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" ... But there is no contradiction here, just some counterintuitive behavior. It teaches us that we probably can’t split a black hole in two without getting a whole bunch of extra entropy out. It teaches us that using a quantity like density for a black hole means we have to be careful, and are irresponsible if we just divide its mass by the event horizon’s volume. And it teaches us, if we bother to calculate it, that the spatial curvature at the event horizon is enormous for low-mass black holes, but barely discernible for high-mass black holes. A non-rotating black hole has an infinite density, but a rotating one will have its mass spread out across a ring-like shape, with the rotational rate and the total mass determining the black hole’s linear density. ... "
" ... Neither Baudelaire nor Bergson was wrong, and there is no contradiction in this because they were each concerned with a different aspect of a phenomenon that has both objective and subjective dimensions. A conventional clock, beholden to numerical progression based on the action of a literal or metaphorical escapement, is not suited to show durée. And a memoir, which might capture durée quite effectively, will not tell you that your plane is about to depart, because it ceases to change after it’s written (at least if it’s printed on acid-free paper). ... "
" ... Therein lies the great contradiction of deep learning today: machines which perform at superhuman levels much of the time, only to spectacularly fail at any moment in the most unexpected and counterintuitive ways. ... "
" ... Washington secured the nascent democracy as general and as its first president (1789-1799). As a Baptist pastor, King led a mass movement for freedom and human rights in the twentieth century. Washington accepted slavery even while he defended the revolution. In confronting white supremacy, King challenged a fundamental contradiction at the heart of the United States, one that denies equality for all. One was a slave owner. The other was descended from slaves. ... "
" ... had more information about her complete financial situation. An outside analysis may be in direct contradiction to something else in her financial life. ... "