History of scientific ideas

Name: History of scientific ideas
Author: Whewell, William

Whewell, William

Science -- Philosophy

_Art._   1. Memory.
           2. Sense of Successiveness
           3. Implies Activity.
           4. Number also does so.
           5. And apprehension of Rhythm.
 Note to Chapter X.                                              145

CHAP. XI. OF MATHEMATICAL REASONING                              147

  _Art._   1. Discursive Reasoning.
           2. Technical Terms of Reasoning.
           3. Geometrical Analysis and Synthesis.

CHAP. XII. OF THE FOUNDATIONS OF THE HIGHER MATHEMATICS          151

  _Art._   1. The Idea of a Limit.
           2. The use of General Symbols.
           3. Connexion of Symbols and Analysis.

CHAP. XIII. THE DOCTRINE OF MOTION                                156

_Art._ 1. Pure Mechanism.
            2. Formal Astronomy.

CHAP. XIV. OF THE APPLICATION OF MATHEMATICS TO THE INDUCTIVE
           SCIENCES                                               159

  _Art._   1. The Ideas of Space and Number are clear from
              the first.
           2. Their application in Astronomy.
           3. Conic Sections, &c.
           4. Arabian Numerals.
           5. Newton's Lemmas.
           6. Tides.
           7. Mechanics.
           8. Optics.
           9. Conclusion.
{xii}

BOOK III.

THE PHILOSOPHY OF THE MECHANICAL SCIENCES.

CHAP. I. OF THE MECHANICAL SCIENCES                              171

CHAP. II. OF THE IDEA OF CAUSE                                   173

  _Art._   1. Not derived from Observation,
           2. As appears by its use.
           3. Cause cannot be observed.
           4. Is Cause only constant succession?
           5. Other reasons.

CHAP. III. MODERN OPINIONS RESPECTING THE IDEA OF CAUSE          178

  _Art._   1. Hume's Doctrine.
           2. Stewart and Brown.
           3. Kant.
           4. Relation of Kant and Brown.
           5. Axioms flow from the Idea.
           6. The Idea implies activity in the Mind.

CHAP. IV. OF THE AXIOMS WHICH RELATE TO THE IDEA OF CAUSE        184

  _Art._   1. Causes are Abstract Conceptions.
           2. First Axiom.
           3. Second Axiom.
           4. Limitation of the Second Axiom.
           5. Third Axiom.
           6. Extent of the Third Axiom.

CHAP. V. OF THE ORIGIN OF OUR CONCEPTIONS OF FORCE AND MATTER    205

  _Art._   1. Force.
           2. Matter.
           3. Solidity.
           4. Inertia.
           5. Application.
{xiii}

CHAP. VI. OF THE ESTABLISHMENT OF THE PRINCIPLES OF STATICS      212

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History of scientific ideas

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