The ability of mathematical logic also refers to the ability of exponential logical thinking. Mathematical logical thinking ability is a strict rational thinking ability. Mathematical logical thinking ability refers to the ability to think correctly and reasonably, that is, to observe, analogize, induce, deduce, analyze, synthesize, abstract and systematize things, use correct reasoning methods and reasoning formats, express their rigorous rational activities accurately and orderly in the thinking process, and successfully complete certain activities. At the same time, it is the synthesis of various abilities necessary for people to engage in mathematical activities, and it is the core of mathematical ability.

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Conceptual decomposition of mathematical logical thinking

1. Mathematical thinking: It is an internal rational activity that the human brain interacts with mathematical objects (spatial form, quantitative relationship and structural relationship) and understands mathematical content according to the general thinking law. Mathematical thinking is mainly manifested in the operation of mathematical thinking, in the characteristics and operation methods of mathematics. Specifically, mathematical thinking has three characteristics: generality, problem and similarity. The generality and problems here (including "why, problem construction and solution") are not generality and problems in the usual sense, and only those who have enough knowledge of mathematics can understand them; Similarity refers to the similarity, consistency and non-contradiction of thinking results, which is different from other disciplines.

2. Mathematical logical thinking: correct and reasonable thinking, that is, observing, analogizing, inducing, deducing, analyzing, synthesizing, abstracting and systematizing things, and using correct reasoning methods and reasoning formats to accurately and orderly express their rigorous rational activities.

3. Mathematical thinking ability: ability is a necessary personality and psychological feature for successfully completing an activity, which directly affects the efficiency of the activity. Mathematical ability is the synthesis of various abilities necessary for people to engage in mathematical activities, and mathematical thinking ability is the core of mathematical ability.