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[Playing notes on a piano] One... Two... Three... Four... Five... Six... Seven... Eight... Nine... Ten... Eleven... Twelve... 12 different pitches, and then back to where we began. Incredible! Fantastic! The mystical number 12. There are 12 hours in the A.M. and 12 hours in the P.M. The new day begins at 12 midnight…
It was comforting to know that someone like Lisa Nowak, who represents the best of the best of the best, can be driven to dramatic, irrational acts for love.
Trigonometry had to start with sea-people. It is the conclusion of British, German, and U.S.A. navies' experts that celestial—offshore—navigation be¬ gan with the South Pacific's island peoples. Much has been published on this subject. What is not as well pubHshed is the fact that the navigators on all those islands…
Music Theory. You will forgive me for turning, as I always do in moments of intellectual want, to my Webster's Collegiate Dictionary, which defines the word "theory" as, and we quote, "The analysis of a set of facts in their relation to one another." My friends, few words offer as much rational solace as does the word…
With Cosmos, Sagan sought to put an end to the fear and to inspire the kind of wonder Hubble's lectures had inspired in the 1930s and 1940s and the Moon landing had inspired in 1969. The series was enormously successful. For the first time since Hubble, a huge audience was engaged in exploring the grand questions of…
Have you ever met anyone with an encyclopedic knowledge of obscure rock bands? I knew a group of people in Los Angeles who spent their time browsing the used bins at record shops back in the days when music was recorded on vinyl (which is making a comeback these days, even though most kids have never heard anything…
Evolutionary biology historically has focused on a particular kind of change in heritable traits. Some traits enable an organism to have more offspring than other organisms in a population. In this way, a heritable trait can become more abundant in the next generation. It's a simiple numbers game. New traits appear…
Nor am I less persuaded, that you will agree with me in opinion, that there is nothing which can better deserve your patronage than the promotion of Science and Literature. Knowledge is in every country the surest basis of public happiness. In one in which the measures of Government receive their impression so…
Learning to pray, then as I understand it, is learning to listen with the mind and the heart – making oneself attentive to each exquisite detail of the world. It is a fearsome exhilarating task, best suited to solitude and silence. Such prayers are answered not with miracles tagged with our names, or those of our…
吾嘗終日而思矣，不如須臾之所學也。吾嘗跂而望矣，不如登高之博見也。登高而招，臂非加長也，而見者遠；順風而呼，聲非加疾也，而聞者彰。假輿馬者，非利足也，而致千里；假舟楫者，非能水也，而絕江河。君子生非異也，善假於物也。
I had at one time a very bad fever of which I almost died. In my fever I had a long consistent delirium. I dreamt that I was in Hell, and that Hell is a place full of all those happenings that are improbable but not impossible. The effects of this are curious. Some of the damned, when they first arrive below, imagine…
When Benjamin Franklin invented the lightning-rod, the clergy, both in England and America, with the enthusiastic support of George III, condemned it as an impious attempt to defeat the will of God. For, as all right-thinking people were aware, lightning is sent by God to punish impiety or some other grave sin—the…
Hieron asked Archimedes to discover, without damaging it, whether a certain crown or wreath was made of pure gold, or if the goldsmith had fraudulently alloyed it with some baser metal. While Archimedes was turning the problem over in his mind, he chanced to be in the bath house. There, as he was sitting in the bath…
Measurement has too often been the leitmotif of many investigations rather than the experimental examination of hypotheses. Mounds of data are collected, which are statistically decorous and methodologically unimpeachable, but conclusions are often trivial and rarely useful in decision making. This results from an…
How near one Species to the next is join'd, The due Gradations please a thinking Mind; and there are Creatures which no eye can see, That for a Moment live and breathe like me: Whom a small Fly in bulk as far exceeds, As yon tall Cedar does the waving Reeds: These we can reach—and may we not suppose There still are…
Adam is fading out. It is on account of Darwin and that crowd. I can see that he is not going to last much longer. There's a plenty of signs. He is getting belittled to a germ—a little bit of a speck that you can't see without a microscope powerful enough to raise a gnat to the size of a church. They take that speck…
I have had a fairly long life, above all a very happy one, and I think that I shall be remembered with some regrets and perhaps leave some reputation behind me. What more could I ask? The events in which I am involved will probably save me from the troubles of old age. I shall die in full possession of my faculties…
At the outset do not be worried about this big question—Truth. It is a very simple matter if each one of you starts with the desire to get as much as possible. No human being is constituted to know the truth, the whole truth, and nothing but the truth; and even the best of men must be content with fragments, with…
With respect to those who may ask why Nature does not produce new beings? We may enquire of them in turn, upon what foundation they suppose this fact? What it is that authorizes them to believe this sterility in Nature? Know they if, in the various combinations which she is every instant forming, Nature be not…
Now, in the development of our knowledge of the workings of Nature out of the tremendously complex assemblage of phenomena presented to the scientific inquirer, mathematics plays in some respects a very limited, in others a very important part. As regards the limitations, it is merely necessary to refer to the…