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Some mathematicians are birds, others are frogs. Birds fly high in the air and survey broad vistas of mathematics out to the far horizon. They delight in concepts that unify our thinking and bring together diverse problems from different parts of the landscape. Frogs live in the mud below and see only the flowers that…
he one remaining area that reHgion can now lay claim to is the origin of the universe, but even here science is making progress and should soon provide a definitive answer to how the universe began. I published a book that asked if God created the universe, and that caused something of a stir. People got upset that a…
The worm drives helically through the wood And does not know the dust left in the bore Once made the table integral and good; And suddenly the crystal hits the floor. Electrons find their paths in subtle ways, A massless eddy in a trail of smoke; The names of lovers, light of other days Perhaps you will not miss them…
Learning State While in the learning state of mind your objective should be to concentrate on learning and experimentation. You should play to win, and take matches seriously, but not be afraid to try different strategies for the purpose of learning. In this state you aim to maximize your learning, not your…
But while some amount of bullshit is inevitably forced on you, the bullshit that sneaks into your life by tricking you is no one's fault but your own. And yet the bullshit you choose may be harder to eliminate than the bullshit that's forced on you. Things that lure you into wasting your time on them have to be really…
Having kids showed me how to convert a continuous quantity, time, into discrete quantities. You only get 52 weekends with your 2 year old. If Christmas-as-magic lasts from say ages 3 to 10, you only get to watch your child experience it 8 times. And while it's impossible to say what is a lot or a little of a…
Such is the power of wargames: They create a virtual world players can experience, learn from, and integrate into their tactical and strategic decision making. Let's repeat what we said at the outset. If you had the opportunity to probe the future, make strategic choices, and view the consequences of those choices in…
Also, Star Wars is set in a fantasy past that can look like anything, while Trek is supposed to be a projection of what we imagine our own future to look like. And Star Wars has always been an exercise in nostalgia from the start — nostalgia for ’30s movie serials and comic strips, for ’40s war movies, for ’50s hot…
You will be thinking that we are coming to the end of this book: we’ve dealt with eight centuries, so there are only two to go. You may be surprised to learn, therefore, that in historical terms we are not even halfway. The reason for this discrepancy is that history is not time, and time is not history. History is…
I don't think in terms of one year, but I can tell people what I genuinely believe, which is that if we take responsibility in being involved in our own fate if we participate, if we engage, if we speak out, if we work in our communities, if we volunteer, if we see the joy that comes from service to others, then all…
It has been observed that if the last 50,000 years of man's existence were divided into lifetimes of approximately 62 years each, there have been 800 such lifetimes. Of the 800, fully 650 were spent in caves. Only during the last seventy lifetimes has it become possible to communicate effectively from one lifetime to…
We’ve already seen that money is an astounding thing because it can represent myriad di
Great Cooperative games make the play experience deliberately difficult; the game shouldn't be a cake walk. Mr. Glass's decision, therefore, is for him to assume the role of the game and present himself in opposition to his students—the players. He does this by instructing his students (working in groups designed to…
Most fantasy RPGs follow the tried and allegedly true formula, which strips them of anything ‘fantastic’ and grounds them in the dull ‘reality’ of the familiar. Sadly, the much coveted instant recognition usually means instantly forgettable. How many times should we save an utterly predictable and generic world before…
What concerns me is how our information networks have enabled us to become hyper-connected to geographically distant communities, while at the same time disconnected from our local ones. Virtual and long-distance relationships can enrich our lives in myriad ways, but I fear that our reliance on them has the potential…
Whereas teachers and school boards typically decide in advance what knowledge children should receive based on their age, emergent curriculum is the technique of letting topics for study arise out of student interests and actions. Curriculum becomes what actually happens, rather than what was planned to happen. After…
There is one person whose wants and needs you routinely ignore, opting instead to tend to your own immediate desires, and that person is future you. When it comes to making decisions that will have some effect on your long-term health or happiness — for example, whether or not to go to the gym today, in keeping with…
"LITTLE WARS" is the game of kings—for players in an inferior social position. It can be played by boys of every age from twelve to one hundred and fifty—and even later if the limbs remain sufficiently supple—by girls of the better sort, and by a few rare and gifted women. This is to be a full History of Little Wars…
“Right now, I’m a little thirsty, so I will drink a bit of water. And when I do that, I experience a thin slice of joy both in space and time,” he told CBC News. “It’s not like ‘Yay!”” he notes in Joy on Demand. “It’s like, ‘Oh, it’s kind of nice.’” Usually these events are unremarkable: a bite of food, the sensation…
Under the impact of this passage from simple to squared numbers, we all become aware that the entrance is open for the hominised consciousness into a new inner world: the world of the Universe as thought. But do we sufficiently notice that simultaneously, in the realm of the measurable and tangible, another form of '…