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INDEX

A

Academia del Cimento, 146

Academy of Sciences. See Paris Academy of Sciences

Academy of Sciences (St. Petersburg), 270

Accuracy. See Measurement

Achromatic lens, 193

Acids (theory of), 95

Adam, Jean, 366

Adanson, Michel:

criticized Linnæus, 57 , 61 , 79 ;

encyclopedic efforts of, 69 ;

"natural method" of botanical classification, 79 -81

Æsthetics, 38

Aggregaten , 49 -50

Agricola, George, 248

Agriculture. See Climatology

Algebra, 118 , 136 -7, 138 , 340 , 377 ;

the language of mathematics, 115 , 118 , 124 , 135 ;

order of algebraic curves defined, 100 -2

Algology, 69

Allgemeine Geschichte der Natur in alfabetischer Ordnung (Martini), 68

Allgemeines oekonomisches Forstmagazin (Stahl), 319

Alphabet:

alphabetical order of encyclopedias, 48 ;

"alphabetic chaos," 123 ;

alphabetism, 52 ;

used by Linnæus, 55 .

See also Language

A mathematical treatise on the effect of water mills (Elvius), 296

Analysis, 83 , 116 ;

inductive method of, 293 , 297 , 377

Analytic geometry. See under Geometry

Analytic triangle, 101 -2, 102 n

Anatomy, 107

Ancien Régime, 22 , 207

Anfangsgründe der Probierkunst (Cramer), 252

Animalcule theory, 277

Arbuthnot, John, 384

Architecture, 238 , 239

Arcs of meridian. See Measurements of arcs of meridian; Metric system

Arithmetic mentality, 71 .

See also Mathematics; Quantifying

Aristotelian tradition, 76 , 345 , 366

Armaments, 18 .

See also Military

Artificial languages. See Universal languages

Astronomy, 375 -6, 377 ;

aberration of stars, 7 ;

inclination of earth's axis, 7 ;

nutation of the earth, 7 ;

mathematization of, 88

Atemporality:

in Linnæan botany, 78 ;

characterless time in meteorology, 152

Atheism, 32 , 35 , 37 , 41

Atomic theory, 263

Aune, 207 -8

B

Bacon, Francis, 114

Baker, Keith, 392

Balance, 248 , 252 , 254 , 298 .

See also Chemical balance; Hydrostatics


398

Banks, Joseph, 186 , 187

Banksians, 185 , 186

Barometers, 6 , 148 -9, 157 , 169

Barometric hypsometry, 8

Barometry, 144 , 175

Barruel, Etienne, 103 -5

Baseline:

establishment of, 200 -1, 224 , 233

"Bastard" offspring (hybrids), 277 -8, 279 -81, 285

Baumgarten, Alexander Gottlieb, 38

Beccaria, Giovanni Battista, 181

Becher, J.J., 248 , 251

Bechstein, Johann Matthäus, 338

Beckmann, Johann, 319

Berch, Anders, 356

Bergman, Tobern, 93 -4, 250 , 255 , 256 , 264

Berlin Academy, 43 , 132

Berthollet, Claude Louis, Comte, 94

Berzelius, Jons Jacob, 255

Bessel, Friedrich Wilhelm, 204 , 205

Beyträge zur Verbesserung der Forst-wissenschaft (Beckmann), 319

Biblioteca botanica (Linnæus), 79

Bichat, Xavier, 107

Bilfinger, Georg Bernhard, 37 -8

Binomial nomenclature:

of chemicals, 93 -4, 95 -6;

of plants, 21 , 74 , 79 , 80 ;

proposed for minerals, 92

Biot, Jean Baptiste, 223

Black, Joseph, 262

Blowpipe, 255 -6

Böckmann, Johann, 168 -9

Bomare, Valmont de, 68

Bonde, Gustaf, 41

Borda, Charles, 18 , 233 , 234 , 294 ;

role in Paris-Greenwich triangulation, 217 , 222

Boscovich, Roger, 181

Bos, Henk, 381

Botanical classification, 79 -81

Botanicum, 66

Botany:

animalcule theory, 272 -3, 277 , 287 ;

comparison of Linnean and Adanson approaches, 81 -2;

systematic model of, 52 , 70 , 73 , 75 -8, 108 .

See also Adanson, Michel; Binomial nomenclature; Linnæus, Carolus; Natural history; Plant reproduction

Boyle, Robert, 124 -5

Brockhaus, 49

"Broken circle," 70 -1.

See also Great chain of being; Natural history

Broussonet, Auguste, 160

Bruststärke, 327

Buffon, Georges Louis Leclerc, Comte de, 47 , 56 , 279 ;

criticism of mathematics, 395

Bureaucracies, 3 , 22 , 23 , 315 .

See also Cameralism; Military

C

Calcul analytique (calculation), 372 , 376

Calculus:

advocated, 378 ;

in astronomy, 377 ;

decimal, 212 ;

integral, 175

Calon, General E.N. de, 230 -1

Calorimeter, 6 , 260 , 370

Cambry, Jacques de, 125

Cameral College, 321

Cameralism, 315 -6, 340 , 393 ;

influence on forest management, 320 , 336 -7

Cardwell, D.S.L., 382

Carte de Cassini , 204

Cartesian methods, 384

Cartography, 14 , 179 , 231 ;

militarization of, 200 -6;

and political economy, 201 .

See also Geodesy

Cassini de Thury, César François, 180 , 181 , 200 ;

role in Paris-Greenwich triangulation, 186 , 193 , 217


399

Cassini, Jacques Dominique, 179 , 188

Cassirer, Ernst, 45 , 83

Cavendish, Henry, 162

Celestial mechanics (Laplace), 375

Celsius, Anders, 38 , 39 -40

Census, 12 , 13 , 14 ;

fears over a general, 349 ;

reforms following, 360 ;

secrecy of, 359 -60

Central Bureau of Statistics (Sweden), 358

Certainty, 137 , 382 ;

and the calculus of probability, 378 -9, 385

Chain of identities, 118

Chambers, Ephraim, 47

Charcoal:

studies on, 302 -3, 305

Chemia sublimior , 265

Chemia vulgaris , 264 -5

Chemical balance, 6 , 247 -8

Chemical revolution:

influence of economic interests on, 243 , 250 -1;

influence of experimental physics on, 243 , 256 -62, 265 -6

Chemical theory, 246 -7;

instrumentalist approach to, 262 -6,

phlogiston theory modified, 264 -5;

qualitative nature of early, 248 ;

role of analytic quantifying in, 253 -6, 261 , 265 ;

theory of definite proportions, 255 , 256 , 257

Chemistry:

effect of systematic model on, 88 ;

applied, 107 -8, 249 -50, 252 ;

chemical classification of minerals, 90 , 91 -2;

instruments introduced from physics, 258 -60;

reform of chemical nomenclature, 93 -4, 95 -6.

See also Phlogiston theory

Children:

value of, 354 , 355

Chronology. See Chronometers; Clocks; Time

Chronometers, 6

Chymische Untersuchungen (Pott), 249

Circle. See Repeating circle

Circle of knowledge, 46

Climate:

relation to public health and agriculture, 154

Climatology, 23 , 145 -6, 171 -2, 176 -7;

agricultural applications of, 155 , 160 -1, 165 ;

meteorological parallels, 150 , 152 ;

origins of, 144 , 152 -3;

projects of the Société royale de médecine, 164 -73;

the "weather rule," 151 , 152 .

See also Meteorological networks

Clocks, 7 , 298

Colbert, Jean Baptiste, 180 , 322

Colden, Cadwallader, 147

Coleridge, Samuel Taylor, 50 n;

criticized state of botanical science, 67

Collin, Gabriel, 298

Combinatorics, 139

Combustion, 94

Commission temporaire des poids et mesures républicains, 228 -9

Compass:

magnetic, 143 , 169

Computers, attempt to eliminate, 212

Condillac, Etienne Bonnot de, 182 ;

analysis of language, 115 -20;

influenced systematic model, 93 -4, 99 , 109

Condorcet, Marquis de, 115 -20, 133 , 219

Contradiction (principle of), 33

Conversationslexicon (Brockhaus), 49

Cook expedition, 65 , 69

Cortical layers, 274

Cotta, Heinrich, 322 , 329 -30

Cotte, Louis, 165 -7, 174

Coulomb, Charles Augustin de, 18 , 145 , 307 , 308

Cramer, Gabriel, 100 -3

Cramer, Johann, 252

Crest, Michel du, 161


400

Critica botanica (Linnæus), 74 , 78

Cronhielm, Gustaf, 41

Cronstedt, Axel Fredrik, 251 , 254

Crystal:

geometric form of, 89

Crystallography, 89 , 90 , 371 -2;

theory of crystalline structure, 92 , 93

Cullen, William, 262

Cuvier, Georges Leopold, Baron, 110

Cyclopedia (Chambers), 47 , 50

D

Dalby, Isaac, 187 , 191 -2, 198

D'Alembert, Jean Le Rond, 48 , 118 -9;

skepticism about mathematics, 395

Dalton, John, 145 , 263

D'Avenant, Charles, 349 , 351

Decimal calculus, 212

Decimals, 195 -6, 215 , 227 ;

as "natural arithmetic," 212 -3, 221 .

See also Metric system

Decimal scale, 298

Deductive method, 33 -4, 293 -7, 377 -8

Definitive meter, 231 -2, 234 , 237

De Gerando, Baron Joseph Marie, 136 -8

De Gribeauval, Jean Baptiste, 18

Delambre, J.B.J., 199 , 213 ;

role in metric project, 226 -7, 229 , 231 , 232 , 233

De l'Isle, Romé, 90

Delormel, Jean, 121 -2

Deluc, Jean-André, 156 , 160 , 169 , 371

Demography. See under Statistics

Denier, 212

Dépôt de la Marine, 234

De re metallica (Agricola), 248

Derham, William, 147 , 149 , 150

De Saussure, Horace Bénédict, 157 , 175

Des caractères extérieurs des minéraux (de l'Isle), 91

Description of Lajhela Parish in Österbotten , 353 -4

Dhombres, Jean, 386

Dictionnaire portatif d'histoire naturelle (Linnæus), 68 -9

Dictionnaire raisoné universel d'histoire naturelle (Bomare), 68

Dictionnaire des arts et métiers , 17

Diderot, Denis, 20 , 395

Directions for the organization and assessment of the forest (Cotta), 330

Discours préliminaire (d'Alembert), 47

Diseases: classification of. See Nosology

Diseases: climate as a source of, 154 -5

Diurnal variation, 171

Diversions of Purley (Tooke), 113

Döbel, Heinrich Wilhelm, 327

Doctrine of proportions, 356

E

Earth:

controversy over shape of the 7 , 181 , 182 , 216 -7;

ellipsoidal model of, 192 ;

geoid model of, 205 -6;

spheroidal model of, 190 -2.

See also Geodesy; Measurement of arcs of meridian

Ecole polytechnique, 103

Economics, 382

Encyclopedia Brittanica , 49

Encyclopedia metropolitana , 50

Edelcrantz, Abraham Niklas, 129 -30

Ekström, Daniel, 298

Electrometer, 6 , 8

Element, 20 , 263

Elements of Chemistry (Lavoisier), 212

Elvius, Pehr, 296 , 310

Encyclopedias, 46 , 48 , 50 , 305 ;

and information, 51 , 70

Enc yclopédie (Diderot and d'Alembert, eds.), 20 , 22 , 44 -9, 86 , 114 , 118

Encyclopédie méthodique , 68

Encyclopedism, 20 , 45 -51, 267


401

Entomology, 70

Ephemerides , 170 , 171 , 172

Epigenesis (theories of), 275

Epp, F.X., 172

Esprit géométrique , 1 , 2 , 83 -6, 395 .

See also Mathematics; Quantifying

Esprit de système, systématique , 45 , 46 .

See also Systematic model

Etat major , 203 -4

Euler, Leonhard: 100 , 102 , 115 , 388

Evolution:

hypothesis of Linnaeus, 55 -6, 57 , 78 , 287 -8

Experimental physics. See Physics

Exposition du système du monde (Laplace), 364 , 375

Experiments on magnesia alba (Black), 262

F

Falun Copper Mine:

failure of, 251

Familles des plantes (Adanson), 79

Felbiger, Ignaz, 159

Ferguson, Eugene, 308

Ferment of knowledge, The (Rousseau and Porter), 381 -2

Ferraris, Joseph Jean, 183

Feuilles d'analyse (Monge), 102

Firmas-Périès, Comte de, 130

Fischer, Johann Carl, 9

Fontenelle, Bernard le Bovier de, 1 , 384

Forest management, 15 , 316 ;

based on mass of wood, 325 -7, 328 , 330 , 331 -2;

ecosystem approach to, 342 ;

resistance to mathematization of, 342 ;

schools of, 319 -20, 321

Forestry science:

tradition of in Germany, 317 , 322 , 336 , 341 ;

mathematics used in, 327 -8, 331 , 335 -7, 340 ;

measuring volume of the cord, 328 -9

Forestry. See Forest management

Forests:

calculating value of, 33 , 331 ;

consumption and depletion of, 14 -5, 301 , 302 , 318 ;

economic importance of, 317 -8, 320 ;

the standard tree, 15 , 329 , 332 ;

mensuration and cartography of, 324 , 326 , 332 , 339 ;

regulation and standardization of, 330 , 333 -5, 339 , 340 -1;

sustained and periodic yield of, 334 -5, 337 -40.

See also Timber

Forstwissenshaft. See Forest management

Fortsetzungen (Koelreuter), 274

Foucault, Michel, 52 n, 108 , 151 , 175 , 201

Fourcroy, Antoine, 94 , 95 -6, 106

Frederick the Great, 33

Freind, John, 256

French Revolution, 373 ;

encouraged quantifying, 14 , 213 , 242 , 390 ;

and meteorology, 173 -4;

revolutionary calendar, 213 -4;

and the telegraph, 125 -6, 127 -8.

See also Metric system; Political economy; Politics

G

Gadbled, Christophe, 366 -7

Gadolin, Jacob, 64

Galileo (Galileo Galilei), 28

Gamble, John, 130 -1

Gardens, 65 , 66

Gartner, C.F. von, 287

Gauss, Carl Friedrich, 204

Genera morborum (Linnaeus), 98

Genera plantarum (Jussieu), 80

Genera plantarum (Linnaeus), 55

Genus, 271

Geodesy, 179 ;

methods of compared, 188 , 189 -90;

problems of 18th century, 183.

See also Earth

Geodetic instruments, 192 , 193 ;

achromatic lens, 193 ;

repeating circle, 193 , 194 -5, 200 , 217 , 224 -5; 225 ;

pendulum, 219 -22, 224 ;

theodolites, 6 , 200


402

Geodetic surveys:

French led in, 183 ;

a resource for centralized government, 201 .

See also Measurement of arcs of meridian

Geoffroy, Etienne François, 261

Geographische Geschichte des Menschen und der allgemein vierfüssigen Thiere (Zimmermann), 58 -9

Geography. See Cartography; Earth; Geodesy

Geoid model, 205 -6

Géomètre philosophe , 376

Geometrical grid, 201 , 236

Geometry:

analytic, 100 -2;

Euclidean, 3 , 384 ;

geometric forms, 89 ;

shift from geometric to arithmetic mentality, 71 ;

spirit of, 1 , 2 , 71 , 83 -6;

three dimensional, 102 -3.

See also Measurement of arcs of meridian

Geschichte der Physik (Fischer), 9

Gillispie, Charles, 389 , 392

God:

existence of, 35 -7;

plan of, 21 , 356 ;

plenitude dilemma, 63

Goethe, Johann Wolfgang von, 69

Gonde, Gustaf, 41 -2

Grand nomenclateur , 123

Great chain of being, 59 -60, 61 , 70 ;

changes in concept of, 62 -3

Great Copper Mine, 295

Greenwood, Isaac, 147

Grosses vollständiges Universal Lexicon (Zedler), 20 , 47

Gulliver's Travels (Swift), 395 -6

Guns, 18 .

See also Military

H

Hales, Stephen, 258

Haller, 57

Hamberger, G.A., 146

Hammaraeus, Olof, 39

Happiness:

quantity of, 382

Harmony:

of the world, 356

Hartig, Georg Ludwig, 320 , 331

Hasselström, Johan Gustaf, 298

Haüy, René Just, 90 -1, 93 , 371 -2

Hemmer, Johann Jakob, 168 , 169 , 171

Henckel, Johann Friedrich, 257

Hennert, Carl Wilhelm, 328

Herder, Johann Gottfried, 132

Hermann, Johann, 63

Hierarchical systems, 52

Histoire naturelle (Buffon), 47

History of technology (Singer et al.), 246

Horse whims, 306 -7

Horsley, Samuel, 163 -4

Hossfeld, Johann, 326 , 328 , 329 , 336

Hourwitz, Zalkind, 125

Humboldt, Alexander von, 177

Humboldtian science, 69 -70

Humors (theory of), 154 -5

Huygens, Christian, 7

Hybridization: 267 -8, 277 ;

proof of plant sexuality, 270 -1

Hybrids:

characteristics of bastard off-spring, 277 -8, 279 -81, 285 ;

production of, 273 -4, 276 -81;

reversion of parent species of, 282 ;

self pollination of, 278 -9;

Verbascum , 285 -6

Hydraulic power, 293 , 295

Hydrauliska försök, anställda vid Fahlu grufva, dren 1811-1815 (Lagerhjelm), 296 n, 296 -7

Hydrodynamics:

apparatus, 294 , 298 ;

experiments, 296 , 300 ;

hydrostatics, 296

Hydrostatic balance, 246 -7, 257

Hydrostatics, 144

Hygrometry, 104 , 157 , 159 , 175

I

Ideas (quantifying of), 137

Idéologie , 133 -4


403

Idéologues , 133 -4

Images. See Metaphors

Indicule , 122 -3

Inductive method, 293 , 297 , 377

Industry:

dependent on mechanical energy, 292 -3;

interaction with science, 250 -1;

productivity and rationalization of, 17 , 19 , 22 , 302

Information:

and encyclopedias, 51 , 70 ;

explosion of, 3 , 45 , 382 , 383 ;

sources of data, 343 , 357 , 360 ;

verbal versus numeric, 345 -6

Institutions, 312 ;

authority of, 300 -1, 313

Institut national de France, 133 -4, 233 .

See also Paris Academy of Sciences

Instrumentalism, 4 , 5 , 20 , 28 , 262 -6;

key to quantifying and standardization, 3 , 8 , 382 .

See also Geodetic instruments; Measurement; Meteorological instruments

Instruments, 6 .

See also by individual names

Insurance:

calculation of premiums, 350

Interior relations, 175

Introductio in analysin infinitorum (Euler), 100

Introduction à l'analyse des lignes courbes algébriques (Cramer), 100

"Invitio ad observationes meteorologicas," 147

Ironmasters, 19 , 294 -5, 299 -300

Isis Critical Bibliography , 383

Isotherms, 177

J

Jars, Gabriel, 252

Jefferson, Thomas, 16 , 17 , 18 , 219 , 222

Jurin, James, 147 .

See also "Weather watch," 147

Jussieu, Antoine-Laurent de, 80

Justi, Johann Heinrich Gottlob von, 251

K

Kalmár, György, 120 -1

Kameralwissenschaft. See Cameralism

Kanold, Johann, 147

Kant, Emmanuel:

criticism of Linnæan natural history, 64

Karl Theodor, Elector, 168

Keill, John, 254

Kew Gardens, 66

King, Gregory, 349

Klingenstierna, Samuel, 40

Koelreuter, Joseph Gottlieb:

character and work of, 268 , 272 -3, 288 ;

homogenous fluid concept of, 274 -5;

on "identity of reciprocal crosses," 277 ;

quantitative method of, 21 , 276 t, 288 -9.

See also Hybridization

L

La belle Marianne , 242

Laboratories, 19 , 291 ;

in field and forest, 304 -5, 311

La Condamine, Charles-Marie de, 208 -9, 220

Lagerhjelm, Pehr, 19 , 295 ;

background of, 299 -300

Lagrange, Joseph Louis, 374

La langue des calculs (Condillac), 119

Lamarck, Jean-Baptiste de Monet de, 68

Lambert, Johann Heinrich, 85 , 159 , 175

Lancelin, P.F., 134 -5, 137

Land Survey Board (Swedish), 353

Land surveys, 15 -6, 353 -4

Language:

analysis of, 20 , 115 -20;

attempts to rationalize and quantify, 120 , 121 , 131 , 132 -7, 139 -40;

difficulties in reforming, 138 -9.

See also Alphabet; Metaphors; Nomenclature; Rhetoric; Universal languages

Laplace, Pierre Simon de:

life of, 365 -70, 379 ;

theory of molecular physics, 4 , 23 ;

role in science, 363 -4


404

Lärbok i kemien (Berzelius), 299

Lavoisier, Antoine Laurent, 212 , 259 ;

arrested and released, 228 -9;

law of conservation of mass of, 259 ;

overthrew phlogiston theory, 94 ;

theory of acids of, 95

Leeuwenhoek, Antony van, 63

Legendre, Adrien-Marie, 187

Leibniz, Gottfried Wilhelm, Baron von, 29 , 30

Lenoir, Etienne, 193 .

See also Repeating circle

Le Roy, Jean Baptiste, 219

Lexicography, 51

Lexicons, 20 , 49 , 50 , 51 , 77

Librarianship:

schools of, 52

Life expectancy, 350

Liggmilor , 302 -3

Light (as a property), 104

Lindley, Joseph, 189

Linnæus, Carolus:

character of, 98 , 109 -10, 274 ;

estimated number of species, 54 ;

evolutionary hypothesis of, 55 -6, 57 , 287 -8;

extent of influence of, 21 , 79 ;

"sexual system" of, 60 , 61 , 62 , 76 -8, 79 , 270 -1.

See also Botany, Binomial nomenclature

Linnean Society of London, 65

Lower and higher practical stereometry (Hossfeld), 329

Lunar motion and influence, 163 , 171 , 213 -4

M

Machines, 106 -7, 292 .

See also Mechanics

Magnetism, 145

Maimieux, Joseph de, 121 , 122 -4

Malouin, Paul, 155

Malthus, Robert, 343

Malves, J.P. de Gua de, 101

Mannheim hours, 170

Manuel interprète de correspondance, ou Vocabulaires polyglottes alphabétiques et numériques en tableaux (Cambry), 125

Maps. See Cartography

Mariotte, Edmé, 295

Martini, Friedrich Heinrich, 68

Marx, Karl, 343

Maskelyne, Nevil, 187 , 188 -9

Matériaux primitifs , 105 -6

Mathematics:

criticism of mathematical method, 393 ;

desire for a universal, 29 ;

masculinity of, 210 -1, 242 , 284 ;

mathematical method, 1 , 3 , 28 , 37 , 85 , 109 , 385 ;

practical applications of, 381 -2;

required curriculum, 321 , 369 ;

responsible for progress, 376 , 378 , 380 .

See also Algebra; Calculus; Geometry; Systematic model; Wolffianism

Matthiae, Georg, 52

Maupertuis, Pierre Louis Moreau de, 180 , 181

Mauskopf, Seymour H., 89

Measurement, 7 , 249 ;

controversies over accuracy of, 188 -90, 194 -5;

increase in accuracy of, 6 , 156 -7, 170 -1, 181 -2;

rhetoric of accuracy, 195 -8, 199 .

See also Instrumentalism; Instruments

Measurement of arcs of meridian, 180 , 181 , 183 , 204 , 216 ;

establishing baselines, 200 -1, 224 , 233 ;

Ordnance Survey, 179 , 184 -5;

Paris-Greenwich triangulation, 186 -95, 216 -7;

peasants resisted, 232

Mécanique philosophique (Prony), 104

Méchain, Pierre François, 193 , 226 -7, 231 , 232

Mechanical communication, 20 , 125 -31, 139

Mechanical energy:

industries dependent on, 292 -3


405

Mechanics:

analytic, 18 , 105 -6;

mathematization of, 88

Medical nomenclature. See Nosology

Medical nosology (Sauvages), 98

Medicine:

effect of systematic model on, 88 , 96 -100;

public, 392 .

See also Nosology

Medullar layers, 274

Mémoires (Koelreuter), 287

Mercantilism, 8 , 351 -2, 355 , 358 , 361

Metallurgy, 247 , 251 .

See also Mineralogy; Mining

Metaphors, 70 -1, 394 n, 394 ;

language as mechanical, 134 ;

of minerals and plants, 88 -9, 284 ;

of seeds and salt crystals, 275 ;

of the statistical body, 346 n, 346

Metaphysics (Baumgarten), 38

Meteorological instruments:

barometers, 6 , 148 -9, 157 , 169 ;

development and precision of, 156 -7, 170 -1, 176 ;

lack of, 148 -9;

magnetic compass, 149 , 157 , 158 , 166

Meteorological networks:

9 -10, 146 -7, 158 -73;

the "weather watch," 147 , 149 , 150 , 151

Meteorological parallels, 150 , 151

Meteorology, 9 -10, 143 -5;

failures of, 174 -5;

hygrometry, 104 , 157 , 159 , 175 ;

perception of space and time in, 151 -2.

See also Climatology

Meter:

definitive, 231 -2, 234 , 237 ;

provisional, 227 , 229 , 231 , 234 , 237

Methode de nomenclature chimique , 94

Metric system:

acceptance and spread of, 211 , 227 , 238 -42;

conflict between familiar terms and system, 215 , 237 ;

field measurements pertaining to, 226 -33;

national and international standardization of, 222 , 233 , 234 -5;

politics of, 208 -9, 212 -5, 238 -9;

proposals for reform of weights and measures, 209 -10, 219 -24;

resistance to, 235 -8.

See also Measurement of arcs of meridian

Meyer, Friedrich Johann Lorez, 128

Microscope, 53

Military:

fostered standardization, 17 ;

institutional character of, 310 , 312 ;

Napoleon extended the Carte de Cassini, 204 ;

used and encouraged cartography, 201 -5.

Mineralogy:

approaches to classification of minerals, 89 -92, 93 ;

blowpipes, 255 -6;

and emergence of analytic quantification, 253 , 255 ;

existence of mineral species denied, 90 ;

influenced by systematic botany, 88 -92;

interaction with chemistry, 254 -6.

See also Metallurgy

Mining, 89 , 247 , 250 -1, 295 -300

Modest proposal (Swift), 343

Molecular physics, 4 , 5 , 23

Molécule intégrante (Haüy), 92

Monceau, Duhamel, 155

Monge, Gaspard, 102 -3

Montesquieu, Charles Louis de Secondat, 144

Moon, 163 , 171 , 213 -4

Morphogenesis, 268

Morphology, 69

Morveau, Guyton de, 94

Moser, Wilhelm Gottfried von, 320

Moser, Heinrich Christoph, 340

Muscle power, 292 , 306 -7;

attempts to measure output of, 307 -8, 309 -10

Musée d'Histoire Naturelle, 66

Museum naturalium academiae upsaliensis (Thunberg), 66

Museums, 65 , 66

Musschenbroek, Pieter van, 53

Mycology, 69

N

Napoleon, 14 , 204 , 214

Napoleonic wars, 20


406

National Assembly (French), 227 , 228 , 229 , 234

Natural history, 65 , 68 -9, 70 ;

epistemology of, 52 n, 175 ;

diversity and anomaly in, 267 -8, 272 -3;

based on notion of stability, 267

Natural resources, 3

Nature, 234 , 235 , 379 ;

Book of, 28 , 46 ;

irrational side of, 267 ;

plenitude of being, 53 , 54 -61, 62 -3;

reproductive intentions of, 273 , 282 ;

shift in metaphors concerning, 292 ;

uniformity of, 333 -4, 340 -1, 382 ;

void universe, 62

Nature mathematized (Shea), 386

Naudé, Gabriel, 52

Networks. See Meteorological networks

New instruments for the Royal Prussian forest-geometers and forest-assessors (Hartig), 331

Newtonian theory, 183 , 192 , 246 , 256 , 261

Newton, Isaac, 19 , 210 , 377

Nomenclature:

Grand nomenclateur , 123 ;

Petit nomenclateur , 122 -3.

See also Binomial nomenclature

Non-verbal technology, 305

Norberg, Johan Eric, 309 , 310 , 312

Normalbaum (standard tree), 15 , 329 , 332 , 340

Northmore, Thomas, 130

Nosographie philosophique: ou la méthode de l'analyse appliquée à la médicine (Pinel), 99

Nosology, 87 , 94 , 97 -100

Nova plantarum genera (Thunberg), 66

Numeracy-innumeracy, 211 , 240 , 242 , 375

Numeric tables, 103 -4, 211 , 249 , 329 ;

for constructing artificial languages, 122 -3, 135 ;

tabular statistics, 9 , 13 , 345 -6, 347 , 358 ;

in telegraphic codebooks, 129 -30

O

"Observations botanico-météorologiques" (Monceau), 155

Observation, 376 -7

Oettelt, Carl Christoph, 326 , 327 , 328

Office of Tables (Swedish), 358

Ouml;konomische Gesellschaft , 161

Olby, Robert, 269

On the science of method (Coleridge), 67 n

Optical telegraphs, 126 -30

Optics:

geometrical, 144 ;

mathematization of, 88

Optics (Newton): 31st Query to, 256

Optimization (hydrostatic), 296

Oratio de telluris habitabilis (Linnæus), 54

Ordinance of 1785, 15 -6

Ordnance Survey, 179 , 184 -5, 203

Ornithology, 70

Oxygen theory, 265

P

Palatine Society, 161 , 168 -9, 170

Pallas, Peter Simon, 282 , 287

Parameter variation, 296

Parental contributions (theories of), 275 , 277 , 282 -4

Paris Academy of Sciences, 11 , 180 , 216 , 388

Paris Greenwich triangulation, 186 -95, 216 -7

Paris baseline, 200 -1

Paris clinical school, 99

Parish priests, 358

Paris Observatory, 221

Pasigraphy. See Universal languages

Patent Law of 1791, 218

Pendulum, 219 -22, 224 , 225

Pendulum clock, 7

Petit nomenclateur , 122 -3


407

Petty, William, 343 , 348 -9

Pharmaceutical science, 107 -8, 249 -50;

training of apothecaries, 250

Philosophia botanica (Linnæus), 74 , 78

Philosophia practica universalis (Wolff), 32

Philosophia prima sive ontologia (Wolff), 32

Philosophical essay on the theory of probability (Laplace), 378 -9

Philosophical transactions , 163 , 173 , 187

Philosophie chimique (Fourcroy), 106

Philosophy (influence of). See Aristotelian tradition; Condillac

Philosophy (mathematization of). See Rationalism; Wolffianism

Phlogiston theory, 93 , 94 , 260 , 264 -5

Photometry, 144

Physicotheology, 35 , 36 , 41 -2, 54

Physics:

defined, 103 , 256 , 382 ;

experimental, 157 -8;

physical properties, 105 -6;

and the systematic model, 103 -5.

See also Chemical revolution

Physics reduced to systematic tables (Barruel), 103

Picard, Jean, 180

Pietism, 31 -2

Pinel, Philippe, 99 -100

"Pinte," 207

Plant reproduction, 268 , 275 ;

animalcule theory, 272 -3, 277 , 287 ;

Aristotelian doctrine, 277 ;

limited variability theory, 286 , 287 -8;

problem of plant sexuality, 269 -71;

theory of inconsistency of form, 282

Plants:

binomial nomenclature of, 21 , 74 , 79 , 80

Plenitude of being:

dilemma of, 53 , 63 ;

measurements of, 54 -61, 62 -3

Pneumatics, 143

Polestar observations, 190

Polhem, Christopher, 56 , 294 , 295 , 296 -7, 298 ;

background of, 300

Political arithmetic, 10 -11, 14 , 349 , 350 , 359 -60.

See also Statistics

Political economy:

cartography, surveys, and government, 201 ;

conservative influence of institutions, 218 ;

democracy and the decimal, 213 ;

internationalism, 222 ;

locus for the quantifying spirit, 22 -3, 392 .

See also French Revolution; Political arithmetic; Statistics

Politics:

of the metric system, 208 -9, 212 -5, 219 -24, 238 -9;

of the Paris baseline, 200 -1

Politisk arithmetica (Berch), 356

Pollination (of hybrids), 278 -9

Polygraphie , 125

Population, 351 -2, 354 .

See also Statistics

Porter, Roy, 382

Pott, Johann Heinrich, 249 , 257 -8

Practicality, 3 ;

applications of statistics, 350 , 355 -7, 379 -80.

See also Instrumentalism

Practical proof that mathematics serves indispensable services for forestry (Oettelt), 327

Praecepta grammatica atque specimina linguae philosophicae sive universalis, ad omnevitae genus adcommodatae (Kalmár), 120

Preformation theory, 287

Price, Richard, 350

Priestly, Joseph, 64 , 258

Prieur de la Côte d'Or, Comte Claude Antoine, 212 , 219 , 229 , 231

Principia mathematica (Newton), 19 , 183 , 377

Principles of forest-economy (Moser), 320

Probability, 385 , 386

Prony, Gaspard, 105 -6


408

Proportions:

doctrine of, 356

Prostitutes' rates, 214

Proust, Joseph Louis, 255

Provisional meter, 227 , 229 , 231 , 234 , 237

Prytologia oder Kiess-Historie (Henkkel), 257

Psychologia empirica (Wolffe), 32

Psychologia rationalis (Wolffe), 32

Public health, 154

Pyrometer, 199

Q

Quantifying, 45 , 384 ;

in analysis of population, 354 ;

analytic, 249 , 250 , 252 , 253 -4, 259 ;

in chemistry, 265 -6;

"neutrality" of valued by social science, 343 ;

synthetic, 116 -7, 249 , 250 .

See also Calculus; Deductive method; Mathematics; Systematic model

"Quantification of power," 382

R

Ramsden, Jesse, 157 , 192 , 197 -8, 199 , 217 ;

achievements of, 196 .

See also Theodolites

Rationalism, 30 , 120 , 348 ;

as a function of language, 117 , 133 -4;

movement of, 86 -8;

reaction against in Sweden, 40 -1, 42 .

See also Wolffianism

Rationality. See Reason

Ratio praelectionum Wolfianarum in mathesin et philosophiam universam (Wolff), 31

Ray, John, 53

Reason:

deductive method of, 33 -4, 293 -7, 377 -8;

inductive method of, 293 , 297 , 377 ;

"naturalization" and mathematization of, 28

Réaumur, René-Antoine Ferchault de, 61

Recherches (Deluc), 160

Reciprocal crosses:

identity of, 277

Religion, 376

Repeating circle, 193 , 194 -5, 200 , 217 ;

accuracy of, 224 -5

Reproduction. See Plant reproduction

Resmilor , 302 -3

Reynolds, Terry, 293

Rhetoric, 237 ;

of accuracy, 195 -8, 199 , 234 ;

Enlightenment "buzz words," 209 ;

of numbers, 2 , 259 -60;

revolutionary, 229

Rondelet, Jean-Baptiste, 239

Royal Society of London, 146 , 173 ;

collected meteorological reports, 9 -10, 161 -2;

dissension within, 185 -6

Royal Swedish Academy of Sciences, 43 , 299

Roy, William, 179 , 184 -6, 187 , 191 -2;

rhetorical resources of, 195 -6, 198 ;

rift with Ramsden, 197 -8;

role in Paris-Greenwich triangulation, 186 , 188 -90

Runeburg, E.O., 353 -5

S

Sachs, Julius von, 77

Sauvages, François Boissier de, 97 -98

Scheele, Carl Wilhelm, 250

Schofield, Robert E., 313

Schröter, Johan Samuel, 58

Scientific academies and societies:

role of, 387 .

See also by individual name

Scientific Society of Copenhagen, 183

Semaphore, 130

Seven Years' War, 318

Shea, William R., 386

Signs, 132 .

See also Language

Singer, Charles, 246

Smith, Adam, 343 , 382

Smith, Sir James Edward, 65

Societas meteorologica palatina, 161 , 168 -69, 170

Société royale d'agriculture, 160

Société royale d'médecine (Society of Medicine), 164 -73


409

Space:

characterlessness of, 151 -2;

changing perceptions of, 167 , 172 , 177

Späth, Johann Leonhard, 340

Species:

constancy of from the beginning, 54 , 55 -6, 62 , 272 -3;

existence of mineral species denied, 90 ;

number of estimated, 53 , 54 -6;

transformation of, 283 , 284

Species planatarum (Linnæus), 74

Sprengel, Christian, 287

Staatenkunde , 343 -7

Stahl, Ernst, 256 -7

Stahl, J.F., 319

Standard Model (of molecular physics), 4 , 5 , 23

Standard tree, 15 , 329 , 332 , 340

Stars:

aberration of, 7

States:

comparison of, 344

Statistics:

application of, 350 , 355 -7, 379 -80;

collection of vital statistics, 349 -50, 358 ;

demographic, 11 -4, 23 , 392 ;

derivation and emergence of (Staatenkunde ), 3 , 344 -5, 344 n, 346 -7, 349 , 357 ;

descriptive, 357 -60;

emigration measured, 359 ;

as political arithmetic, 10 -11, 14 , 349 , 350 , 358 -60;

tabular, 9 , 13 , 345 -6;

Utopian, 348 , 353 -5.

See also Census; Population

Stearn, W.T., 76 -7

Steiglehner, Coelestin, 172

Stereometry, 322 , 329

Sufficient reason (principle of), 33

Surveys. See Census; Land Surveys, Statistics

Svendenstierna, Eric Thomas, 295

Sweden, 352

Swedish Ironmasters' Association (Jernkontoret ), 19 , 294 -5, 299 -300

Swift, Jonathan:

satire on mathematics, 343 , 395 -6

Sydenham, Thomas, 97

Synonyms, 122

Syntax, 114

Systema naturae (Linnæus), 46 , 55 , 64 , 74 , 77 ;

scheme for mineral "kingdom" included in the, 88 -9

Systematic instruction for the assessment of woods (Cotta), 330

Systematic model, 83 -5, 86 , 108 ;

in anatomy, 107 ;

associated with mathematics, 11 , 109 ;

in botany, 52 , 70 , 73 , 108 , 110 ;

in chemistry, 93 -6;

decline of, 110 ;

defined, 45 , 46 , 73 ;

in medicine and nosology, 88 , 98 -9, 107 -8;

philosophical-linguistic basis, 93 -4, 99 , 109 ;

in physics, 103 -5;

in study of hybrids, 269

Systematics. See Systematic model

T

Tabellverket , 13

Tables. See Numeric tables

Tabular affinitatum animalium (Hermann), 63

Tabular statistics, 9 , 13 , 345 -6, 347 , 349 , 358 -9

Talleyrand, 219 , 233 -4

Tavern staff, 359

Taxonomy, 63

Technology, 299 , 306 , 311 , 314 ;

copied social organization of science, 312 -3;

non-verbal, 305 ;

quantification of, 291 -2, 308 , 310 -2

Telegraphische Chiffren-Tabelle , 129

Telegraphs, 20 , 125 -31, 139

Teleology, 35 -6, 38

Telescopes, 6 , 370

The Lunar Society of Birmingham (Schofield), 313

Theodolites, 6 , 200 ;

accuracy in design of, 192 , 194 -5, 217

Theologia naturalis (Wolff), 32 , 36 -7

Theologia polemica , 42


410

Thermomenters, 6 , 149 , 157 , 158 , 166

Thiébault, Diedonné, 132 -3

Three-dimensional geometry, 102 -3

Thümmig, Ludwig Philipp, 37

Thunberg, Karl Peter, 66

Tibell, Gustaf Wilhelm, 204

Timber:

consumption and depletion of, 301 , 302 ;

methods of stacking, 303 -4

Time, 152 , 172 , 338

Toise, 212 , 236 , 237 , 238

Tooke, John Horne, 113

Townships:

divisions into, 16

Toynbee, Arnold, 22

Tracy, Destutt de, 133

Trade, 8 , 352 , 356

Traité analytique des probabilité (Laplace), 364

Treadwheels, 306 , 308

Treatise on the classes of diseases (Sauvages), 97

Trees. See Forests; Normalbaum

Triangulation. See Measurements of arc of meridian; Paris-Greenwich triangulation

Trigonometry, 101 -2, 102 n, 175 , 213

Truth, 4 , 199 , 210

Turgot, Anne-Robert-Jacques, 133

U

Uhr, Carl David af, 302

Ullén, Petrus, 41 -2

Uncertainty, 378

Universal languages, 19 -20, 120 -5, 130 , 132 -3;

evaluation of proposals for, 137 -9

Untersuching über die Deutlichkeit der Gründsätze der natürlichen Theologie und der Moral (Kant), 43

Utopia, 212

V

Verbascum , 285 -6

Vernünfftige Gedancken von der Absichten der natürlichen Dinge (Wolff), 36

Vernünfftige Gedancken von der Menschen Thun und Lassen: zu Beförderung ihrer Glückseligkeit (Wolff), 35

Vierenklee, Johann, 326 , 328

Vital statistics, 249 -50, 357

Volta, Alessandro, 8 -9

Voltaire, 42

Vorläufige Nachricht (Koelreuter), 274

W

Wallerius, Erik, Nils, and Johann Gottschalk, 39

Wallerius, Nils, 42

Water mills, 293

Water power, 293 , 295

Waterwheels, 293 -4

Watt, Fran, 18

Weather:

lunar influence on, 163 , 171 , 213 -4;

See also Climatology; Meteorology

"Weather watch," 147 , 149 , 150 , 151

Weights and measures, 207 -8, 211 , 212 , 298 ;

aune, 207 -8.

See also Metric system

Welt-Weissheit, 34

Werner, Abraham, 89 -90

Wisdom of God manifested in the works of creation, The (Ray), 53

Wolff, Christian:

character and life of, 29 -30, 31 -3;

role in propagating mathematical method, 1 , 28 , 30 , 37 -8;

theology of, 35 -7

Wolffianism, 29 , 33 -5, 48 ;

champion of, 37 -8, 40 , 41 -2;

debated in Sweden, 39 -43;

influence of receded, 44 ;

mathematical method of, 33 -5, 37 , 44


411

Women, measuring emotions of, 386 n, 386 ;

prostitutes' rates, 214 ;

value of, 354

Woodlands. See Forests; Timber

Wood. See Timber

X

Xylometry, 322

Z

Zanthier, H.D. van, 319

Zedler, Johann Heinrich, 20 , 47

Zeno's paradox, 63

Zimmermann, Eberhard, 58 -60


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