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This chapter focuses on how numbers are represented according to the grammar of Chinese. The rules governing the usage of basic, ordinal, and multiple numbers are introduced as well as their application in decimals, fractions, and approximations. Several special usages involving different forms of the same numeral are explained.
We show that the rationals will not support calculus. Using the intermediate value theorem, we discuss the properties required by a number system to allow us to do calculus. We state the fundamental axiom of analysis and obtain various equivalent forms of that axiom.
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