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Index Abacus, 1 3, 5, 6 8, 146n11 Academy of Sciences, 18, Adam, Walter, 60, 70 Adorno, Theodor, 101 Alberti, Leon Battista, 12 Algebra, 12 14, 42 Anti aircraft predictor, 90 Anti gunfire predictor,
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Index Abacus, 1 3, 5, 6 8, 146n11 Academy of Sciences, 18, Adam, Walter, 60, 70 Adorno, Theodor, 101 Alberti, Leon Battista, 12 Algebra, 12 14, 42 Anti aircraft predictor, 90 Anti gunfire predictor, Applicatory method calculus and, 97 French methodology and, 97 General War Academy and, 72, 75, 158n75 graphemes and, 102 historiography and, mathematical education and, strategy and, A priori theory, 127 Ardennes offensive, 36 Arithmetic, 91 Baroque power games and, 13, 24 Battle of Numbers and, 2, 5 7, 10 Bergmann and, 146n11 Du-Bois Reymond and, 123 Frege and, 167n1 3 Hilbert and, 118, 137 programming languages and, 140 Zuse and, 140 Ars characteristica, 12, 15 Ars inveniendi, 12, 14 15, 29 Ars iudicandi, 12 Ars magna, 16 Artillery, 74 Cochenhausen and, 80 creeping barrage and, , 113, 164n32 efficiency and, FEKA, 114 friendly fire and, 164n36 geodesy and, 95 heavy howitzer, light field, 104 Pulkowski method and, 107, 164n33 shell trajectories and, 105, 107 tactics for, , 164n36, 165n57 trigonometry and, 94 war games and, 35, 49, 53 Wittgenstein and, 103 Alexander the Great, 64 Altenstein, Karl von Stein zum, 94 Altrock, Konstantin von, 33n3 Aristoteles, 13n13 Asilo, 4, 8 Aspern, Assassination, 71, 83 Assault battalions, 106, 164n36 Astrolabe, 2 Astronomy, 20, 99, Atomic bomb, Attempt at a Tactical Game Based on Chess (Hellwig), 47 Auerstedt, 37, 96 200 Index August, Duke of Braunschweig- L ü neburg, 19 20, 28 Austria, 34, 37 39, 80 Austro-Hungarian Army, 103, 105, 116 Axioms formalism and, 21, 99, 114, , 136, , 168n111, 172n202 set theory and, , , 172n202 theorems and, 94, 129, 142, 167n103 Babbage, Charles, 93 Bacon, Francis, Ballistics, 95 96, 104 Balzac, Honor é de, Barbarossa, 9, 71, 157n70 Baroque power games arithmetic and, 13, 24 drawing and, geometry and, 12 13, 15 King s Game and, 19 28, 31 Leibniz s graphemic strategies and, play as knowledge and, 11, reason and, 11 semiotics and, 11, 14 15, sign systems and, 11, 28 spaces of play and, Weickmann s power game and, Battle formations, 3, 16, 24, 43 Battle of Numbers, 133 abacus and, 1 3, 5 8 arithmetic and, 2, 5 7, 10 Asilo and, 4 Boethius and, 1 2 Borst and, 145n3, 146nn15,29 caracteres and, 7 8 formations of, 1 3 game board of, 2 4, 6, 8 game pieces and, 3 geometry and, 2 3, 5, 8 Germany and, 4 Hermann the Lame and, 2 implantation of mathematics in, 4 8 as novellae plantationes, 4 5 Rithmomachia and, 1 2, 145n3 semiotics of, x, 3, 5 10 Worms school quarrel and, 4 5 writing and, 4 5, 7 8 Baudrillard, Jean, XII, 62 Becker, Oskar, 121, 147n13, 167n104 Being, 30 Bell Telephone Laboratories, 89 Benjamin, Walter, 57 Bergmann, Werner, 146n11 Bergson, Henri, Berlin Association for the Promotion of the Sciences, 29 Berlin University, 42, 79, 91 94, Bernays, Paul, 121, 125 Bernoulli, Jakob, Bismarck, Otto von, Bletchley Park, Blind spot, 124 Blind thinking, 14 Blitzkriegspiel, 79 Boethius, 1 2, 8 Bohemia, 34 Boineburg, Johann Christian von, 18 Bombes, 140 Borel, É mile, 142 Borst, Arno, 4, 145n3, 146nn15,29 Bourbaki, Nicolas, 174n214 Brandes, Georg, 55 Bredow, Ferdinand von, 68 Brouwer, Luitzen Egbertus Jan, 170n166, 172n202 formalism and, , 121, 124, , 135 Hilbert and, 129, 166n89, 168nn32,121 Leibniz and, 127 mentors of, 168n132 metalanguage and, 135 Index 201 photogrammetry and, 128, 169nn136,139 trigonometry and, 128 Weyl and, , 132 Wittgenstein and, 119 Bruchm ü ller, Georg Heinrich, , 164n32 Brusilov Offensive, 105, 109 Br ü hl, Karl von, 39n26 Br ü hl, Marie von, 39n26 B ü low, Bernhard Wilhlem von, 59 B ü low, Heinrich von, 43, 59 Bundeswehr, 73 Bush, Vannevar, 89 Charles of Austria, Archduke, 34 Calculus applicatory method and, Baroque power games and, 12, 28 Church and, 171n184 Dirichlet and, higher mathematics and, 95, Hilbert and, 167n103 infinitesimal, 97 lambda, 138 universal machine and, 138, Zuse and, , 172n191 Cambridge University, 103, , 136, 166n85, 167n103, 171n188 Cameralistic order, Conrad II, 4 Cantor, Georg, Caracteres, 7 8 Cardano, Girolamo, 13n8 Carnap, Rudolf, Carolingian monks, 5 Carroccio, 9 10 Cassini, Jean Dominique Comte de, 53 Cassiodorus, 2 Cassirer, Ernst, 42n37 Catholic Church, 9 Cavalry, 55, 71 Chains of command, 36, 84 88, 111, 158n96 Champagne-Marne offensive, 106 Chaos theory, 48 Charles, Archduke of Austria, 34 Checkmate, 20, 118, 172n202 Chemistry, 89, 99 Chess, 146n8 as Caturanga, 166n82 checkmate and, 20, 118, 172n202 endgame of, 124 formalism and, 118, 120, , 126, 131, 136 game boards and, 3, 6 King s Game and, Murray and, 166n82 Turing and, 172n199 war games and, 28, 35, 52, Weyl and, 166n85, 167n103, 170n165 Zermolo and, 172n202 Zuse and, 141 Chosref Pasha, 55 Christians, 9, 29 Church, Alonzo, , 171nn184,188 Civil wars, 29, 76 Clausewitz, Carl von Aspern and, 37 B ü low and, 43 changed front of, 39 contingencies and, x, doctrine of war and, x drawing and, 43 enterprising spirit and, factory of tactics of, General War Academy and, 32, 42, 47 geometry and, 43 Heidegger and, 73 intellectual history and, 48 mathematics and, x military doctrine of, x xi 202 Index Clausewitz, Carl von (cont.) psychologism of, 69 Reiswitz and, 47 strategy and, 40 43, 73 surveys and, 43 theory of the small war and, 32, 40, 42 Clavius, Christoph, 15 Cochenhausen, Friedrich von, 79 81, 83, 159n116 Coll è ge de France, 97 Combinatorics, 7 Du Bois-Reymond and, G ö del and, Leibniz and, 12, 15 16, 18 Neumann and, 120 sign systems and, terrain pieces and, 53 Communist Party of Germany (KPD), 67 68, 155n51 Conant, James, 89 Confidants, 38, 49 50, 55, 70 Conrad II, 4 Contingencies, x, 29, 35, 37, 47, 101, , 133 Copenhagen model, Counterintelligence, Creeping barrage, , 113, 164n32 Crisis of European Sciences (Husserl), , 138 Cryptology, 5, 109, 111, 144, 164n15 Bletchley Park and, bombes and, 140 ENIGMA and, 140, 161n157 OKW and, 140 Turing and, Cybernetics feedback and, 90 graphemic operators and, 15 McCulloch and, Macy conferences and, 88 ontology of life and, 90 redundancy of potential command and, 87 Wiener and, 90 Dahlmann, Friedrich Christoph, 34 38, 150n8 Dannhauer, Ernst Heinrich, 54, 55n77 Death tolls, 34 Decker, Carl von, 53, 55 Delbr ü ck, Hans, 77 Deliciae Mathematicae (Harsd ö rffer), 15 16, 20 Denkring (thought-ring), Deployment plans, 31, 51 Descartes, Ren é, 12, 19, 95 Dieudonn é, Jean, 101, 121 Dirichlet, Gustav Lejeune, 121, 163n35 boundary conditions and, 95 calculus and, cross-branch applications of, 95 fabrication of physico-mathematical objects and, Fermat s Last Theorem and, 94 Fourier analysis and, 95 Gaussian methods and, 94 General War Academy and, geodesy and, 95 96, 99 higher mathematics and, Humboldt and, Jacobi and, 95 Kronecker and, 92 Kummer and, 92 mathematical physics and, seminars and, 98 99, 101 Dissertatio de arte combinatoria (Leibniz), 15 Drawing, 11, 125 Baroque power games and, Clausewitz and, 43 Faulhaber and, 147n10 Galton and, 134 Index 203 Husserl and, 137 Napoleonic educational system and, 96 sensible models and, 137 seven liberal arts and, 14 Surveying and Drawing Bureau and, 53 terrain, 102 ( see also Maps) Drawing lots, 28 Du Bois-Reymond, É mile, Du Bois-Reymond, Paul defining mathematics and, 101 formalism and, , 126, proof and, 126, psychology and, sign games and, Duels, 104, Du Priassac de Braissac, Sieur, 16, 19 Duty of the General Staff, The (von Schellendorf), 73 É cole polytechnique, 93 94, É coles d application, Edgerton, Samuel, 13 Egypt, 6, 18 Electoral Palatinate, 18 Elze, Walter, ENIGMA, 140, 161n157 Enlightenment, 40 41, 48 Erdmann, Carl, 8 9 Euclidean space, 100 Euler, Leonard, 149n54 Euwe, Max, 141n202 Faulhaber, Johannes, 147n10 Feedback, 90, 107, 111, 171n188 FEKA ( Fernkampfartillerie ), 114 Feigl, Herbert, 119 Feller, Joachim Friedrich, 28 Fermat, Pierre de, 28 29, 94 Fifth Panzer Army, 36 Film industry, Finck von Finckenstein, Wilhelm Leopold Friedrich, 55n77 First World War, ix, 101 assault batallions and, 106 Bruchm ü ller and, 105 Cochenhausen and, 80 duels and, 114 General Staff and, 60, 75 Heidegger and, 73 inventions of, 104 J ü nger and, 113 loss of leaders and, Ludendorff and, 40 map production and, 169n138 military elite and, 106 official depiction of, 74, 77 power of command and, 158n96 Seeckt and, 84 signal corps equipment and, 64 war trauma and, 86 Foot soldiers, 8, 43. See also Infantry chess and, 166n82 creeping barrage and, , 113, 164n32 Formalism, 70 a priori theory and, 127 body concept and, Brouwer and, , 121, 124, , 135 Copenhagen model and, countably, 130 Du Bois-Reymond and, , 126, Hilbert and, , 135, 137, 139, , 166nn85,89, 167n103, 168nn111,121 intuitionists and, , 127, 135, 172n202 Kelsen and, 131 legal theory and, Leibniz and, 204 Index Formalism (cont.) mathematics and, , 135, 141, 143, 147n13, 167nn100,103, 168n129 metalanguage and, 135 Neumann and, , , 167n100 space and, Turing and, uncountably, 130 Weyl and, , 124, Wittgenstein and, Formula games, , 124, 129, 132, 144, 167nn103,104 Foucault, Michel, 80 Fourier, Joseph, 97 Fourier series, 95 Franco-German War, 74 Fr é chet, Maurice, 142n173 Frege, Gottlob, 121, 131, 139, 167n103 Friedrich I (Barbarossa), 9 Friedrich II, 29n54, 32 Friedrich Wilhelm I, Friedrich Wilhelm IV, 42 Friedrich Wilhelm II, 32, 158n96 Friedrich Wilhelm III, 32, 37 39, 93 Friedrich Wilhelm University, 74, 76, 79, 105, 159n116 Friedlein, Gottfried, 2n10 Friendly fire, 164n36 Fromm, Friedrich, 83 F ü hrer principle, 77 chain of command and, 88 cult of, as military-technical term, 80 Oberf ü hrer and, 82 83, 160n134 Schmitt on, surveys and, F ü hrerschulung (leadership training) (Cochenhausen), 80 F ü hrerstab officers, 68 F ü hrertum (Leadership) (Cochenhausen), F ü rst, Carl Joseph Maximilian von, 42 Furttenbach d. Ä ltere, Joseph, 26 Galician Tarnopol, 106 Galton, Francis, Game boards, ix Baroque power games and, 12, 19 22, 24, 28 Battle of Numbers and, 2 4, 6, 8 Leibniz and, 12, 28 Weickman s King s Game and, 19 22, 24, 28 Games Alberti on, 12 ars characteristica and, 12, 15 ars inveniendi and, 12, 14 15, 29 ars iudicandi and, 12 battlefield and, ix formula, , 124, 129, 132, 144, 167nn103,104 language, Leibniz and, 12, 15, 29 mathematics and, ix ( see also Mathematics) purpose and, 11 sign, 118, , 133, 135, 137, 167n104 zero-sum, 144 Game theory Baroque Period and, Copenhagen model and, cryptology and, Leibniz and, 11, Morgenstern and, 142 Neumann and, 69, 88, , , 145n1, 161n157, 167n100, 171nn188,190, 173n209 origins of, play as knowledge and, 11, purpose and, 11 sign systems and, 5 6, 11, 28, , , 141, , 147n104, 167n104, 171nn175,184 Index 205 spaces of play and, universal machine and, Weickmann and, Wiener and, 88, 90, 141, 161n157 Gans, Eduard, 95 Gas masks, 108 Gauss, Carl Friedrich distributions and, 170n164 formula games and, 121 geometry and, 99 heliotrope and, 99 higher mathematics and, 93 95, magnetometer and, 99 surveys and, 99 theory of quantities and, 123 Gayl, Wilhelm von, 70n64 General-Ober-Finanz-Kriegs und Dom ä nen-direktorium, 31 General Staff aerial photographs and, 128 applicatory method and, assault battalions and, 106 chains of command and, 36, 84 88, 111 dissolution of Great, 68, 159n97 founding of system of, 35 F ü hrergehlife and, 160n135 F ü hrer principle and, higher mathematics and, historiography of, 60 61, 68, Krebs and, 72 Manstein and, Marcks and, 157n70 M ü ffling and, 51 53, 55, 73, 92 93, 96 Quartermaster General and, 161n136 Reiswitz and, revival of, Scharnhorst and, 35 Schellendorf compendium on, 73 Verdy and, war games and, 35 37, 43, 51 55, 60 General War Academy, 85 applicatory method and, 72, 75, 96 97, 158n75 ballistics and, Clausewitz and, 32, 42, 47 Dirichlet and, education methods and, 99 geodesy and, 95 96, 99 higher mathematics and, Lilienstern and, 97 war games as, Geodesy, 95 96, 99 Geometry Baroque power games and, 12 13, 15 Battle of Numbers and, 2 3, 5, 8 Bergmann and, 146n11 Bergson and, 133 Clausewitz and, 43 Descartes and, 95 Euclidean space, 100 Gauss and, 99 geodesy and, 95 96, 99 higher mathematics and, 95 Husserl and, 136 George, Stefan, 78 Gerbert of Aurillac, 7 Germany Battle of Numbers and, 4 Denkring and, ENIGMA and, 140, 161n157 language of, navy codes and, polytechnic school for, Prussia and, 32 ( see also Prussia) regionalism and, 32 Reichswehr and, xi xii, 59 61, 65 70, 76, 79 86, 154n23, 155nn50,51, 156n64, 158n96, 159n118, 160n135 Third Reich and, ix, 57, 80 Wehrmacht and, 36 37, 60, 62, 65, 67, 70, 72, 77 82, 85 86, 154nn23,29, 157n70, 158n96 Worms school quarrel and, 4 5 206 Index Geyer, Hermann, 164n36 Gneisenau, August Neidhardt von, 38 39, 42 Go, 29 God, 30, 38 G ö del, Kurt, , 137 Goebbels, Josef, 72, G ö ring, Hermann, 76, 84 G ö ttingen Mathematical Society, 143 G ö ttingen Seven, 34 Graphemes applicatory method and, 102 cybernetics and, 15 Fourier series and, 95 Leibniz and, Schnelle and, 15 semiotics and, 8, traces and, 102 Greeks, 8, 148n26 battle formations and, 16 letter-numbers and, 5, 7, 146n28 mathematics and, Griesheim, Karl Gustav Julius von, Grimmelshausen, Hans Jakob Christoffel von, 22 Groener, Wilhelm, 61, 159n118 Grolmann, Karl Wilhelm Georg von, Guilbaud, Georges,142n206 Gurian, Wlademar, 57n2 Gutenberg press, 1, 7 Habsburg, Marie-Louise von, 38 Haeften, Hans von, 77 Hahlweg, Werner, 77 Hamlet (Shakespeare), Handbook for the Application of Pure Mathematics (von Radowitz), 94 Handbook of the Modern Military Sciences (Cochenhausen), 80 81, Handelshochschule (college of commerce), 67 Harsd ö rffer, Georg Philipp, 15 20, 148n33 Hartlaub, Felix, Harvard University, 89 Hasenj ä ger, Gisbert, 140 Hegel, Georg Wilhelm Friedrich, Heidegger, Hermann, 73, 158n77 Heidegger, Martin, 30, 109, 144, 167n104 Heinrich, Maximilian, 24 Heliotropes, 99 Hellwig, Johann Christian Ludwig, 47 Hermann the Lame, 2 Herodotus, 6 He ß, Rudolf, 84 Heydrich, Reinhard, 62 Heyting, Arend, Hierl, Konstantin, 82 Higher mathematics anti aircraft predictor and, 90 anti gunfire predictor and, Berlin University and, boundary conditions and, 95 fabrication of physico-mathematical objects and, General War Academy and, graphemically elaborated trace and, 102 Prussian military collapse and, Hilbert, David, 169n135 arithmetic and, 118, 137 Brouwer and, 129, 166n89, 168nn32,121 calculus and, 167n103 formalism and, , 135, 137, 139, , 166nn85,89, 167n103, 168nn111,121 G ö del and, 119 G ö ttingen school and, 142 infinity and, 126 Konigsberg conference and, metalanguage and, 135 Index 207 physico-mathematical objects and, 98 positivism and, 122 Rockefellers and, 142, 173n208 Second International Congress of Mathematicians and, 122 sign systems and, 121, 126 space and, Weyl and, 129, 168n121 Hilbert spaces, 99, 143 Himmler, Heinrich, 62n29 Hindenburg, Paul Ludwig Hans Anton von Beneckendorff und, 70 Hindu-Arabic digits, 1 Historiography, xii, 152n55 applicatory method and, chains of command and, F ü hrer principle and, Leibniz and, 28 ongoing war and, Ott and, the real of simulations and, theater of war and, Hitler, Adolf, 77 attempted assassination of, 71, 83 continuous briefings of, 72 F ü hrer principle and, 78 84, 80, 82 Nazis and, 59, 171n190 Schmitt and, 59 seizure of power by, 71 von Schleicher and, 59 Hoetzendorf, Conrad von, 80 Hofmann, Rudolf, 36 Hohenzollern kings, 32 Holy Roman Empire, 31 Homburg, Friedrich von, 33 34, 38, 114, 150n26 Horkheimer, Max, 101 Howitzer Regiment, Huber, Ernst Rudolf, 66, 70, 156n64 Humboldt, Alexander von, 74, 92 96, Humboldt, Wilhelm von, 92 Husserl, Edmund, , 170n172 Huygens, Christian, 29 Iconology, 9, 22 Independent thinking, 40, 86, Individual actions, , 112, 114, 127 Infantry assault battalions and, 106, 164n36 creeping barrage and, , 113, 164n32 individual actions and, , 112, 114, 127 ready rifles and, 113 tactics for, , 111, 113 war games and, 36, 43, 55, 63, 72 Infinity, 126 Information theory redundancy of potential command and, 87 Shannon and, 87, 141, 144 universal machine and, Intuitionists, , 127, 135, 172n202 Jacobi, Jacob, 95, 101 James I, James Stuart 57 59, 153n7 Jena, 37, 91, 96 Jesuits, 93 Jewett, Frank, 89 Jews, 77 John II Casimir, King of Poland, 18 Johann Moritz von Nassau-Siegen, 16 J ü nger, Ernst, 73, , , 153n16, 165n58 Kalm á r, L á szl ó, 141n202 Kant, Immanuel, 40 42, 48, 114, , 131, 151n37 Kelsen, Hans, 131 Kessel, Eberhard, 77 Keynes, John Maynard, 19 208 Index Kiesewetter, Johann, 42 King s Game chess and, drawing lots and, 28 eruptions of temperament and, 24 figures of, game boards of, 19 20, 24 hierarchy and, 22 insult and, 22 inward battle of, 24 Leibniz and, power and, 24 protestation and, 22 rule s of, 20 semiotics of, tableau of, 20 topology of, Weickmann and, 19 28, 31 Kittler, Friedrich, 109 Kittler, Wolf, Klein bottles, 101 Kleist, Ewald von, 36 Kleist, Heinrich von, xi, 44 double game of, 34 Kant crisis of, 151n37 Kittler and, Lilienstern and, 97 plays of, 33 34, 38, 114, 150n26 reinstatement of, suicide of, 34, 39 war games and, Kleist, Marie von, 38 39, 44, 150n26 Kling, Thomas, 83n140 Knesebeck, Karl Friedrich von dem, 34, K ö nig, D é nes, 72n202 K ö pke, Gerhard, 61 Krebs, Hans, 72 Kriegspiel, 79 Krieg und Krieger (J ü nger), 73 Kronecker, Leopold, 92 Kummer, Eduard, 92, 96 98, 101, 105 Lake Naroch, 106 Lambda calculus, 138 Lampe, Erich, 97 Language games and, mathematics and, 116 metalanguage and, 102, 135 programming, 141 Wittgenstein and, , Laplace, Pierre-Simon, 97 Law of large numbers, 29 League of Nations, 61, 65 Legal theory, Leibniz, Gottfried Willhelm, x academy of games and, 29 albegra and, 14 ars characteristica and, 12, 15 ars inveniendi and, 12, 14 15, 29 ars iudicandi and, 12 blind thinking and, 14 Brouwer and, 127 Dr ô le de Pens é e and, 29 formalism and, graphemic strategies of, historiography and, 28 intellectual work and, 14 law of large numbers and, 29 machine design and, 14 pictorial space and, 14 politics and, rigid calculability and, 28 semiotics and, 11, 14 15, 28 spaces of play and, University of Altdorf and, 18 Weickmann and, 27 writings of, 14 Letter-numbers, 5, 7, 146n28 Libellus Scolasticus (von Speyer), 8 Lilienstern, Otto August R ü hle von, 97 List, Wilhelm, 88 Locarno treaties, 61 Index 209 Logic, 5, 140 a priori theory and, 127 axioms and, 21, 99, 114, , 136, , 168n111, 172n202 Baudrillard and, 62 Blumenberg and, 164n15 Brouwer and, 129 Church and, 138, 171n184 circular, 114 Clausewitz and, 43 Du Bois-Reymond and, 124 duels and, formalism and, , 135, 141, 143, 147n13, 167nn100,103, 168n129 Hilbert and, 118 identity and, 115 intuitionists and, , 127, 135, 172n202 Kant and, 48 place-value systems and, 6 Polish school of, 171n190 probability and, 19 proof and, 12, 94, 114, , , , 166n85, 167n103, 172n202 real of simulation and, Reiswitz and, 48 Russell and, , , 167n103, 168n121 Scholz and, , 172n194 semiotic, 10, 14 ( see also Semiotics) suspicion toward field of, 145n4 Turing and, Weyl and, 131 Whitehead and, 105, 118, 139 Wittgenstein and, 104, , Zuse and, 141 Lombard cities, 9 Los Alamos, 89 Lotteries, 29, 149n54 Louis XIV, King of France, 18 Ludendorff, Erich, 40, 63, Ludwig Wilhelm von Nassau-Siegen, 16 Lukasiewicz, Jan, 139n190 Lullus, Raymundus, 16 McCulloch, Warren, Machines, ix x Adam Smith and, 134 Babbage and, 93 calculating, 18, 29 30, 93 calculus and, 138, 140, 141 Clausewitz and, 43 conduct of war as, 42 enemy, 88 fictive, game theory and, imaginary, 134 Leibniz and, 14 Napoleonic educational system and, 96 Neumann and, paper, 13 14, 42, 136, , 171n175, 172n199 perspectivist techniques and, 13 redundancy of potential command and, 87 strategy and, theater and, 27 Turing, universal, Zeus, 170n165 Zuse and, Macho, Thomas, 109 McKinsey, John C. Chenoweth, 139n190 Macrae, Norman, 143n209 Macy conferences, 88 Magnetometers, 99 Mahoney, Michael S., 87n153 Mainz, 18 Manstein, Erich von, 60 61, 65 67, 71, 154nn19,29 210 Index Maps, 78, 159n111, 169n38 aerial photographs and, 128 Alberti and, 12 Brouwer and, 128 captured enemy, 64 exercises in, 36 37, 65, 71, 80, 84, 157n70 four-color problem and, 151n37 tacticians and
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