We show that the Agarwal-Simon representation of single-mode squeezed states can be generalized to find new form of three-mode squeezed states. We use the tripartite entangled state representations ｜p, y, z） and ｜x...We show that the Agarwal-Simon representation of single-mode squeezed states can be generalized to find new form of three-mode squeezed states. We use the tripartite entangled state representations ｜p, y, z） and ｜x, u, v） to realize this goal.展开更多
There are philosophers and logicians who do think that the Trinity-triangle makes up an evident formal-logic inconsistency demonstrating convincingly that Christian faith is illogical and hence irrational one. The pre...There are philosophers and logicians who do think that the Trinity-triangle makes up an evident formal-logic inconsistency demonstrating convincingly that Christian faith is illogical and hence irrational one. The present paper submits a systematic counter-argumentation against such thinking. According to the submitted counter-arguments, there is no formal-logic inconsistency in the Holy-Trinity-triangle： There is only a logic-linguistic illusion of such inconsistency which illusion is naturally produced by the ambiguity of the word ＂is＂ in natural language. The author has invented an effective remedy for that illusion, namely, a precise formulation of the generalized and thus modernized Guillotine of Hume by means of an artificial language of two-valued algebraic system of formal ethics of moral rigor. Systematical using the mathematized formulation of the generalized Hume＇s Guillotine cuts down the mentioned linguistic illusion of logical inconsistency. Thus, the paper essentially interconnects discrete mathematical representations of formal iogic of thinking and formal ethics of acting. In relation to contemporary symbolic logic, the author submits not a technical result solving some important particular problem concerning some specific system of symbolic logic but a significantly new result of conceptual work concerning logic in general and its interconnection with mathematical ethics. The old idea of logic as a moral science is transformed into a novel idea of symbolic logic as a brunch of mathematical ethics. In particular, two-valued algebra of classical formal logic is considered as a particular case of two-valued algebra of formal ethics of moral rigor. The submitted conception of logic is instantiated by applying it to the knotty logic-problem of Holy-Trinity-triangle.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No.10775097
文摘We show that the Agarwal-Simon representation of single-mode squeezed states can be generalized to find new form of three-mode squeezed states. We use the tripartite entangled state representations ｜p, y, z） and ｜x, u, v） to realize this goal.
文摘There are philosophers and logicians who do think that the Trinity-triangle makes up an evident formal-logic inconsistency demonstrating convincingly that Christian faith is illogical and hence irrational one. The present paper submits a systematic counter-argumentation against such thinking. According to the submitted counter-arguments, there is no formal-logic inconsistency in the Holy-Trinity-triangle： There is only a logic-linguistic illusion of such inconsistency which illusion is naturally produced by the ambiguity of the word ＂is＂ in natural language. The author has invented an effective remedy for that illusion, namely, a precise formulation of the generalized and thus modernized Guillotine of Hume by means of an artificial language of two-valued algebraic system of formal ethics of moral rigor. Systematical using the mathematized formulation of the generalized Hume＇s Guillotine cuts down the mentioned linguistic illusion of logical inconsistency. Thus, the paper essentially interconnects discrete mathematical representations of formal iogic of thinking and formal ethics of acting. In relation to contemporary symbolic logic, the author submits not a technical result solving some important particular problem concerning some specific system of symbolic logic but a significantly new result of conceptual work concerning logic in general and its interconnection with mathematical ethics. The old idea of logic as a moral science is transformed into a novel idea of symbolic logic as a brunch of mathematical ethics. In particular, two-valued algebra of classical formal logic is considered as a particular case of two-valued algebra of formal ethics of moral rigor. The submitted conception of logic is instantiated by applying it to the knotty logic-problem of Holy-Trinity-triangle.
