1. The course contains four sections as follows: mathematical logic (including basic concepts of propositional logic and predicate logic, propositional calculuses and inference theories), set theory (including set algebras, relations, functions and cardinal numbers), algebraic structure (including algebraic systems, semigroups and groups, rings and fields, lattices and Boolean algebras), graph theory (including basic concepts of graph, Euler graphs and Hamiltonian graphs, trees, planar graphs and coloring graphs, some special vertex subsets and edge subsets).
    本课程包含四部分内容：数理逻辑（包含命题逻辑与一阶逻辑的基本概念、等值演算以及推理理论），集合论（包含集合代数、二元关系、函数和基数），代数结构（包含代数系统、半群与群、环与域、格与布尔代数），图论（包含图的基本概念、欧拉图与哈密顿图、树、平面图及图的着色、图的某些特殊的顶点子集与边子集）。

2. The first player from Group A says three cardinal numbers quickly.
    Group A的一名学生先说三个基数词，Group B的一名学生要迅速说出相对应的序数词，注意逢3、6、9的序数词要跳过。

3. cardinal numbers的翻译

3. T: Now listen to 2a and compare the cardinal numbers and the ordinal numbers.
    2教师出示写有100以内基数词和序数词的小黑板或数字挂图或幻灯片，并播放录音，要求学生边听边注意比较基数词和序数词的异同。

4.

4. For the finite set, the ordinal and cardinal numbers are equivalent, but they differ in the infinite case.
    有限集，有序和基数是等价，但他们在不同情况下的无限。

5. Discussion on the Cardinal Number and Indexes for Evaluating Each Enterprise under the Contract Management OPERATIONS ON FUZZY CARDINAL NUMBERS
    有关承包经营企业的评价指标及基数的研究

6. From the rational numbers to the real numbers and from the real numbers to the transfinite real numbers, the transfinite cardinal numbers, combined numbers. The conception of the numbers is extended every time. They all provide new methods and new theories.
    从有理数到实数，从实数到超实数，超限数以及联系数，数的概念的每一次扩充，都为数学提供了新的方法和新的理论，从而也开辟了新的研究领域。

7.

7. One, two, three, etc. are the cardinal numbers.
    二、三等是基数。

8. cardinal numbers

8. Numerical idioms are idioms formed with cardinal numbers, ordinal numbers and other words which have the meaning of number.
    数字习语，是指由基数词，序数词及其它具有数字意义的词构成的习语。