History of Western Philosophy and Quantum Language (Including Quantum Mechanics, Statistics, Fuzzy Logic, etc.)

Although there are many different types of philosophy, many philosophers agree that the mainstream of Western philosophy (Socrates, Plato, Aristotle, Descartes, Kant, Wittgenstein) developed toward the perfection of Socrates’ absolutism. But can the absolutism maintain its central position after analytic philosophy? There are pessimistic views on this problem, such as that of R. Rorty, the standard-bearer of neo-pragmatism. Recently, I proposed quantum language (which is including quantum mechanics, statistics, fuzzy sets, etc.). I think that that this theory is not only one of the most fundamental scientific theories, but also the scientific final destination of Western philosophy. If so, Socrates’ dream has come true. The purpose of this paper is to discuss the above and to inform readers that quantum language has the power to create a paradigm shift from the classical mechanical world view to the quantum mechanical worldview.

Closure of q-Quantum Languages

η-quantum languages are discussed and some of their properties are derived. Furthermore the q-quantum language is defined. It is shown that L(A1A2)=L(A1)∩L(A2), L(A)=L(A1)∪L(A2). So over the same alphabet the intersection and union of two different q-quantum languages are also q-quantum languages.

Fuzzy Logic in the Quantum Mechanical Worldview;Related to Zadeh, Wittgenstein, Moore, Saussure, Quine, Lewis Carroll, etc.

Recently we proposed the linguistic Copenhagen interpretation of quantum mechanics, which is called quantum language or measurement theory. This theory is valid for both quantum and classical systems. Thus we think that quantum language is one of the most powerful scientific theories, like statistics. In this paper we justify Zadeh’s fuzzy sets theory in quantum language, that is, fuzzy propositions are identified with binary measurements. This implies that the definition of “proposition” is, for the first time, acquired in the field of non-mathematics. Further, we assert that fuzzy logic is more natural than crisp logic in science. And furthermore, we discuss and solve Saussure’s linguistics, Moore’s paradox, Quine’s analytic-synthetic distinction and Lewis Carroll’s logical paradox. Therefore, from the philosophical point of view, our result gives a complete answer to Wittgenstein’s problem: “Why does logic work in our world?” and “What is a scientific proposition?” in his picture theory. That is, we simultaneously justify both Zadeh’s fuzzy sets and Wittgenstein’s picture theory in the quantum mechanical worldview.

Wittgenstein’s Picture Theory in the Quantum Mechanical Worldview

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.

Quantum Fuzzy Logic and Time

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 programming languages: A tentative study

Starting with some simple representative quantum programming languages, this paper lays stress on quantum computation, language paradigm, program structure, input/output, exception facility, and especially the recent results of the quantum computation group at Nanjing University, namely the functional quantum programming language NDQFP. All primitive functions and combining forms in NDQFP are given in the appendix.

LANGUAGE AND THE QUANTUM CONNECTION

作者认为,本世纪初提出的“量子论”学说从根本上改变了人对世界的认识。在此以前,人们认为世界是受宿定的力量所支配的,是受固定的法则所制约的。在此之后,人们对这些法则的信心动摇了,认为世界是一个任意的实体,只有数学的概率可以表示它的行为。 把这一理论应用到语言和语义的关系上,作者认为首要之事不在寻找新的素材,而在于对现有的语言和现在的世界之间的关系进行研究。世界是同一个,但不同民族的人都根据自己的心理框架去认知世界,因而所得的词集(set)也不同。把这些“点”弄清楚了,由点构成的面也会比较清楚。

Quantum software framework： a tentative study

In this paper we conduct a tentative study on the requirements and the structure for a quantum computer at the software level. From the software point of view, we describe the methodology used to minimize the decoherence. We con- struct the quantum instruction set for the higher-level computation. We also study the criteria for designing the quantum programming languages.

Holographic software for quantum networks

We introduce a pictorial approach to quantum information, called holographic software. Our software captures both algebraic and topological aspects of quantum networks. It yields a bi-directional dictionary to translate between a topological approach and an algebraic approach. Using our software, we give a topological simulation for quantum networks. The string Fourier transform(SFT) is our basic tool to transform product states into states with maximal entanglement entropy. We obtain a pictorial interpretation of Fourier transformation, of measurements, and of local transformations, including the n-qudit Pauli matrices and their representation by Jordan-Wigner transformations. We use our software to discover interesting new protocols for multipartite communication. In summary, we build a bridge linking the theory of planar para algebras with quantum information.