AMS Chelsea Publishing
Foundations of Analysis
AMS Chelsea Publishing
Foundations of Analysis
Why does $2 \times 2 = 4$? What are fractions? Imaginary numbers? Why do the laws of algebra hold? What are the properties of the numbers on which the Differential and Integral Calculus is based? In other words, What are numbers?
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Why does $2 \times 2 = 4$? What are fractions? Imaginary numbers? Why do the laws of algebra hold? What are the properties of the numbers on which the Differential and Integral Calculus is based? In other words, What are numbers? And why do they have the properties we attribute to them? This work answers such questions.