# “unsolved problems in mathematics” J. von Neumann’s address to the international congress of mathematicians, amsterdam, september 2-9, 1954

@article{Rdei1999unsolvedPI, title={“unsolved problems in mathematics” J. von Neumann’s address to the international congress of mathematicians, amsterdam, september 2-9, 1954}, author={Mikl{\'o}s R{\'e}dei}, journal={The Mathematical Intelligencer}, year={1999}, volume={21}, pages={7-12} }

## 25 Citations

### On the Connection Between Quantum Probability and Geometry

- Physics, PhilosophyQuanta
- 2021

An interpretation that generalizes the method developed by R. T. Cox to the quantum logical approach to physical theories is proposed and the relevance of developing a geometrical interpretation of quantum mechanics is stressed.

### A Complete Bibliography of Publications of John von Neumann

- Mathematics
- 2015

This bibliography records publications of John von Neumann (1903– 1957). Title word cross-reference 1 + 2 [vN51c]. $125 [Lup03]. $19.95 [Kev81]. 2, 000 [MRvN50]. $23.00 [MC00]. $25.00 [Jon04]. $29.95…

### Hilbert's 6th Problem and Axiomatic Quantum Field Theory

- PhilosophyPerspectives on Science
- 2014

��� 1. The Main Claims This paper has two parts, a historical and a systematic. In the historical part it is argued that the two major axiomatic approaches to relativistic quantum aeld theory, the…

### The Principle of the Common Cause

- Philosophy
- 2013

The common cause principle says that every correlation is either due to a direct causal effect linking the correlated entities or is brought about by a third factor, a so-called common cause. The…

### Some Historical and Philosophical Aspects of Quantum Probability Theory and its Interpretation

- Mathematics
- 2012

This paper argues that von Neumann’s work on the theory of ‘rings of operators’ has the same role and significance for quantum probability theory that Kolmogorov and his work represents for classical…

### Information dynamics and new geometric foundations of quantum theory

- Mathematics
- 2011

We discuss new approach to mathematical foundations of quantum theory, which is completely independent of Hilbert spaces and measure spaces. New kinematics is defined by non-linear geometry of spaces…

### The General Form of γ-Family of Quantum Relative Entropies

- MathematicsOpen Syst. Inf. Dyn.
- 2011

It is conjecture that the proposed family of relative entropies is uniquely characterised by the Markov monotonicity and the Legendre-Fenchel duality.

## References

SHOWING 1-10 OF 16 REFERENCES

### The logic of quantum mechanics

- Physics
- 1981

Editor's statement Foreword Preface Part I. Hilbert-Space Quantum Mechanics 1. Static description of quantum mechanics 2. States 3. Physical quantities 4. Spin and motion 5. Superselection rules 6.…

### Quantum Logic in Algebraic Approach

- Physics, Philosophy
- 1998

Preface. 1. Introduction. 2. Observables and States in the Hilbert Space Formalism of Quantum Mechanics. 3. Lattice Theoretic Notions. 4. Hilbert Lattice. 5. Physical Theory in Semantic Approach. 6.…