Quotes & Sayings About Lesson Observations

Two observations take us across the finish line. The Second Law ensures that entropy increases throughout the entire process, and so the information hidden within the hard drives, Kindles, old-fashioned paper books, and everything else you packed into the region is less than that hidden in the black hole. From the results of Bekenstein and Hawking, we know that the black hole's hidden information content is given by the area of its event horizon. Moreover, because you were careful not to overspill the original region of space, the black hole's event horizon coincides with the region's boundary, so the black hole's entropy equals the area of this surrounding surface. We thus learn an important lesson. The amount of information contained within a region of space, stored in any objects of any design, is always less than the area of the surface that surrounds the region (measured in square Planck units). — Brian Greene

Most of the people buying the Soviet paraphernalia were Americans and West Europeans. All would be sickened by the thought of wearing a swastika. None objected, however, to wearing the hammer and sickle on a T-shirt or a hat. It was a minor observation, but sometimes, it is through just such minor observations that a cultural mood is best observed. For here, the lesson could not have been clearer: while the symbol of one mass murder fills us with horror, the symbol of another mass murder makes us laugh. — Anne Applebaum