Interactions: Mathematics, Physics and Philosophy, 1860-1930 / Edition 1

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The main theme of this anthology is the unique interaction between mathematics, physics and philosophy during the beginning of the 20th century. Seminal theories of modern physics and new fundamental mathematical structures were discovered or formed in this period. Significant physicists such as Lorentz and Einstein as well as mathematicians such as Poincar , Minkowski, Hilbert and Weyl contributed to this development. They created the new physical theories and the mathematical disciplines that play such paramount roles in their mathematical formulations. These physicists and mathematicians were also key figures in the philosophical discussions of nature and science from philosophical tendencies like logical empiricism via critical rationalism to various neo-Kantian trends.

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Table of Contents

Preface DAVID E. ROWE / Einstein’s Allies and Enemies: Debating Relativity in Germany, 1916-1920. HELMUT PULTE / The Space between Helmholtz and Einstein: Moritz Schlick on Spatial Intuition and the Foundations of Geometry. DAVID HYDER / Kant, Helmholtz and the Determinacy of Physical Theory. ROBERT DISALLE / Mathematical Structure, 'World Structure,' and the Philosophical Turning-point in Modern Physics. ERHARDSCHOLZ/ The Changing Concept of Matter in H.Weyl’s Thought, 1918 – 1930. LAWRENCE SKLAR / Why Does the Standard Measure Work in Statistical Mechanics? JESPER LU¨ TZEN / A Mechanical Image: Heinrich Hertz’s Principles of Mechanics JEREMY GRAY / Enriques: Popularising Science and the Problems of Geometry. MICHEL JANSSEN AND MATTHEW MECKLENBURG / Electromagnetic Models of the Electron and the Transition from Classical to Relativistic Mechanics ULRICH MAJER / Hilbert’s Axiomatic Approach to the Foundations of Science—a Failed Research Program? Index

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