實證哲學教程
- 语言:
- 英语
- 状态:
- 完整作品
- 作者归属:
- 作者本人所著
- 文本状况:
- 文本清晰
- 篇幅:
- 约 200,000 词 · 938 个段落
引用本作品
- APA奥古斯特·孔德. (n.d.). 實證哲學教程. SigPhi. https://sigphiai.com/zh/works/auguste-comte/the-positive-philosophy-of-auguste-comte
- MLA奥古斯特·孔德. "實證哲學教程." SigPhi, https://sigphiai.com/zh/works/auguste-comte/the-positive-philosophy-of-auguste-comte.
- Chicago奥古斯特·孔德. 實證哲學教程. SigPhi. https://sigphiai.com/zh/works/auguste-comte/the-positive-philosophy-of-auguste-comte.
内容简介
孔德实证哲学的英文本，为哈丽雅特·马蒂诺的节缩本。
背景与流传
要紧的是明白自己读的是什么：马蒂诺并未全译《实证哲学教程》，而是把六卷压缩为两卷，删去重复、重排论证。因此这不是原本。不过，孔德读后颇为满意，甚至让人把它回译成法文供其学生使用——这在一部节缩本而言是罕见的权威。但凡涉及文本的问题，法文原本《教程》同样收在本目录中。
这是编辑性背景，不是可引用的来源：与作品本身的段落不同，这些说明无法在语料库中核对。
BOOK I. MATHEMATICS. mathkmatics, abstract and concrete. Description of Mathematics Object of Mathematics General Method E.xamples ..... True Definition of Mathematics Its two parts C0^• TENTS. Their difterent oLjects Their different natures Concrete Mathematics Abstract Mathematics Extent of its domain Its Universality Its limitations . XXXlll general view of mathematical analysis. Analysis . True idea of an equation Abstract functions . Concrete functions . Two parts of the Calculus Algebra . Arithmetic Its extent . Its nature . Algebra . Creation of new functions . . • • Finding equations between auxiliary quantities Division of the Calculus of functions . . Section 1. Ordinary Analysis, or Calculus of Direct tions ....•••• Its object ...••••• Classihcation of Equations .... Algebraic equations Algebraic resolution of equations . Om- existing knowledge . . . . • Numerical resolution of equations . The Theory of equations . _. _ . Method of indeterminate coefficients • , , • Section 2. Transcendental Analysis, or Calculus Functions . . Three principal views History ' . Method of Leibnitz . Generality of the formulas Justification of the Method Newton's Method. Method of Limits Fluxions and Ihients. Lagkange's Method . Identity of the three methods Their comparative value . - The Differenti.al and Integral Calculus Its two parts I. C of Indirect Tlieir mutual relations Cases of union of the two. Cases of the Differential calculus alone Cases of the Integral calculus alone. The Differential Cdlculus. Two ])ortions .... Subdivisions .... Reduction to the elements Transformation of derived functions for new variables Analytical applications . The Integral Caleulus Its divisions .... Subdivisions .... One variable or several Orders of differentiation . Quadratures .... Algebraic functions . Transcendental functions . Singular Solutions .…