THE GENESIS AND GESTATION OF FUNCTORIALITY Professor
نویسنده
چکیده
1. Algebraic Numbers. Early Greeks quadratic irrationals, their existence, their nature: √ 2, √ 3, √ 5, . . . appear in Theatetus (one of Plato’s Socretic dialogues) before Plato simple surds, after Plato more elaborate theory. Found in the later books of Euclid’s elements, the 10 and 12. Combinations of simple surds, such as a √ 2 + b √ 3, a and b rational. Proof of linear independence, thus first signs of Galois theory. Also the appearance of such irrationalities as lengths in regular polygons and regular polyhedra.
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