数学最终会描述自然吗?

IF 0.3 0 PHILOSOPHY
J. R. Johnson
{"title":"数学最终会描述自然吗?","authors":"J. R. Johnson","doi":"10.29202/phil-cosm/23/3","DOIUrl":null,"url":null,"abstract":"It has been almost eighty years since Paul Dirac delivered a lecture on the relationship between mathematics and physics and since 1960 that Eugene Wigner wrote about the unreasonable effectiveness of mathematics in the natural sciences. The field of cosmology and efforts to define a more comprehensive theory (String Theory) have changed significantly since the 1960s; thus, it is time to refocus on the issue. This paper expands on ideas addressed by these two great physicists, specifically, the ultimate effectiveness of mathematics to describe nature. After illustrating how theoretical physic predicted discoveries, the concepts of established theories are summarized. Then, the “world equation” which combines all key physics theories is conceptually described. As the possible last piece of the puzzle, String Theory is briefly defined. And last, a cursory overview of an extreme proposal is presented — the world as a mathematical object. However, there is no fundamental reason to believe that math will allow mankind to completely comprehend nature. If math does not provide a comprehensive theory, nature will retain her secrets.","PeriodicalId":42240,"journal":{"name":"Philosophy and Cosmology-Filosofiya i Kosmologiya","volume":"1246 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Will Mathematics Ultimately Describe Nature?\",\"authors\":\"J. R. Johnson\",\"doi\":\"10.29202/phil-cosm/23/3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It has been almost eighty years since Paul Dirac delivered a lecture on the relationship between mathematics and physics and since 1960 that Eugene Wigner wrote about the unreasonable effectiveness of mathematics in the natural sciences. The field of cosmology and efforts to define a more comprehensive theory (String Theory) have changed significantly since the 1960s; thus, it is time to refocus on the issue. This paper expands on ideas addressed by these two great physicists, specifically, the ultimate effectiveness of mathematics to describe nature. After illustrating how theoretical physic predicted discoveries, the concepts of established theories are summarized. Then, the “world equation” which combines all key physics theories is conceptually described. As the possible last piece of the puzzle, String Theory is briefly defined. And last, a cursory overview of an extreme proposal is presented — the world as a mathematical object. However, there is no fundamental reason to believe that math will allow mankind to completely comprehend nature. If math does not provide a comprehensive theory, nature will retain her secrets.\",\"PeriodicalId\":42240,\"journal\":{\"name\":\"Philosophy and Cosmology-Filosofiya i Kosmologiya\",\"volume\":\"1246 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2019-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophy and Cosmology-Filosofiya i Kosmologiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29202/phil-cosm/23/3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"0\",\"JCRName\":\"PHILOSOPHY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophy and Cosmology-Filosofiya i Kosmologiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29202/phil-cosm/23/3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}
引用次数: 2

摘要

保罗·狄拉克(Paul Dirac)发表关于数学与物理关系的演讲,尤金·维格纳(Eugene Wigner)在1960年写下数学在自然科学中不可思议的有效性,至今已近80年。自20世纪60年代以来,宇宙学领域和定义一个更全面的理论(弦理论)的努力发生了重大变化;因此,现在是重新关注这个问题的时候了。这篇论文扩展了这两位伟大物理学家的观点,特别是数学在描述自然方面的最终有效性。在说明了理论物理如何预测发现之后,总结了已建立的理论的概念。然后,从概念上描述了结合所有关键物理理论的“世界方程”。作为最后一块拼图,弦理论被简单地定义了。最后,我们粗略地概述了一个极端的建议——把世界看作一个数学对象。然而,没有根本的理由相信数学将使人类完全理解自然。如果数学不能提供一个全面的理论,大自然将保留她的秘密。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Will Mathematics Ultimately Describe Nature?
It has been almost eighty years since Paul Dirac delivered a lecture on the relationship between mathematics and physics and since 1960 that Eugene Wigner wrote about the unreasonable effectiveness of mathematics in the natural sciences. The field of cosmology and efforts to define a more comprehensive theory (String Theory) have changed significantly since the 1960s; thus, it is time to refocus on the issue. This paper expands on ideas addressed by these two great physicists, specifically, the ultimate effectiveness of mathematics to describe nature. After illustrating how theoretical physic predicted discoveries, the concepts of established theories are summarized. Then, the “world equation” which combines all key physics theories is conceptually described. As the possible last piece of the puzzle, String Theory is briefly defined. And last, a cursory overview of an extreme proposal is presented — the world as a mathematical object. However, there is no fundamental reason to believe that math will allow mankind to completely comprehend nature. If math does not provide a comprehensive theory, nature will retain her secrets.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
25.00%
发文量
27
审稿时长
8 weeks
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信