Author(s)

Shiro Ishikawa¹, Kohshi Kikuchi²

¹Department of Mathematics, Faculty of Science and Technology, Keio University, Yokohama, Japan.
²Faculty of Liberal Arts, National Institute of Technology, Kumamoto College, Koshi, Kumamoto, Japan.

Recently we proposed the linguistic Copenhagen interpretation (or, quantum language, measurement theory), 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. Further, we showed that certain logic (called quantum fuzzy logic) works in quantum language. In general, it is said that logic and time do not go well together. Then, the purpose of this paper is to show that quantum fuzzy logic works well with time. That is, quantum fuzzy logic has the advantage of being able to clearly distinguish between implication and causality. In fact, we will show the contraposition of the proposition “If no one is scolded, no one will study” (or the negation of “John is always hungry”) can be written in quantum fuzzy logic. However, “time” in everyday language has various aspects (e.g., tense, subjective time). Therefore, it is not possible to understand all of the “time” of everyday language by the “time” of quantum language.

Quantum Language, Linguistic Copenhagen Interpretation, Quantum Fuzzy Logic, Time

Ishikawa, S. and Kikuchi, K. (2021) Quantum Fuzzy Logic and Time. Journal of Applied Mathematics and Physics, 9, 2609-2622. doi: 10.4236/jamp.2021.911168.