The positive philosophy of Auguste Comte;
- Language:
- English
- Status:
- Complete work
- Authorship:
- Written by the author
- Condition of the text:
- Clean text
- Extent:
- ~200,000 words · 938 passages
Cite this work
- APAAuguste Comte. (n.d.). The positive philosophy of Auguste Comte;. SigPhi. https://sigphiai.com/en/works/auguste-comte/the-positive-philosophy-of-auguste-comte
- MLAAuguste Comte. "The positive philosophy of Auguste Comte;." SigPhi, https://sigphiai.com/en/works/auguste-comte/the-positive-philosophy-of-auguste-comte.
- ChicagoAuguste Comte. The positive philosophy of Auguste Comte;. SigPhi. https://sigphiai.com/en/works/auguste-comte/the-positive-philosophy-of-auguste-comte.
What it is about
Comte's positive philosophy in English, in Harriet Martineau's condensed version.
Context and history
It matters to know what one is reading: Martineau did not translate the whole Cours but cut it from six volumes to two, trimming repetitions and reordering the argument. So this is not the original. That said, Comte read it and liked it well enough to have it translated back into French for his students, which gives a condensation unusual authority. For any question about the text, though, the original French Cours is in the catalogue too.
Editorial context, not a citable source: unlike the passages of the work itself, these statements cannot be checked against the corpus.
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 . Definite integrals Prospects of the Integral Calculus Caleitlus of Variations
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