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(Never) Mind your p's and q's:Von Neumann versus Jordan on the Foundations of Quantum Theory
Pascual Jordan John von Neumann transformation theory probability amplitudes canonical transformations Hilbert space spectral theorem
2016/5/30
In early 1927, Pascual Jordan (1927b) published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von N...
On Optimism and Opportunism in Applied Mathematics (Mark Wilson Meets John von Neumann on Mathematical Ontology)
Applied mathematics axiomatic method
2008/4/22
Applied mathematics often operates by way of shakily rationalized expedients that can neither be understood in a deductive-nomological nor in an anti-realist setting. Rather do these complexities, so ...
Weyl and von Neumann: Symmetry, Group Theory, and Quantum Mechanics
symmetry groups quantum mechanics structural realism
2008/4/18
In this paper, I shall discuss the heuristic role of symmetry in the mathematical formulation of quantum mechanics. I shall first set out the scene in terms of Bas van Fraassen’s elegant presentation ...
Bell, Bohm, and von Neumann: Some philosophical inequalities concerning No-go Theorems and the axiomatic method
Bell's theorem quantum mechanics hidden variables
2008/4/10
The paper investigates the philosophical relationship between John von Neumann's No-hidden-variable theorem and Bell's inequalities. Bell erroneously takes the axiomatic method as implying a finality ...
Von Neumann's Entropy Does Not Correspond to Thermodynamic Entropy
entropy Von Neumann entropy information entropy Second Law of thermodynamics
2008/4/1
Von Neumann (1932, Ch. 5) argued by means of a thought experiment involving measurements of spin observables that the quantum mechanical quantity is conceptually equivalent to thermodynamic entropy. W...
Von Neumann's Entropy Does Not Correspond to Thermodynamic Entropy
entropy Von Neumann entropy information entropy Second Law of thermodynamics though experiment measurement
2011/9/8
Abstract Von Neumann (1932, Ch. 5) argued by means of a thought experiment involving measurements of spin observables that the quantum mechanical quantity is conceptually equivalent to thermodynamic e...