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WHEN WE were taught 1, 2, 3 and A, B, C, few of us were ever told about the Game of Black-and-White. It is quite as simple, but belongs to the hushed-up side of things. Consider, first, that all your five senses are differing forms of one basic sense—something like touch. Seeing is highly sensitive touching. The eyes…
To begin with, the findings of science imply that the belief systems of all the world’s traditional religions and cultures—their theories of the genesis of the world, life, humans, and societies—are factually mistaken. We know, but our ancestors did not, that humans belong to a single species of African primate that…
As I gathered information for this book, I was continually reminded of the reality that science, rooted as it is in the certainties of the physical world, is a process that necessarily unfolds over time. In school, science classes tend to work according to this linear model; there's a “beginning, middle, and end” to…
In the physical world, the only way to learn tomorrow’s weather in detail is to wait twenty-four hours and see, even if nothing is random at all. The universe is computing tomorrow’s weather as rapidly and as efficiently as possible; any smaller model is inaccurate, and the smallest error is amplified into large…
To begin with, the findings of science entail that the belief systems of all the world’s traditional religions and cultures—their theories of the origins of life, humans, and societies—are factually mistaken. We know, but our ancestors did not, that humans belong to a single species of African primate that developed…
Perhaps the best way to describe the flawed vision of fin de siecle futurists is to say that, with few exceptions, they expected the coming of an ''immaculate'' economy -- one in which people would be largely emancipated from any grubby involvement with the physical world. The future, everyone insisted, would bring an…
I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations. * * * Let us suppose that I am giving a lecture on some system of geometry, such…
It will be noticed that the fundamental theorem proved above bears some remarkable resemblances to the second law of thermodynamics. Both are properties of populations, or aggregates, true irrespective of the nature of the units which compose them; both are statistical laws; each requires the constant increase of a…
The steady progress of physics requires for its theoretical formulation a mathematics which get continually more advanced. ... it was expected that mathematics would get more and more complicated, but would rest on a permanent basis of axioms and definitions, while actually the modern physical developments have…
The mortal enemies of man are not his fellows of another continent or race; they are the aspects of the physical world which limit or challenge his control, the disease germs that attack him and his domesticated plants and animals, and the insects that carry many of these germs as well as working notable direct…
“What will happen? When we leave the world of the dead, will we live again? Or will we vanish as our daemons did? Brothers, sisters, we shouldn’t follow this child anywhere till we know what’s going to happen to us!” Others took up the question: “Yes, tell us where we’re going! Tell us what to expect! We won’t go…
As scientists we think that everything is mediated by physical causality of some sort, including our interactions with other people. There are, in fact, light and sound waves that go from one person to another even if we can't see them with the naked eye. But from our everyday point of view, it appears we are able to…
One of the things that I've been thinking about off and on over the last five-plus years is, "Why is programming so hard?" You have the algorithmic side of programming and that's i close enough to mathematics that you can use mathematics as the basic model, if you will, for what goes on in it. You can use mathematical…
Before the Internet, I made more trips to the library and more phone calls. I read more books and my point of view was narrower and less informed. I walked more, biked more, hiked more, and played more. I made love more often. [...] How has the Internet changed my thinking? The more I’ve loved and known it, the…