• Corpus ID: 118554480

The Linguistic Interpretation of Quantum Mechanics

@article{Ishikawa2012TheLI,
  title={The Linguistic Interpretation of Quantum Mechanics},
  author={Shiro Ishikawa},
  journal={arXiv: History and Philosophy of Physics},
  year={2012}
}
  • S. Ishikawa
  • Published 17 April 2012
  • Philosophy
  • arXiv: History and Philosophy of Physics
About twenty years ago, we proposed the mathematical formulation of Heisenberg's uncertainty principle, and further, we concluded that Heisenberg's uncertainty principle and EPR-paradox are not contradictory. This is true, however we now think that we should have argued about it under a certain firm interpretation of quantum mechanics. Recently we proposed the linguistic quantum interpretation (called quantum and classical measurement theory), which was characterized as a kind of metaphysical… 

Figures and Tables from this paper

Heisenberg uncertainty principle and quantum Zeno effects in the linguistic interpretation of quantum mechanics
Recently we proposed measurement theory (i.e., quantum language, or the linguistic interpretation of quantum mechanics), which is characterized as the linguistic turn of the Copenhagen interpretation
The double-slit quantum eraser experiments and Hardy's paradox in the quantum linguistic interpretation
Recently we proposed the linguistic interpretation of quantum mechanics (called quantum and classical measurement theory), which was characterized as a kind of metaphysical and linguistic turn of the
Zeno's Paradoxes in the Mechanical World View
There is a very reason to consider that to solve Zeno's paradoxes is to propose the theory of mechanical world view. We believe that this is not only our opinion but also most philosophers' opinion.
Philosophy of Science for Scientists: The Probabilistic Interpretation of Science
  • S. Ishikawa
  • Philosophy
    Journal of Quantum Information Science
  • 2019
Recently we proposed “quantum language” (or, “the linguistic Copenhagen interpretation of quantum mechanics”, “measurement theory”) as the language of science. This theory asserts the probabilistic
What is Statistics?; The Answer by Quantum Language
TLDR
It is believed that the quantum lingistic formulation of statistics gives an answer to the question: "What is statistics?", which will be done through the studies of inference interval, statistical hypothesis testing, Fisher maximum likelihood method, Bayes method and regression analysis in meaurement theory.
Leibniz-Clarke Correspondence, Brain in a Vat, Five-Minute Hypothesis, McTaggart’s Paradox, etc. Are Clarified in Quantum Language [Revised version]
Recently we proposed “quantum language” (or, “the linguistic Copenhagen interpretation of quantum mechanics”), which was not only characterized as the metaphysical and linguistic turn of quantum
Brain in a vat , Five-minute hypothesis , McTaggart ’ s paradox , etc . are clarified in quantum language by Shiro
Recently we proposed“ quantum language” (or, “the linguistic Copenhagen interpretation of quantum mechanics”), which was not only characterized as the metaphysical and linguistic turn of quantum
Monty Hall Problem and the Principle of Equal Probability in Measurement Theory
In this paper, we study the principle of equal probability (i.e., unless we have sufficient reason to regard one possible case as more probable than another, we treat them as equally probable) in
Hempel’s raven paradox, Hume’s problem of induction, Goodman’s grue paradox, Peirce’s abduction, Flagpole problem are clarified in quantum language
Recently we proposed “quantum language” (or, “the linguistic Copenhagen interpretation of quantum mechanics”, “measurement theory”) as the language of science. This theory asserts the probabilistic
The two envelopes paradox in non-Bayesian and Bayesian statistics
The purpose of this paper is to clarify the (non-Bayesian and Bayesian) two-envelope problems in terms of quantum language (or, measurement theory), which was recently proposed as a linguistic turn
...
...

References

SHOWING 1-10 OF 25 REFERENCES
Quantum Mechanics and the Philosophy of Language:Reconsideration of Traditional Philosophies
Recently we proposed “a new interpretation of quantum mechanics (called quantum and classical measurement theory)” in this journal (JQIS: Vol. 1, No. 2), which was characterized as the metaphysical
A New Interpretation of Quantum Mechanics
TLDR
This work proposes a new interpretation of measurement theory, which is the linguistic aspect (or, the mathematical generalization) of quantum mechanics, and shows that Bell’s inequality is broken even in classical systems.
On the Einstein-Podolsky-Rosen paradox
THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional
A quantum mechanical approach to a fuzzy theory
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth
A Measurement Theoretical Foundation of Statistics
It is a matter of course that Kolmogorov’s probability theory is a very useful mathematical tool for the analysis of statistics. However, this fact never means that statistics is based on
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
TLDR
Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.
Fuzzy inferences by algebraic method
Numerical analysis of trajectories of a quantum particle in two-slit experiment
It is well known that the concept of a trajectory of a quantum particle is itself nonsense in the so-called “Copenhagen” interpretation. However, if the interpretation proposed by Ishikawa
...
...