what is mathematics?
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The Detail of This Chapter.pdf
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the first event: 1, 2, 3,...
then, we know that counting means +1
the first principle: no more, nor less.
addition, subtraction, multiplication, division
subtraction lead to 0 and negatives
division lead to fraction
the closeness of operation=>the set of number: natural number, integral number, rational number.
infinity.
【complete induction】
how to denote number? base and power
how to solve algebraic equation?
the complete of order=>real number set
the second principle: completeness
any two elements of set R, a>b, or b>a,
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