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teoria de 17, 18, 21, 52, 77, 95, Hilbert, David 44, 106, 119, 120,
99,107,111,120,122,124, 122, 149-152
130,133,134,136,141, 148- hotel de 44
150, 152-154, 156, 157, 160, hipótesis del continuo 69-72, 113,
162, 165-169 114,120,127, 138-140, 165,167
transfinito 115, 126, 147-150
universal 141, 148, 159, 160, 164 infinito
vacío 107, 124 en acto 9-11, 20-26, 28, 29, 37,
continuo, problema del 87, 96, 98, 41, 58, 71, 75,107,148
105, 107 en potencia 9, 10, 23, 26, 35, 39,
correspondencia uno-a-uno 38, 40- 75,110,111
42, 46, 48, 50, 52,56,62, 64,66,
68, 72,89, 114,131,134 Kronecker, Leopold 13, 20, 74-77,
Crelle, Journal de 37, 71, 72, 74, 89,98, 125
76, 77
cuadratura del círculo 53, 54, 56 Lebesgue, Henri 120, 121
cubrimiento 137, 139, 140 Leibniz, Gottfried Wilhelm von 12,
17, 74,82-85, 102,103
Dedekind, Richard 13, 17, 18, 26, Liouville,Joseph 54,56, 73, 75,89
37, 41, 43, 48, 61-63, 69, 72, 80,
81,86,88,93,94,96,98,99, 111, Mittag-Leffler, Gosta 75, 98-100
122-124, 128,149, 154-156, 169
cortaduras de 96, 123 Newton, Isaac 17, 81-85
número
Euclides 155, 156 algebraico 13, 37, 38, 53-57,
70, 77
formalismo 165-167 cuadrado 31,32,38,40,41
Fourier, series de ( véase también entero 41, 42, 44-46, 48-50, 53-
series trigonométrica) 100, 55, 57, 70, 74, 75,94, 95,123,
104-106, 109 129,135,136,154
Fraenkel, Abraham 162 irracional 35, 49, 54, 70, 85, 89,
Frege, Gottlob 155-160, 168, 169 106,122,131
racional 41, 42, 44-50, 53-55, 57,
Galilei, Galileo 10, 28, 29, 33, 38, 70, 75,88,89,94, 106,107,
39,57 122,123,131,154,157
paradoja de (véase paradoja de real 13, 37, 38, 49, 50-53, 56, 57,
Galileo) 62, 64-66, 69, 70, 72, 73, 77,
Godel, Kurt 162, 165, 167 86-90, 96, 105-109, 113-115,
Guttman, Vally 13, 37 120,122,123,127,128,131,
135,136,147,154,155
Reine, Heinrich Eduard 36, 97, 100, trascendente 54-57, 70, 72, 73,
104, 106, 108, 109 75
174 ÍNDICE