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Probability Theory by Raphael Tavares de Alencar, Marcelo Sampaio de Alencar

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         CHAPTER 2         

FUNDAMENTALS OF MEASURE THEORY

Counting was the first form of measurement.

2.1  A SHORT HISTORY OF MEASURE

Counting is one of the main activities of the human species, who have done it since ancient times. It started with finger counting, one of the reasons the base 10 system is universal, and proceeded to abstract measures. But it is not an exclusive feature of humans. Most animals have the ability to count, but only humans display the capacity for abstraction, the ability to represent measurement in symbolic form.

The Egyptians developed tools to measure areas, which was important to estimate quantity of crops produced, obtained thanks to the Nile floods. But the first civilization to systematically study geometrical ...

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