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Aczel A.D. — Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe
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Íàçâàíèå: Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the UniverseÀâòîð: Aczel A.D. Àííîòàöèÿ: René Descartes (1596—1650) is one of the towering and central figures in Western philosophy and mathematics. His apothegm “Cogito, ergo sum” marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates has made our intellectual conquest of physical space possible.
ßçûê: Ðóáðèêà: Ðàçíîå /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2005Êîëè÷åñòâî ñòðàíèö: 273Äîáàâëåíà â êàòàëîã: 11.06.2008Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Jonquieres, Ernest de 220 Judaism 47 48 50 75—76 91 Jupiter 16 75 121 Jupiter, Faulhaber's symbol for 75 Kabbalah 47 48 50 75—76 108 110 111 Kanones pueriles 111 Kepler, Johann 61—63 74 80 89 104 105—106 110—111 112 217 222—225 235 238 241 247n Kepler, Johann, model of the universe 224 Kuehn, Johann 208 La Fleche college 26 27—34 35 57 64 129 154 178 La Haye 17—22 29 123 169 200 La Menaudiere 122—123 La Rochelle siege 125—130 251n Landes, Richard 7 Latin Language 41 42 43 46 60 79 84 S6 135 151 158 168 169 179 202 207—208 213 215 Legrand, Jean-Baptiste 203—204 230 243n Leibniz, Gottfried Wilhelm 206—235 Leibniz, Gottfried Wilhelm, alchemy as interest of 210 Leibniz, Gottfried Wilhelm, background of 206—212 Leibniz, Gottfried Wilhelm, calculus discovered by 2 10 67 232—235 Leibniz, Gottfried Wilhelm, death of 219 235 Leibniz, Gottfried Wilhelm, Descartes' influence on 208—213 230—235 Leibniz, Gottfried Wilhelm, Descartes' manuscript copied by 2 10—16 15 56 60 75 106 109 148 203 212—221 214 219 226 229 230—233 243n—244n 256n Leibniz, Gottfried Wilhelm, equal sign used by 121 Leibniz, Gottfried Wilhelm, patron of 12 173 211 212 231 235 Leibniz, Gottfried Wilhelm, Rosicrucian influence on 13 212—213 Leibniz, Gottfried Wilhelm, writings of 210 219 Length 70—71 Libavius, Andreas 102 Lines, angles formed by 44—45 45 Lines, drawing of 31 69 69 Lines, parallel 70 Lines, perpendicular 70 163 Lines, straight 31 45 Lipstorp, Daniel 72 203 Logic 6 155 Loreto, shrine of 60 115 Louis XIII, King of France 125—130 137 Louis XIV, King of France 210 211 229 Lull, Ramon 47—48 209—210 Luther, Martin 49 Lutherans 49 88 198 Macedo, Antonio 205 magic 50—51 84—87 91 102 159—160 Maire, Jean 151 Malehranche, Nicolas 231—232 Mallet, C 220 Manders, Kenneth L. 106 Maria Eleanora of Brandenburg 183 Maritain, Jacques 107—108 Mathematics advances in 5 31 69—71 100 160 Mathematics advances in, Descartes' contributions to 24 30—32 37 39 40 41—43 46—47 53 64 96 113 127 131 133 139 140 155—156 160 168—169 170 218—219 Mathematics advances in, Greek approach to 62 218 220—221 232 Mathematics advances in, logical basis of 6 155—156 Mathematics advances in, music and 6 37 47 81 132 135 Mathematics advances in, mysticism and 47—48 62—63 71 74—77 85 109—112 215 217 218—219 Mathematics advances in, proof in 139 154—157 164—166 Mathematics advances in, pure 46—47 64 136 140 160 Mathematics advances in, puzzles in 41—46 Mathematics advances in, teaching of 30—32 Mathematics advances in, unification of 45—46 58—59 71 79 Maurice of Nassau, prince of Orange 39 41—42 46 48—49 51 54 129 168 Maximilian, duke of Bavaria 51 53—54 77—79 97 108 Medicine 24 25—26 89 91 148 193—197 198 Meditations (Descartes) 5 175 182 Mehl, Edouard 73 100 105 109—110 Mersenne, Marin 8 28 36 98—100 113 133 134—137 139—144 181 195 Metaphysics 6 136—137 139 151 168 170—171 231 Meteores (Descartes) 150 153—154 Microwave radiation 238—239 Minim Brothers 36 98—100 133 Miracula ariihmetica (Faulhaber) 72—73 109—110 Moebius strip 256n Moegling, Daniel 109—110 Momentum 138 139 Monde, Le (Descartes) 136—144 145 152 153—154 157 Monsieur Grat (Descartes' dog) 148 Morin, Jean-Baptiste 175 Moses 91 Motion 61 62 104 112 136 139 MUSIC 6 37 47 81 132 135 Mydorge, Claude 36 Mysterium cosmographicum (Kepler) 62 223 224 247n Mysticism 39 47—48 62—63 71 74—77 82—91 102 109—112 159—160 166 215 217 218—219 Newton, Isaac 10 67 232—235 Niceron, Jean-Francois 99 Numbers, biblical 76 107 109 110 111 215 219 Numbers, combinations of 207 209—212 214 Numbers, cube roots of 165 166 Numbers, factoring of 207 Numbers, fields of 164—165 Numbers, inverses of 164 Numbers, irrational 88 Numbers, natural 39 74 120 164 Numbers, prime 207 215 Numbers, rational 120 164—165 Numbers, sequences of 38 220 225—228 256n Numbers, square roots of 164—166 Numerus figuratus sive arithmetica arte mirabili inaudita nova constans (Faulhaber) 109 Octahedrons 214—215 215 216 216 218 225 227 239 240 Olympica (Descartes) 13—14 56 57 60 61 62 79 100—101 202 213 Ontario blizzard (2002) 2—4 Optics 5 62 99 132 140 141 150 Oxenstierna, Axel 183 Papacy 49 114—115 142 Paris 7—9 34—39 73 80 96—98 113 116 122 123 124 125 129 131 132 171—172 180 243n Parliament of Brittany 18 21 25 244n Parnassus (Descartes) 202 Pasachoff, Jay M. 237—238 Pascal, Blaise 8 Passions de fame (Descartes) 174 Peace of Westphalia (1648) 54 55 183—184 189 206 Penrose, Roger 236 Pentagons 217 Pericles 66 Perpetuum mobile (Mogling) 111 Philipp of Hesse — Butzbach 108 Philosophy, "vitalist" 103 Philosophy, Cartesian 5—6 95 96 114—115 124 125 133 140 151—157 168 170 173 174—179 208—209 213—214 218—219 229—230 Philosophy, mysticism and 87—89 102 Philosophy, natural 151 154 157 Philosophy, rationalist 5—6 59—60 92 97—98 139 151—152 174—179 213—214 Philosophy, scholastic 30 97—98 152 153 155 158 175 208 Physics, Descartes' contributions to 5 6 24 136—144 153 157 Physics, experimental 37 85 88 137 139 175 Physics, laws of 127—128 130 132 136—144 151 157 Physics, theoretical 134—136 137 139 Picot, Abbe 171—172 Planes 69 165 166 Planetary motion 61 62 104 112 136 139 222 Plato 66—67 91 183 217 218 Platonic solids 215—219 218 221 222—228 237—241 240—241 POINTS 44—45 69 Poitiers 21 34 245n Poitou 17 19—20 24 25 38 42 95—97 113 122 125 130 Poland 52 93 205 Pollot, Alphonse 169 Polybius the Cosmopolitan (Descartes'Pseudonym) 13 14 73—74 Polyhedrons 217 224—225 256n Prague 50 51 77—79 102 167 Preambles (Descartes) 1—2 12 13 38—39 60 73 202 212—213 Principes de philosophic (Descartes) 174 184 Printing 99 132 136 137 Protestants 6 20—21 27 33 39 49—50 51 77 78 89 125—130 132—133 176 188—189 192 197—199 204—205 211 251n Prouhet, E. 220 Proust, Jeanne (Jehanne) 21 Provincial, Armand 33 Ptolemy of Alexandria 104 Pyramids 214—215 215 216 216 227 228 Pythagoras 30 59 68 88 162 215 Pythagorean Theorem 88 162—163 215 Quaestiones celeberrimae in Genesim (Mersenne) 99 Quarrel of Utrecht 171 174—179 180 183 194 Rapin, Pere 99 Ravaillac, Francois 33 Recherche de la verite (Malebranche) 231 Recorde, Michel 121 Rectangles 162 Regius (Henri le Roy) 177 Regulae (Descartes) 209 Regular solids 215—219 221 222—228 237—241 240 Relativity, theory of 236 Rennes 18 23 38 39 95 96 113 115—116 122 172 244n Richelieu, Cardinal 125—130 Rodis — Lewis, Genevieve 25 79 Roman Empire 90 116 129 Rome 49 90 99 115 205 Rosarium novum olympicum 102 Rosay, Mme. de 123—125 Rosenkreu2, Christian 84—86 90 105 Rosicrucians 13 50—51 74 77 82—91 84 92 97—98 100 101—112 113 121 132 159—160 177—178 212—213 215 248n Roth, Peter 77 108 Rudolf II, Holy Roman Emperor 50 51 Rules (Descartes) 152 Russell, Bertrand 208 Ryer, Dr. du 193—194 Saint Francis of Paola 36 Saint George's Chapel 21 Saint Martin's Eve 56—57 129 Saint Paul 176—177 Saint-Germain-des-Pres church 7 8—9 37 199 200 Scheiner, Christoph 142 Schluter, Henry 188 195 197 201 202 Schoock, Martin 178—179 Science, "admirable" 13—14 61 63 79 101—102 109 112 Science, "curious" 159—160 Science, Descartes' contributions to 2 13 38—39 40 61 63 83 89—90 125 170 Science, methodology of 84—91 151—156 174—179 Science, mysticism and 39 82—91 159—160 Science, religion opposed to 87—88 98—100 175 176 229 Science, social influence of 85 86—89 102—103 Science, truth in 59 82—83 89 Science, universal 38—39 58—59 83 105 140 152 Secret notebook see De solidorum elementis (Descartes) Sefirot 48 Selected Works of Descartes (Descartes) 200 Sergeant, Thomas 145 Solar system 104 130 136 138 153 175 222 223 237—238 Sophie, Princess of Bohemia 173 231 Space, infinite 157 238—239 Space, properties of 228 236—237 Space, three-dimensional 166 223 224—229 239—241 256n 111 Spain 33 39 49 50 51 85 95 Sparre, Erik 201 Speculum sophicum (Moegling) 111 Spheres 217 223 Square roots 164—165 squares 162—163 Stoics 183 Straightedges 30—32 31 64 66 67 68 107 162—166 215 Sun 115 142 236 Supernovas 104 Sweden 10—11 22 29 49 60 132 171 172 179 182—197 206 Tannery, Paul 202 204 220 243n Tartaglia (Niccolo Fontana) 117—120 250n Tetrahedrons 216 216 218 225 227 239 Theon of Smyrna 66—67 Thesarius mathematicus (Descartes) 73 Thesaurinella olympica aurea tripartita 102 Thirty Years War 6 54 55 183—184 189 206 topology 227—230 231 Touraine 18—20 22 25 28 38 42 95 122—125 187 192 200 Trajectories 130 136 Triangles as geometric figures 45 215 217 Triangles, perfect 157 Triangles, right 165—166 215 Tronchet, Mine, du 146 Truth, absolute 59 143 151—152 Truth, doubt and 154—155 157 Truth, mathematical 139 154—157 164—166 Truth, search for 59 60 82—83 89 92 124 125 151—152 155 Truth, transcendent 224—225 Ulm 63 72 74 76—77 106 108 111 Universe, theory of; see cosmology Utrecht 171 174—179 180 183 194 Vanini, Lucilio 176 Varaut, Jean-Marc 197 Variables 4 121 Venice 73 114—115 116 117—118 120 130 Venus, transit of 237—238 Vertices 225—228 Viogue, Father 197 201 Virgil 30 52 Virlorieux, Anne de 180 Voetius, Gisbert 147 176—179 202 Volume 66—69 War, art of 39—40 74 125—130 Wars of Religion 49 Weeks, Jeffrey 239 Weulles, Dr. 194—197 198 Wilkinson Microwave Anisotropy Probe (WMAP) 238—239 Wladyslaw IV, King of Poland 173 Yates, Frances 102—103 Zeno of Elea 185
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