Abstract
Recently we proposed the linguistic Copenhagen interpretation (or, quantum language), which has a great power to describe both classical and quantum systems. Thus we think that quantum language can be viewed as the language of science. Therefore, it makes sense to study, from the quantum linguistic point of view, Wittgenstein’s picture theory, since he must have wanted to create a language of science. In this paper, we show that the proposition that Wittgenstein studied in his book “Tractatus Logico-Philosophicus” can be regarded as a binary projective measurement in classical quantum language. And thus, we conclude that Wittgenstein’s language (i.e., the language that he supposed in his book) is realized by classical quantum language. Hence, now we can fully understand Wittgenstein’s picture theory since the reason his book is incomprehensible is that he did not define his language.
Highlights
Wittgenstein’s book “Tractatus Logico-Philosophicus” is surely one of the most important philosophical books of the 20th century
We show that the proposition that Wittgenstein studied in his book “Tractatus Logico-Philosophicus” can be regarded as a binary projective measurement in classical quantum language
I conclude that the proposition Wittgenstein studied in his TLP can be regarded as a binary projective measurement in classical quantum language
Summary
Wittgenstein’s book “Tractatus Logico-Philosophicus” (in short, “TLP”; ref. [1]) is surely one of the most important philosophical books of the 20th century. I don’t think the evaluation of his theory is yet settled from the scientific point of view. He said, in the (6.53)-th sentence of TLP, that (6.53): The correct method in philosophy is to say nothing but what can be said (i.e., propositions of the natural sciences). The purpose of this paper is to propose my understanding of Wittgenstein’s picture theory in the framework of QL. I conclude that the proposition Wittgenstein studied in his TLP can be regarded as a binary projective measurement in classical quantum language. We think that Wittgenstein’s language (i.e., the language that he supposed in TLP) is realized by classical QL
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