数学和自然语言 Mathematician
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1.介绍 “上帝是数学家”,James Jeans先生如此说。在一系列的写于20世纪30年代,流行和有影响力的书籍中,英国天文学家和物理学家认为,宇宙产生于纯思维,这就近乎于抽象数学的表达语言。但是为什么仅认为上帝应该在数学出现? 毕竟人类一些最令人印象深刻的成就,涉及了建筑学、诗歌、戏曲和艺术。 宇宙的本质不能平等地在一首交响乐中捕获或者在一首诗之内展现?(毕业设计) 三个世纪前,伽利略写了“伟大的自然书是用数学语言写的”观点,已经被时间和物理学家所认可。现在,数学在物理学中充任这样一个重要职位,一些评论家认为,它开始带领和指挥对物理的研究。在前沿领域,所谓Superstrings,有些评论家争辩说,数学缺乏深物理想法,它其实是在填补物理留下的空白。但是数学为什么在物理扮演这样一个强有力的角色? 它的中心地位是必然的吗?目前数学和物理的关系是良好的,否则,数学有时会阻碍创作,在这篇文章中,我需要用自由推测的方法探索一些可能的答案,以为物资世界语言的根本性发展提供意见。 中文10000 英文7000
1. Introduction "God is a Mathematician", so said Sir James Jeans. In a series of popular and influential books, written in the 1930s, the British astronomer and physicist suggested that the universe arises out of pure thought that is couched in the language of abstract mathematics. But why should God think only in mathematics? After all, some of most impressive achievements of the human race have involved architecture, poetry, drama and art. Could the essence of the universe not equally be captured in a symphony, or unfolded within a poem? Three centuries earlier, Galileo had written, "Nature's great book is written in mathematical language" an opinion that has wholeheartedly been endorsed by physicists of our own time. Mathematics today occupies such an important position in physics that some commentators have argued that it has begun to lead and direct research in physics. In a frontier field , called Superstrings, some critics are arguing that mathematics is actually filling in the gaps left by the lack of any deep physical ideas. But why should mathematics play such a powerful role in physics? Is its central position inevitable? And is the present marriage between physics and mathematics always healthy, or are there ways in which mathematics may, at times, block creativity? In this essay I want to explore, in a speculative and free-wheeling way, some possible answers to these questions and to make some suggestions as to some radical developments in a language for the physical world. |