logical adj. 1.逻辑的,逻辑上的;逻辑学上的。 2.合乎逻辑的。 3.逻辑上必然的。 logical constants 逻辑常词[常项]。 logical necessity 逻辑的必然性。 a logical argument 条件分明的论证。 a logical process 合理的程序,合乎逻辑的[必然的]过程。 the logical result 必然的结果。 adv. -ly ,-ness n.
knowledge n. 1.知识;学识,学问。 2.了解,理解;消息。 3.认识。 4.〔古语〕学科。 5.〔古语〕性关系。 book knowledge书本知识。 K- is power. 〔谚语〕知识就是力量。 practical knowledge实际的知识。 secondhand knowledge第二手知识,传授来的知识。 working knowledge of French 法语知识学到能应用的地步。 I have no knowledge of London. 我对伦敦毫无所知。 It is within your knowledge that ... 这是你所知道的。 The knowledge of our victory caused great joy. 我们获得胜利的消息传来,万众欢腾。 perceptual knowledge感性认识。 logical [rational] knowledge理性认识。 the theory of knowledge【哲学】认识论。 branches of knowledge学科。 carnal knowledge性经验;【法律】性关系。 come to sb.'s knowledge被某人知道。 common [general] knowledge众所周知,常识。 grow out of (sb.'s) knowledge被忘掉了。 have some [a general, a thorough] knowledge of 懂得一点,懂得一个大概,精通。 not to my knowledge我知道并不是那样。 out of all knowledge(变得)认不出来,无法辨认。 to my knowledge据我知道。 to sb.'s certain knowledge据某人确知。 to the best of my knowledge据我所知,就我所知而论(=so far as I know)。 Too much knowledge makes the head bald. 〔谚语〕知识太多老得快。 without sb.'s knowledge 不通知某人,背着某人。
The real task of knowing is , through perception , to arrive at thought , to arrive step by step at the comprehension of the internal contradictions of objective things , of their laws and of the internal relations between one process and another , that is , to arrive at logical knowledge 认识的真正任务在于经过感觉而到达于思维,到达于逐步了解客观事物的内部矛盾,了解它的规律性,了解这一过程和那一过程间的内部联系,即到达于论理的认识。
In teaching theorems , we should form in students " brains stable clear distinguishable fixed points of mathematics concepts ; we should lead students to find mathematics theorems in question situations ; we should teach students the most basic logical knowledge and make students have an idea of relations between theorems 在定理教学中,应在学生头脑中形成稳定的,清晰的和可辨别的相应数学概念的固定点;要引导学生在问题情境中发现数学定理;要教给学生最基本的逻辑知识;让学生认识定理之间的关系。