History of scientific ideas

Name: History of scientific ideas
Author: Whewell, William

Whewell, William

Science -- Philosophy

_Art._   1. Space is an Idea,
           2. Not derived from Experience,
           3. As Geometrical Truth shows.
           4. Space is a Form of Experience.
           5. The phrase not essential.

CHAP. III. OF SOME PECULIARITIES OF THE IDEA OF SPACE             95

  _Art._   1. Space is not an Abstract Notion.
           2. Space is infinite.
           3. Space is real.
           4. Space is a Form of Intuition.
           5. Figure.
           6. Three Dimensions.

CHAP. IV. OF THE DEFINITIONS AND AXIOMS WHICH RELATE TO SPACE     98

  _Art._   1. Geometry.
           2. Definitions.
           3. Axioms.
           4. Not Hypotheses.
           5. Axioms necessary.
           6. Straight Lines.
           7. Planes.
           8. Elementary Geometry.

CHAP. V. OF SOME OBJECTIONS WHICH HAVE BEEN MADE TO THE
         DOCTRINES STATED IN THE PREVIOUS CHAPTER                107

  _Art._   1. How is Geometry hypothetical?
           2. What was Stewart's view?
{x}
           3. 'Legitimate filiations' of Definitions.
           4. Is a Definition a complete explanation?
           5. Are some Axioms Definitions?
           6. Axiom concerning Circles.
           7. Can Axioms become truisms?
           8. Use of such.

CHAP. VI. OF THE PERCEPTION OF SPACE                             117

  _Art._   1. Which Senses apprehend Space?
           2. Perception of solid figure.
           3. Is an interpretation.
           4. May be analysed.
           5. Outline.
           6. Reversed convexity.
           7. Do we perceive Space by Touch?
           8. Brown's Opinion.
           9. The Muscular Sense.
          10. Bell's Opinion.
          11. Perception includes Activity.
          12. Perception of the Skyey Dome.
          13. Reid's Idomenians.
          14. Motion of the Eye.
          15. Searching Motion.
          16. Sensible Spot.
          17. Expressions implying Motion.

CHAP. VII. OF THE IDEA OF TIME                                   131

  _Art._   1. Time an Idea not derived from Experience.
           2. Time is a Form of Experience.
           3. Number.
           4. Is Time derived from Motion?

CHAP. VIII. OF SOME PECULIARITIES IN THE IDEA OF TIME            134

  _Art._   1. Time is not an Abstract Notion.
           2. Time is infinite.
           3. Time is a Form of Intuition.
           4. Time is of one Dimension,
           5. And no more.
           6. Rhythm.
           7. Alternation.
           8. Arithmetic.
{xi}

CHAP. IX. OF THE AXIOMS WHICH RELATE TO NUMBER                   138

  _Art._   1. Grounds of Arithmetic.
           2. Intuition.
           3. Arithmetical Axioms,
           4. Are Conditions of Numerical Reasoning
           5. In all Arithmetical Operations.
           6. Higher Numbers.

CHAP. X. OF THE PERCEPTION OF TIME AND NUMBER                    141

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History of scientific ideas

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