# Hilbert’s “World Equations” and His Vision of a Unified Science

@article{Majer2005HilbertsE, title={Hilbert’s “World Equations” and His Vision of a Unified Science}, author={Ulrich Majer and Tilman Sauer}, journal={arXiv: History and Philosophy of Physics}, year={2005}, volume={11}, pages={259-276} }

In summer 1923, a year after his lectures on the `New Foundation of Mathematics' and half a year before the republication of his two notes on the `Foundations of Physics,' Hilbert delivered a trilogy of lectures in Hamburg. In these lectures, Hilbert expounds in an unusually explicit manner his epistemological perspective on science as a subdiscipline of an all embracing science of mathematics. The starting point of Hilbert's considerations is the claim that the class of gravitational and…

## 29 Citations

Hilbert's Foundation of Physics: From a Theory of Everything to a Constituent of General Relativity

- Physics
- 2007

Remarkably, Einstein was not the first to discover the correct form of the law of warpage [of space-time, i.e. the gravitational field equations], the form that obeys his relativity principle.…

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- 2008

Einstein Equations and Hilbert Action: What is missing on page 8 of the proofs for Hilbert's First Communication on the Foundations of Physics?

- Mathematics
- 2005

The history of the publication of the gravitational field equations of general relativity in November 1915 by Einstein and Hilbert is briefly reviewed. An analysis of the internal structure and logic…

On the History of Unified Field Theories

- PhysicsLiving reviews in relativity
- 2004

The main theme is the unification of the electromagnetic and gravitational fields augmented by short-lived attempts to include the matter field described by Schrödinger’s or Dirac's equations.

The Cambridge Companion to Einstein

- Physics
- 2014

Introduction Michel Janssen and Christoph Lehner 1. Einstein's Copernican revolution Jurgen Renn and Robert Rynasiewicz 2. Einstein's special theory of relativity and the problems in the…

Local axioms in disguise: Hilbert on Minkowski diagrams

- MathematicsSynthese
- 2011

Hilbert’s assessment of Minkowski’'s diagrammatic methods in number theory both raises and illuminates conceptual compatibility concerns that were crucial to his philosophy of mathematics.

Bernhard Riemann, a(rche)typical mathematical-physicist?

- EducationFront. Physics
- 2013

The work of Bernhard Riemann is discussed under the perspective of present day mathematics and physics, and with a prospective view towards the future, too. Against the (unfortunately rather…

Where We Stand Today

- Geology
- 2018

In his work of 1918, Hermann Weyl extended the general theory of relativity, which Albert Einstein had set forth in the years 1915–1916, to unify the two field phenomena known at this time, namely…

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