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1)  the law of contradiction
矛盾律
1.
Evolution of the Ideas about the Law of Excluded Middle and the Law of Contradiction;
不同历史时期人们对矛盾律和排中律的理解
2.
Editors should correct the errors in the textbooks that evidently go against the law of contradiction,and they should also correct the similar types of errors hidden in journals.
编辑对教材中明显的违背矛盾律的错误应该纠正,编辑对期刊中隐含的违背矛盾律的错误也应该纠正。
3.
Both the law of contradiction and the law of excluded middle apply only to contradictory propositions.
该文同时提出了广义矛盾律的概念。
2)  law of contradiction
矛盾律
1.
This paper starting from "Register of Relevance",and together with logic in linguistics,makes an analysis of the mental process of the translator giving illogical renderings in their translation practices,and probes into the reason why they break the law of contradiction.
文章从"关联域"的角度结合语言逻辑学知识对翻译中出现逻辑矛盾的思维过程进行了分析,指出导致译者违反逻辑学中矛盾律的原因,并根据其特点将译文中包含的逻辑矛盾分成三类,即词汇信息型逻辑矛盾、语境型逻辑矛盾、百科信息型逻辑矛盾,并提出了在翻译中如何避免违反逻辑矛盾的建议。
2.
Finally the writer will probe the cause why Aristotle especially valued the law of contradiction.
 亚里士多德的逻辑思维规律思想是其逻辑思想的重要组成部分,笔者详细论述其逻辑思维规律思想的基本内容、各个规律的地位,最后探寻亚里士多德特别重视矛盾律的原因。
3)  law of non-contradiction
不矛盾律
1.
Secondly, reductio is equivalent to the law of non-contradiction with negative consequent of sufficient conditional additionally.
本文以现代命题逻辑为分析工具,证明了:在正命题逻辑系统的基础上,反证法的证明能力强于归谬法,它们之间相差一个双重否定律;归谬律与不矛盾律加上充分条件否定后件律相等价;反证律与不矛盾律、排中律、充分条件否定后件律加上选言推理否定肯定律相等价。
2.
Law of identity,law of non-contradiction and law of excluded middle are the basic laws.
同一律、不矛盾律和排中律是传统形式逻辑中的基本规律,在正统数理逻辑中体现为重言式。
4)  law of contradiction
不矛盾律
1.
A da costa paraconsistent logic system is regarded as basis to analyse the logic connection between proposition A and negation of paraconsistent logic A,difference between contradiction of paraconsistent,law of contradiction and contradiction of classical logic,law of contradiction.
以科斯塔弗协调逻辑系统的技术处理为依据来分析命题A与其弗协调否定A之间的逻辑关系可以知道弗协调矛盾和不矛盾律与经典逻辑矛盾和不矛盾律之间存在很大差别;由此可见科斯塔弗协调逻辑不是真正意义上的弗协调逻辑,但是科斯塔弗协调逻辑作为非经典逻辑其理论意义是重大的,这正如非欧几何之与欧氏几何。
2.
In criminal interrogation,logical contradiction in suspect s confession can be detected and caught if law of contradiction is applied properly.
侦查讯问中,正确地运用不矛盾律,可以及时发现、抓住犯罪嫌疑人供词中的逻辑矛盾;科学地设计讯问策略、合理化地设置“逻辑圈套”,可以使犯罪嫌疑人充分地暴露矛盾;结合有关证据运用不矛盾律,还可有力地揭露谎言、戳穿伪供。
5)  the law of non-contradiction
不矛盾律
1.
Based on clarifying the knowledge about them,the author describes the relation between the law of non-contradiction in logic and the principle of the unity of opposites in dialectics,and the complementary relation between formal logic and dialectics.
通过对“矛盾”渊源的考察,认为矛盾只可分为逻辑矛盾和辩证矛盾,并对多年来我国哲学界和逻辑学界对逻辑矛盾和辩证矛盾的认识进行分析,在澄清对逻辑矛盾和辩证矛盾认识的基础上,阐述了逻辑学中的“不矛盾律”和辩证法中的“对立统一规律”的关系以及形式逻辑和辩证法的相辅相成关系。
2.
"A mere contradiction" differs greatly from "a contradiction proved"; the latter challenges the law of non-contradiction, yet it has been resolved by us.
逻辑派是西方"解悖雄师"的主力,它基本上修补着塔的理论,自然遭"一网打尽";而作为"偏师"的辩证派,因要"理性重建"不矛盾律,反而成为"漏网之鱼"
3.
At present textbooks of logic in different editions all give indistinct field limitation for the law of non-contradiction and the law of excluded middle and meanwhile expression of basic contents of the two laws is not clear and simple.
目前 ,多种版本的逻辑学教材 ,均对不矛盾律和排中律适用范围的界定模糊不清 ,对这两条基本规律基本内容的表述 ,也不明确、不全面。
6)  law of contradiction
矛盾规律
1.
The law of contradiction shows that the two aspects of every contradiction coexist in a single entity.
矛盾规律告诉我们,任何事物都是矛盾的统一体,既对立又统一。
补充资料:矛盾律
矛盾律
contradiction,law of
    传统逻辑基本规律之一。又称不矛盾律。它通常被表述为A不是非A,或A不能既是B又不是B。在传统逻辑里 ,矛盾律首先是作为事物规律提出来的,意为任一事物不能同时既具有某属性又不具有某属性。它作为思维规律,则是任一命题不能既真又不真。矛盾律也被当作一种关于认识活动的规范性规律,意为任何人不应同时断定一个命题 (A)及其否定 (并非A)。这就是说,对一个命题及其否定不应持两可之说,以免自相矛盾。矛盾律还被看成是关于逻辑语义的规律,即在同一上下文中,同一语词或语句不应既表述某一思想又不表述某一思想。违背了矛盾律的要求,思维就会陷入逻辑矛盾(A并且非A) 。而任何包含逻辑矛盾的思想又总是错误的,所以思想的无矛盾性是正确思维不可缺少的条件,也是构造一个理论体系的重要原则之一。在现代逻辑中,!!!M0570_1(A∧!!!M0570_2A) ( 读作A并且非A是假的 ),是矛盾律在命题逻辑中的体现;!!!M0570_3x(F(x)∧!!!M0570_4F(x)) (读作并非存在着一个个体xx既有性质F又没有性质F),是矛盾律在谓词逻辑中的体现。
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