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Dynamics of Spacetime Theories: From Newton to Friedman by Mind Map: Dynamics of Spacetime Theories: From Newton to Friedman
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Dynamics of Spacetime Theories: From Newton to Friedman

VI. Reconsidering Friedman and the A Priori

I. Friedman and the A Priori

1. Introduction

Den overordnede struktur er som følger: Barmhjertig læsning af Friedman. Dernæst Lange's kritiske review. Afslutningsvis liste af problematikker, som jeg senere vil tage fat på.

2. Challenging Naturalism

3. Reichenbach and the Relativized A Priori

4. The Tripartite Structure of Newtonian Physics

5. The Tripartite Structure of General Relativity

6. Logical Space and Empirical Space

7. Constitutive Principles as Necessary, Non-empirical Presuppositions

8. The Michelson-Morley Experiments

9. Lorentz vs. Einstein

Umiddelbart må det være i dette afsnit, hvor jeg i henhold til min markering i teksten bør skrive noget om forholdet mellem Friedman og Poincaré. Netop fordi jeg i dette afsnit kommer ind på, at Friedman henviser til Poincaré.

10. The Relativistic Challenge

11. The Idea of Prospective Communicative Rationality

Jeg skal have styr på, om teksten stadigvæk har en tilstrækkelig rød tråd, eftersom jeg har slettet flere afsnit. Tilføj muligvis Cassirer-tolkningen af det regulative. Ikke mindst for at gøre forskellen til geometrisk konventionalisme mere tydelig.

12. Lange’s Critique of Friedman

13. Conclusion

1. Mein Fahrplan

II. Newton, Relativity and Motion

1. Introduction

2. The Logical Positivists’ Reception

3. The Space-Time Perspective

4. DiSalle’s Critique of the Contemporary View

Umiddelbart må det være helt i bunden af afsnittet om "Absolute Space and Absolute Motion", at jeg har tænkt mig at skrive et ekstra afsnit om DiSalles' tolkning af Newton & konventionalisme.

1. Newton’s Analysis of Descartes’ Concepts of Motion

2. Absolute Time

3. Absolute Space and Absolute Motion

4. Newton and Conventionalism

5. Discussing DiSalle

6. Newton’s Scholium

2. Argument from Causes

3. The Rotating Bucket

1. The Metaphysics of Motion

7. The Epistemology of Motion

8. Time and Relativity

9. Conclusion

III. On the Electrodynamic Origins of Special Relativity Theory

1. Introduction

2. The Relative Motion of the Earth and the Aether

3. The Michelson-Morley Experiments

4. Lorentz’s Aether Program

Inden første under-afsnit om origins bør jeg nok tjekke op på min redegørelse for forholdet mellem Maxwell og Lorentz. Især min skødesløse gengivelse af den såkaldte "convective derivative" er kritisabel. Jeg mindes afsnit herom i min "hvide bog" om solid mechanics!

1. The Origin of the Lorentz Transformations

2. Electrostatics

3. Theory of Corresponding States

4. Lorentz Contraction

5. Summary

5. Poincaré’s Physics of Principles

Teksten inden underafsnittet om Poincarés kritik af Lorentz skrives helt om iht. mit X-mindmap Afhandlingens Poincaré-afsnit.

1. Poincaré’s Criticism of Lorentz

2. Poincaré’s Contribution to the Lorentz Jubilee

3. Summary

6. Improving the Theory of Corresponding States

Her vil jeg jo gerne inddrage Janssens artikel om Abraham, Lorentz, elektonmodellen og relativitetsprincippet. Spørgsmålet er bare i hvor høj grad det kan integreres. En anden mulighed er efterfølgende at gøre opmærksom på ovennævnte forhold. Her kan jeg så komme ind på Lorentzs force formula som en slags epistemologisk RP! Beslutning: Jeg skal "kun" retrospektivt skrive noget om Lorentzs tanker om elektronmodellen og relativitetsprincippet, dvs. i sammenhæng med Poincarés kritik af Lorentz. Nix pille i mine Lorentz-afsnit!

1. Lorentz and the Covariance of Maxwell’s Equations

2. Retarded Potentials and Electric Dipole Moment

3. Lorentz Contraction Revisited

4. Optics Revisited

5. Electromagnetic Mass of an Electron

6. Determination of l

7. Lorentz’s Force Formula and Relativistic Momentum

8. Invariance of Optical Phenomena

9. Molecular Motion

10. Summary

7. Poincaré's Response

1. 1904 St. Louis Lecture

2. Poincaré's 1906 Article

3. The New Mechanics (1906-1908)

4. Summary

8. Einstein's 1905 Relativity Paper

1. Preliminary Formulation of Einstein’s 1905 Principles

2. Einstein’s Construction of Natural Coordinates

3. The Principles of Relativity

4. Einstein’s 1905 Derivation of the Lorentz Transformations

5. Summary

9. Conclusion

IV. Reichenbach, Relativity and the A Priori

1. Introduction

2. Constitutive Principles

1. From Kant to Reichenbach

2. Schlick and Reichenbach on Cognition as Coordination

3. Truth as Univocal Coordination

4. Coordination Principles of Different Kinds

5. Axioms of Coordination and Axioms of Connection

6. Erfahrung and Erlebnis

7. Coordination as Constitution

8. Forces as Vectors

3. Empirical Laws, Coordination, and Measurements

1. Coordination as Construction

2. The Interplay between Empirical Laws and Coordination Principles, 1. The Atwood Machine, 2. The Force Table Apparatus

4. Refutation of the Kantian Synthetic A Priori

2. Reichenbach’s Account of the Conventionality of Time

3. Reichenbach’s Generalization of Einstein’s Synchronization Procedure

4. Fluid-dynamical Analogy

5. Causal Paradoxes

1. The Hypothesis of the Arbitrariness of Coordination

6. Principles of Absolute Time, Local Action, and Progressively Attainable Ideal

7. Principle of Normal Induction

5. Conclusion

V. Relativity Theory and Spacetime Structure

1. Introduction

2. Principle of Relativity

Kobling til min analyse af Poincarés formuleringer af relativitetsprincippet!

3. Homogeneity of Spacetime

4. Isotropy of Space

5. Inertial Transformations as Group Action

6. Three Cases Depending on α

7. Causality

8. Lévy-Leblond’s Conclusion

9. Conclusion