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The Sand Reckoner Of Archimedes

The Sand Reckoner Of Archimedes

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The Sand Reckoner of Archimedes
by Thomas Heath

"This short treatise of Archimedes on the amount of sand grains which could be contained in the ancient model of the universe is remarkable. It uses some extremely large numbers, given that this was antiquity and Europeans did not yet have the benefit of decimal notation. It also anticipates the method of Calculus: measuring by subdivision into very small quanta, in this case grains of sand. Also of interest are Archimedes' (incorrect but informed) estimates of the relative size of the sun, moon and earth. The argument can be followed by anyone who has mastered basic algebra."

About the Author

"Plato (wide, broad-browed) (428/427 BC - 348/347 BC), was a Classical Greek philosopher. Together with his teacher, Socrates, and his student, Aristotle, Plato helped to lay the philosophical foundations of Western culture. Plato was also a mathematician, writer of philosophical dialogues, and founder of the Academy in Athens, the first institution of higher learning in the western world. Plato was originally a student of Socrates, and was much influenced by his thinking as by what he saw as his teacher's unjust death.

Plato's brilliance as a writer and thinker can be witnessed by reading his Socratic dialogues. Some of the dialogues, letters, and other works that are ascribed to him are considered spurious. Interestingly, although there is little question that Plato lectured at the Academy that he founded, the pedagogical function of his dialogues, if any, is not known with certainty. The dialogues have since Plato's time been used to teach a range of subjects, mostly including philosophy, logic, rhetoric, mathematics, and other subjects about which he wrote."

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