialize). Although I do think that you are relatively weak in mathematics, but advanced math just really isn’t that important, vis-a-vis being generally well educated and rational.
I’d like this to be true, as I want the time I spend learning math in the future to be as useful as you say, but I seem to have come rather far by knowing the superficial version of a lot of things. Knowing the actual math from something like PT:LOS would be great, and I plan on reaching at least that level in the Bayesian conspiracy, but I can currently talk about things like quantum physics and UDT and speed priors and turn this into changes in expected anticipation. I don’t know what Kolmogorov complexity is, really, in a strictly formal from-the-axioms sense, nor Solomonoff induction, but I reference it or things related to it about 10 times a day in conversations at SIAI house, and people who know a lot more than I do mostly don’t laugh at my postulations. Perhaps you mean a deeper level of understanding? I’d like to achieve that, but my current level seems to be doing me well. Perhaps I’m an outlier. (I flunked out of high school calculus and ‘Algebra 2’ and haven’t learned any math since. I know the Wikipedia/Scholarpedia versions of a whole bunch of things, including information theory, computer science, algorithmic probability, set theory, etc., but I gloss over the fancy Greek letters and weird symbols and pretend I know the terms anyway.)
A public reminder to myself so as to make use of consistency pressure: I shouldn’t write comments like the one I wrote above. It lingers too long on a specific argument that is not particularly strong and was probably subconsciously fueled by a desire to talk about myself and perhaps countersignal to someone whose writing I respect (Phil Goetz).
I have a belief that I can fix things like this, having spent time working with other students in high school. If I ever meet you in person, will you assist me in testing that belief? ;)
I’m pretty sure that most people around lesswrong have about the same level of familiarity with most subjects (outside whatever field they actually specialize). Although I do think that you are relatively weak in mathematics, but advanced math just really isn’t that important, vis-a-vis being generally well educated and rational.