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'Proclus,': [1035], 'Playfair,': [1036], 'Wallis': [1038], 'Saccheri': [1039], 'Quadrilaterals': [1040], 'Accomplishments': [1042], 'Legendre': [1044], "Legendre's": [1045], 'geometrie': [1048], '11.2': [1049], 'Founders': [1051], 'Non-Euclidean': [1053, 1068], 'Attempt': [1056], 'at': [1057], 'New': [1059, 1074], 'Struggle': [1062], 'Bolyai': [1065], 'Models': [1071], 'Riemann,': [1076], 'Beltrami,': [1077], 'Klein': [1079], 'Grace': [1080], 'Chisholm': [1081], '11.3': [1083], 'Rigor': [1087], "D'Alembert": [1088], 'Cauchy': [1090], 'Limits': [1092], "Fourier's": [1093], 'Series': [1094], 'Father': [1096], 'Analysis,': [1099], 'Weierstrass': [1100], 'Sonya': [1101], 'Kovalevsky': [1102], 'Axiomatic': [1104], 'Movement:': [1105], 'Pasch': [1106], '11.4': [1109], 'Generalized': [1111], 'Babbage': [1112], 'Analytical': [1115], 'Engine': [1116], "Peacock's": [1117], 'Representations': [1122], 'Complex': [1124], "Hamilton's": [1126], 'Discovery': [1127], 'Quaternions': [1129], 'Matrix': [1130], 'Algebra:': [1131], 'Cayley': [1132], 'Sylvester': [1134], "Boole's": [1135], 'Logic': [1138], '12': [1139], 'Transition': [1140], 'Twenthieth': [1143], 'Century:': [1144], 'Cantor': [1145], 'Kronecker': [1147], '12.1': [1148], 'Emergence': [1150], 'American': [1152, 1159], 'Ascendency': [1154], 'German': [1157], 'Takes': [1161], 'Root:': [1162], '1800-1900': [1163], 'Twentieth': [1165], 'Consolidation': [1167], '12.2': [1168], 'Infinite': [1171, 1179], 'Universalist:': [1174], 'Poincare': [1175], "Cantor's": [1176], 'Sets': [1180, 1189], "Kronecker's": [1181], 'View': [1182], 'Set': [1184, 1199], 'Countable': [1186], 'Uncountable': [1188], 'Transcendental': [1190], 'Continuum': [1193], 'Hypothesis': [1194], '12.3': [1195], 'Paradoxes': [1197, 1203], 'Zermelo': [1204], 'Axiom': [1207], 'Choice': [1209], 'Logistic': [1211], 'Frege,': [1213], 'Peano': [1214], 'Russell': [1216], "Hilbert's": [1217], 'Formalistic': [1218], 'Approach': [1219], "Brouwer's": [1220], 'Intuitionism': [1221], '13': [1222], 'Extensions': [1223], 'Generalizations:': [1225], 'Hardy,': [1226], 'Hausdorff,': [1227], 'Noether': [1229], '13.1': [1230], 'Hardy': [1231, 1245], 'Ramanujan': [1233, 1250], 'Tripos': [1235], 'Examination': [1236], 'Rejuvenation': [1238], 'English': [1240], 'Unique': [1243], 'Collaboration:': [1244], 'Littlewood': [1247], "India's": [1248], 'Prodigy,': [1249], '13.2': [1251], 'Point-Set': [1255], 'Topology': [1256], "Frechet's": [1257], 'Metric': [1258], 'Spaces': [1259, 1262, 1269], 'Neighborhood': [1261], 'Hausdorff': [1264], 'Banach': [1265], 'Normed': [1267], 'Linear': [1268], '13.3': [1270], 'Twentieth-Century': [1272], 'Developments': [1273], 'Emmy': [1274], "Noether's": [1275], 'Rings': [1278], 'Von': [1279], 'Neumann': [1280], 'Computer': [1283], 'Women': [1284], 'Few': [1289], 'Recent': [1290], 'Advances': [1291], 'General': [1292], 'Bibliography': [1293], 'Additional': [1294], 'Reading': [1295], 'Alphabet': [1298], 'Selected': [1301], 'Index': [1303]}, 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