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The basic idea of mathematics
First, abstract:

1, classified thinking 2, collective thinking 3, corresponding thinking 4, changing constant thinking 5, symbolic thinking 6, finite infinite thinking ...

Second, the reasoning:

1, inductive thinking 2, analogical thinking 3, combination of numbers and shapes 4, gradual approximation thinking 5, deductive thinking 6, reduction thinking 7, operational thinking 8, axiomatic thinking ...

Third, the model:

1, simplification thought 2, quantification thought 3, function thought 4, equation thought 5, optimization thought 6, statistics thought. ...