History of scientific ideas

Name: History of scientific ideas
Author: Whewell, William

Whewell, William

Science -- Philosophy

ERRATUM, p. 157, l. 11 from top, _for_ sciences
_read_ science.




CONTENTS
OF
THE FIRST VOLUME.


                                                                PAGE
PREFACE                                                            v

PART I.
OF IDEAS.


INTRODUCTION                                                       3

BOOK I.

OF IDEAS IN GENERAL.

CHAP. I. OF THE FUNDAMENTAL ANTITHESIS OF PHILOSOPHY              23

_Sect._    1. _Thoughts and Things_                               --
           2. _Necessary and Experiential Truths_                 25
           3. _Deduction and Induction_                           27
           4. _Theories and Facts_                                29
           5. _Ideas and Sensations_                              30
           6. _Reflexion and Sensation_                           33
           7. _Subjective and Objective_                          35
           8. _Matter and Form_                                   38
           9. _Man the Interpreter of Nature_                     41
          10. _The Fundamental Antithesis is inseparable_         43
          11. _Successive Generalization_                         49
{viii}

CHAP. II. OF TECHNICAL TERMS                                      54

  _Art._   1. Examples.
           2. Use of Terms.

CHAP. III. OF NECESSARY TRUTHS                                    57

  _Art._   1. The two Elements of Knowledge,
           2. Shown by necessary Truths.
           3. Examples of necessary Truths in numbers.
           4. The opposite cannot be distinctly conceived.
           5. Other Examples.
           6. Universal Truths.

CHAP. IV. OF EXPERIENCE                                           65

  _Art._   1. Experience cannot prove necessary Truths,
           2. Except when aided by Ideas.

CHAP. V. OF THE GROUNDS OF NECESSARY TRUTHS                       69

  _Art._   1. These Grounds are Fundamental Ideas.
           2. These are to be reviewed.
           3. Definitions and Axioms.
           4. Syllogism,
           5. Produces no new Truths.
           6. Axioms needed.
           7. Axioms depend on Ideas:
           8. So do Definitions.
           9. Idea not completely expressed.

CHAP. VI. THE FUNDAMENTAL IDEAS ARE NOT DERIVED FROM EXPERIENCE   76

  _Art._   1. No connexion observed.
           2. Faculties implied in observation.
           3. We are to examine our Faculties.

CHAP. VII. OF THE PHILOSOPHY OF THE SCIENCES                      81

           Sciences arranged according to Ideas.
{ix}

BOOK II.

THE PHILOSOPHY OF THE PURE SCIENCES.

CHAP. I. OF THE PURE SCIENCES                                     88

  _Art._   1. Geometry, Arithmetic, Algebra,
           2. Are not Inductive Sciences:
           3. Are Mathematical Sciences.
           4. Mixed Mathematics.
           5. Space, Time, Number.

CHAP. II. OF THE IDEA OF SPACE                                    91

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History of scientific ideas

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