逻辑基本规律的新表述及其应用

A New Statement of Basic Logic Laws and Their Application

伟大的逻辑学家亚里士多德提出了逻辑的三个基本规律:同一律、矛盾律和排中律,然而逻辑基本规律的现有表述并不科学。史天治提出了广义矛盾律,同时对逻辑基本规律进行了新的表述。新表述由三个部分组成:一是公式,二是客观规律,三是思维法则。同一律适用于词和命题,矛盾律和排中律仅适用于矛盾命题,广义矛盾律适用于互斥性命题。表达逻辑基本规律应以客观的语言形式(词和命题)为基础,而不是以主观的思想事物(概念、判断、推理)为基础。论文利用逻辑基本规律解决了说谎者悖论和罗素悖论。

The great logician Aristotle put forward the three basic logic laws： the law of identity, the law of contradiction and the law of excluded middle, but their current statement is not scientific. Shi Tianzhi puts forward the generalized law of contradiction and makes a new statement of the basic logic laws, which is divided into three parts - the first is formula, the second is objective law, the third is rule for thinking. The law of identity applies to words and propositions. Both the law of contradiction and the law of excluded middle apply only to contradictory propositions. The generalized law of contradiction applies to exclusive propositions. The basic logic laws should be based on objective language form （words and propositions）, not on the basis of subjective thinking of objects such as concepts, judgments and reasoning. Using the basic logic laws, the article solves the bar paradox and the Russell paradox.