Casti(1996)曾经给出所谓“三个世界”观点:基于观测事实的现实世界(real world),基于逻辑推理的数学世界(mathematical world),以及模型建设和参数估计的计算世界(computational world)。
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尤其当1956年,他们的同事纽曼(James Newman)主编的一套丛书《数学世界》(The World of Mathematics)意外畅销之后,他们更是跃跃欲试。
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申请版面英文名称: math 申请版面中文名称: 数学世界 ----------------------------------------------------------- 目前居住城市: 唐山 ---
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他们就像是数学世界的氢和氧一样。
They are like the hydrogen and oxygen of the world of mathematics.
<看看欧几里德:穿过奇妙数学世界的惊奇之行>.
Here’s Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math.
在这些例子中,类的对象与现实世界(或者至少是数学世界)中的一些实体都有显著的对应关系。
In each case there is an obvious correspondence between the object and some entity in the real world (or at least a mathematical world).
So, what we're dealing here with is a situation where the ancient Greeks were very much into mathematics as a way of explaining the world and explaining music in particular And they thought these ratios were primary.
那么,我们现在要潜心琢磨,古希腊人热衷于,用数学来解释世界,尤其是音乐的这种情形,他们认为这些比例才是基础
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