语言学在德国计算史中的作用（1780-1840）

IF 0.4 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2025-06-01 DOI:10.1016/j.hm.2025.03.002

Tuska Benes

{"title":"语言学在德国计算史中的作用（1780-1840）","authors":"Tuska Benes","doi":"10.1016/j.hm.2025.03.002","DOIUrl":null,"url":null,"abstract":"<div><div>A late eighteenth-century linguistic turn in German intellectual life transformed language study into a method significant for the history of mathematics. Theologically inspired recognition of language's role in cognition encouraged Hamann to curtail the epistemological importance Kant and rationalists like Wolff bestowed on the symbolic forms of mathematics. Scholars within the tradition of general grammar, including Abel-Rémusat had upheld mathematics as a model of precision; in a debate over Chinese, Wilhelm von Humboldt insisted that historically contingent grammatical structures decisively shaped thought. Alexander von Humboldt interpreted the origins of the Indian positional method using his brother Wilhelm's typology of language structure, as linguistic such as Franz Bopp applied etymology to the history of number systems.</div></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"71 ","pages":"Pages 59-73"},"PeriodicalIF":0.4000,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Linguistics as method in German histories of numeracy, 1780–1840\",\"authors\":\"Tuska Benes\",\"doi\":\"10.1016/j.hm.2025.03.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A late eighteenth-century linguistic turn in German intellectual life transformed language study into a method significant for the history of mathematics. Theologically inspired recognition of language's role in cognition encouraged Hamann to curtail the epistemological importance Kant and rationalists like Wolff bestowed on the symbolic forms of mathematics. Scholars within the tradition of general grammar, including Abel-Rémusat had upheld mathematics as a model of precision; in a debate over Chinese, Wilhelm von Humboldt insisted that historically contingent grammatical structures decisively shaped thought. Alexander von Humboldt interpreted the origins of the Indian positional method using his brother Wilhelm's typology of language structure, as linguistic such as Franz Bopp applied etymology to the history of number systems.</div></div>\",\"PeriodicalId\":51061,\"journal\":{\"name\":\"Historia Mathematica\",\"volume\":\"71 \",\"pages\":\"Pages 59-73\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2025-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Historia Mathematica\",\"FirstCategoryId\":\"98\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0315086025000072\",\"RegionNum\":3,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Historia Mathematica","FirstCategoryId":"98","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0315086025000072","RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}

引用次数: 0

摘要

18世纪晚期德国知识分子生活中的语言学转变使语言研究成为一种对数学历史具有重要意义的方法。神学对语言在认知中的作用的认可，鼓励哈曼削弱康德和沃尔夫等理性主义者赋予数学符号形式的认识论重要性。一般语法传统中的学者，包括阿贝尔-雷姆萨特，都认为数学是精确的模型；洪堡（Wilhelm von Humboldt）在一次关于汉语的辩论中坚持认为，历史上偶然的语法结构决定性地塑造了思想。亚历山大·冯·洪堡（Alexander von Humboldt）用他的兄弟威廉（Wilhelm）的语言结构类型学解释了印度位置方法的起源，就像语言学家弗朗茨·波普（Franz Bopp）将词源学应用于数字系统的历史一样。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Linguistics as method in German histories of numeracy, 1780–1840

A late eighteenth-century linguistic turn in German intellectual life transformed language study into a method significant for the history of mathematics. Theologically inspired recognition of language's role in cognition encouraged Hamann to curtail the epistemological importance Kant and rationalists like Wolff bestowed on the symbolic forms of mathematics. Scholars within the tradition of general grammar, including Abel-Rémusat had upheld mathematics as a model of precision; in a debate over Chinese, Wilhelm von Humboldt insisted that historically contingent grammatical structures decisively shaped thought. Alexander von Humboldt interpreted the origins of the Indian positional method using his brother Wilhelm's typology of language structure, as linguistic such as Franz Bopp applied etymology to the history of number systems.

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

Historia Mathematica 数学-科学史与科学哲学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

72 days

期刊介绍： Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.