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From Replacing Guilt, “Recklessness”: Recklessness is in the ability to say “screw the odds, I’m going to push forward on this path as hard as I can until a better path appears.” If the odds are low, a better path is more likely to appear sooner rather than later — but the reckless let that be a fact about the paths, and they don’t further allow low odds to prevent them from pushing forward on the best path they can currently see, as fast as possible.

What sphinx of cement and aluminum bashed open their skulls and ate up their brains and imagination? Moloch! Solitude! Filth! Ugliness! Ashcans and unobtainable dollars! Children screaming under the stairways! Boys sobbing in armies! Old men weeping in the parks! Moloch! Moloch! Nightmare of Moloch! Moloch the loveless! Mental Moloch! Moloch the heavy judger of men! Moloch the incomprehensible prison! Moloch the crossbone soulless jailhouse and Congress of sorrows! Moloch whose buildings are judgment! Moloch the vast stone of war!

Flashcards 2021-10-09 What is the $t$-substitution ($t = …$)?? $$ t = \tan^{-1}\left(\frac{\theta}{2}\right) $$ What is $\sin\theta$ in terms of $t$?? $$ \sin\theta = \frac{2t}{1 + t^2} $$ What is $\cos\theta$ in terms of $t$?? $$ \cos\theta = \frac{1 + t^2}{1 - t^2} $$ What is $\tan\theta$ in terms of $t$?? $$ \tan\theta = \frac{2t}{1 - t^2} $$ What triangle can you imagine for deriving the $t$-formulae?? 2021-10-12 What $t$-substitution could you make other than $t = \tan\left(\frac{\theta}{2}\right)$ in order to rewrite $\sin 2\theta$?

See Also [[Maths - Series]]S [[Further Maths - Series]]S Flashcards What is a recurrence relation?? A definition of a sequence that depends on the previous terms. If you specify $$U_{k+1} = U_k + 7$$ what must you also specify for it to define a sequence?? $$ U_1 = … $$ What does it mean for a recurrence relation to be decreasing in terms of $U_{n + 1}$ and $U_n$?? $$ U_{n + 1} < U_n $$

See Also [[Physics - Circular Motion]]S Flashcards What causes an object in an equilibrium position to start oscillating?? A force is applied that moves it from the equilibrium position. How are circular motion and oscillations linked?? Measuring the displacement along the $x$-axis of an object moving in a circle forms an oscillating wave. What is the formula for acceleration in simple harmonic motion?? $$ a = -\omega^2 x $$ What is always true about the direction of displacement and direction of acceleration in simple harmonic motion?

Flashcards What is a parametric equation?? An equation where $x$ and $y$ are defined in terms of a parameter $t$. How do you work out points for a parametric curve?? Plug in a value for $t$ and see what co-ordinate $(x, y)$ it generates. How can you convert a parametric curve to a Cartesian one?? Rearrange $x$ or $y$ to $t = …$ and then substitute. Backlinks [[Maths - Syllabus]]S Metadata date: 2021-10-05 18:04 tags: - '@?

From Replacing Guilt, “Failing with Abandon”: … @?todo Metadata date: 2021-10-05 16:37 tags: - '@?notes' - '@?rationality' - '@?public' - '@?safe-to-post-online' title: Failing with Abandon

Flashcards Parabolas How can you form a parabola from a cone?? Slice it parallel to its slope. Why must you slice a cone PARALLEL to the slope to form a parabola?? Otherwise you’d either get an ellipse or intersect the cone twice and get a hyperbola. What is the parametric equation that defines a parabola?? $$ x = at^2 $$ $$ y = 2at $$ When thinking about parabolas as a conic section, is it better to think of them symmetrical around the $x$-axis or $y$-axis?

Flashcards Backlinks [[Further Maths - Syllabus]]S Metadata date: 2021-10-05 16:31 tags: - '@?public' - '@?school' - '@?further-maths' - '@?inequalities' - '@?further-pure-1' - '@?safe-to-post-online' title: Further Maths - Inequalities

Metadata date: 2021-10-01 21:14 finished: false rating: -1 tags: - '@?notes' - '@?book' - '@?public' - '@?island' - '@?safe-to-post-online' title: Island

Man chooses if he is good or bad? This took me a while to finish because I stopped reading for about 2 months halfway through. I thought it was good, the description of the setting and atmosphere was amazing. Reading that first chapter as Steinbeck describes the Salinas Valley was great. Backlinks [[Book Notes]]N Metadata date: 2021-10-01 21:13 finished: true rating: 7 tags: - '@?notes' - '@?book' - '@?east-of-eden' - '@?

Man builds an AGI and then either destroys all of humanity or colonises $4\times 10^{20}$ stars. This book was really, really good. I’ve been interested in the idea of AI safety for a while now after reading LessWrong and this book was just full of so much good information and new perspectives. Flashcards Past developments and present capabilities Growth models and big history A few hundred thousand years ago, it took on the order of a million years to increase civilisations ability to support an extra one million citizens living at subsistence level.