Hermann Weyl: Physical

“It was my wish to present this great subject as an illustration of the itermingling of philosophical, mathematical, and physical thought”

Hermann Weyl

From the Author's Preface to First Edition (1918)
Space—Time—Matter (1952)
Context: It was my wish to present this great subject as an illustration of the itermingling of philosophical, mathematical, and physical thought, a study which is dear to my heart. This could be done only by building up the theory systematically from the foundations, and by restricting attention throughout to the principles. But I have not been able to satisfy these self-imposed requirements: the mathematician predominates at the expense of the philosopher.

Mathematics

“[Physicists and philosophers] stick stubbornly to the principles of a mechanistic interpretation of the world after physics has, in its factual structure, already outgrown the latter. They have the same excuse as the inhabitant of the mainland who for the first time travels on the open sea: he will desperately try to stay in sight of the vanishing coast line, as long as there is no other coast in sight, towards which he steers.”

Hermann Weyl

"Wissenschaft als symbolische Konstruktion des Menschen" Eranos-Jahrbuch (1948) GA IV, as quoted/translated by Erhard Scholz, "Philosophy as a Cultural Resource and Medium of Reflection for Hermann Weyl" http://arxiv.org/abs/math/0409596 (2004)

World , Travel , Time , Sea

“Recognition of the subjectivity of the qualities of sense is found in Galilei (and also in Descartes and Hobbes) in a form closely related to the principle underlying the constructive mathematical method of our modern physics which repudiates" qualities."”

Hermann Weyl

Introduction
Space—Time—Matter (1952)

Mathematics , Sense

“In the realm of physics it is perhaps only the theory of relativity which has made it quite clear that the two essences, space and time, entering into our intuition, have no place in the world constructed by mathematical physics. Colours are thus "really" not even æther-vibrations, but merely a series of values of mathematical functions in which occur four independent parameters corresponding to the three dimensions of space, and the one of time.”

Hermann Weyl

Introduction
Space—Time—Matter (1952)

World , Mathematics , Time

“Above all, the ominous clouds of those phenomena that we are with varying success seeking to explain by means of the quantum of action, are throwing their shadows over the sphere of physical knowledge, threatening no one knows what new revolution.”

Hermann Weyl

Source: Space—Time—Matter (1952), Ch. 3 "Relativity of Space and Time"