Abstract

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 and linguistic turn of quantum mechanics. This turn from physics to language does not only realize the remarkable extension of quantum mechanics but also yield the quantum mechanical world view (i.e., the philosophy of quantum mechanics). And thus, the turn urges us to dream that traditional philosophies (i.e., Parmenides, Plato, Aristotle, Descartes, John Locke, Berkeley, Hume, Kant, Saussure, Wittgenstein, etc.) can be understood in the quantum mechanical world view. This dream will be challenged in this paper. We, of course, know that most scientists are skeptical to philosophy. Still, we can expect that readers find a good linguistic philosophy (i.e. philosophy of language) in quantum mechanics.

Highlights

  • In [1,2,3,4,5,6], we proposed measurement theory, which is characterized as the linguistic approach to quantum mechanics

  • The purpose of this paper is to show that quantum mechanics has a good linguistic philosophy, that is, to understand traditional philosophies in the framework of measurement theory, or equivalently, to explain the meaning of Figure 1

  • Algebra A, we consider that the dualism of quantum mechanics is inherited to measurement theory (Figure 1: 2)

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Summary

Introduction

In [1,2,3,4,5,6] (in [1]), we proposed (classical and quantum) measurement theory, which is characterized as the linguistic (or, metaphysical) approach to quantum mechanics. We believe that measurement theory is one of the most applicable theories in science. The purpose of this paper is to show that quantum mechanics has a good linguistic philosophy, that is, to understand traditional philosophies in the framework of measurement theory, or equivalently, to explain the meaning of Figure 1.

Measurement Theory
A Bc H A C0
Realistic World View and Linguistic World View
Causality and Probability
Observer’s Time
Parmenides Philosophy
Zeno’s Paradoxes
3.10. Syllogism
3.11. Syllogism Does Not Hold in Quantum Systems
Conclusions
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