Part I. Number and magnitude. On the nature of mathematical reasoning

Part II. Space. The non-Euclidean geometrics ; Space and geometry ; Experience and geometry

Part II. Force. The classic mechanics ; Relative motion and absolute motion ; Energy and thermodynamics

Part IV. Nature. Hypothesis in physics ; The theories of modern physics ; The calculus of probabilities ; Optics and electricity ; Electrodynamics

The value of science. Translator's introduction

Does the scientist create science?

The mind dispelling optical illusions

Euclid not necessary

Without hypothesis, no science

What outcome?

Introduction

Part I. The mathematical sciences. Intuition and logic in mathematics ; The measure of time ; The notion of space ; Space and its three dimensions

Part II. The physical sciences. Analysis and physics ; Astronomy ; The history of mathematical physics ; The present crisis of mathematical physics ; The future of mathematical physics

Part III. The objective value of science. Is science artificial? ; Science and reality

Science and method. Introduction

Book I. Science and the scientist. The choice of facts ; The future of mathematics ; Mathematical creation ; Chance

Book II. Mathematical reasoning. The relativity of space ; Mathematical definitions and teaching ; Mathematics and logic ; The new logics ; The latest efforts of the logisticians

Book III. The new mechanics. Mechanics and radium ; Mechanics and optics ; The new mechanics and astronomy

Book IV. Astronomic science. The Milky way and the theory of gases ; French geodesy

General conclusions

Index

Notes:

Includes index

Reproduction Notes:

Electronic reproduction, [Place of publication not identified], HathiTrust Digital Library, 2023