ABACUS, logical, 104; arithmetical,
107; Panchrestus, 182. Aberration of light, 561; syste- matic, 547.
Abscissio infiniti, 79, 713.
Abstract terms, 27; number, 159. Abstraction, 704; logical, 25; nu- merical, 158; of indifferent cir- cumstances, 97.
Accademia del Cimento, 427, 432, 436, 527.
Accident, logical, 700.
Accidental discovery, 529. Achromatic lenses, 432.
Actinometer, 337.
Adamantine medium, 605, 751. Adjectives, 14, 30, 31, 35; inde- terminate, 41.
Adrain, of New Brunswick, 375. Affirmation, 44.
Agassiz, on genera, 726; on crea- tion of species, 763. Agreement, 44.
Airy, Sir George Biddell, on per- petual motion, 223; new property of sphere, 232; pendulum experi- ments, 291, 304, 348, 567; stan- dard clock, 353; book on Errors of Observation, 395; tides, 488; extrapolation, 495; Thales' eclipse, 537; interference of light, 539; density of earth, 291. Alchemists, 505; how misled, 428. Algebra, 123, 155, 164; Diophan- tine, 631.
Algebraic, equations, 123; geo- metry, 633. Allotropic state, 663, 670.
Alloys, possible number, 191; pro- perties, 528.
Alphabet, the Logical, 93, 104, 125 ; Morse, 193.
Alphabet, permutations of letters of the, 174, 179.
Alphabetic indexes, 714.
Alternative relations, 67; exclusive and unexclusive, 205. Ampère, electricity, 547; classifi- cation, 679. Anagrams, 128.
Analogy, 627; of logical and nume- rical terms, 160; and generali- sation, 596; in mathematical sciences, 631; in theory of undu- lations, 635; in astronomy, 638; failure of, 641.
Analysis, logical, 122.
Andrews, Prof. Thomas, experiments on gaseous state, 71, 613, 665, 753.
Angström, on spectrum, 424. Angular magnitude, 305, 306, 326. Antecedent defined, 225. Anticipation of Nature, 509. Anticipations, of Principle of Sub- stitution, 21; of electric tele- graph, 671.
Apparent, equality, 275; sequence of events, 409.
Approximation, theory of, 456; to exact laws, 462; mathematical principles of, 471; arithmetic ci, 481.
Aqueous vapour, 500.
Aquinas, on disjunctive proposi- tions, 69.
Arago, photometer, 288; rotating disc, 535; his philosophic cha- racter, 592.
Archimedes, De Arena Numero, 195; centre of gravity, 363. Arcual unit, 306, 330. Argyll, Duke of, 741.
Aristarchus on sun's and moon's distances, 294.
Aristotelian doctrines, 666. Aristotle, dietum, 21; singular terms, 39: overlooked simple identities, 40; order of premises, 114; logical error, 117; defini- tion of time, 307; on science, 595; on white swans, 666. Arithmetic, reasoning in, 167; of approximate quantities, 481. Arithmetical triangle, 93, 143, 182, 202, 378, 383; diagram of, 184; connection with Logical Alphabet, 189; in probability,
from, 188; etymology of, 363. Axes of crystals, 686. Axioms of algebra, 164.
BABBAGE, Charles, calculating machine, 107, 231, 743; light- house signals, 194; natural con- stants, 329; Mosaic history, 412; universal and general truths, 646; change of law, 230; persistence of effects, 757. Bacon, Francis Lord, Novum Orga- num, 107; on induction, 121; biliteral cipher, 193; First Aphorism, 219; on causes, 221; Copernican system, 249, 638; deficient powers of senses, 278; observation, 402; Natural His- tory, 403; use of hypothesis, 506; his method, 507; caperi- mentum crucis, 519; error of his method, 576; ostensive, clandestine instances, &c., 608, 610; latens precessus, 619.
Ballot-box, simile of, 150, 251-6, 765.
Barbara, 55, 57, 88, 105, 141. Baroko, 85.
Barometer, 659; Gay Lussac's standard, 346; variations, 337, 346, 349.
Bartholinus on double refraction, 585.
Base-line, measurement of, 304. Bauhusius, verses of, 175. Baxendell, Joseph, 552. Beneke, on substitution, 21. Bennet, momentum of light, 435. Bentham, George, 15; bifurcate classification, 695; infima species, 702; works on classification, 703; analytical key to flora, 712. Bentham, Jeremy, on analogy, 629; bifurcate classification, 703. Benzenberg's experiment, 388. Bernoulli, Daniel, planetary orbits,
250; resisting media and pro- jectiles, 467; vibrations, 476. Bernoulli, James, 154; numbers of, 124; Protean verses, 175; De Arte Conjectandi quoted, 176; 183; on figurate numbers, 183; theorem of, 209; false solution in probability, 213; solution of inverse problem, 261.
Bessel, F. W., 375; law of error,
384; formula for periodic varia- tions, 488; use of hypothesis, 506; solar parallax, 560-2; ellip ticity of earth, 565; pendulum experiments, 604. Bias, 393, 402. Biela's comet, 746. Bifurcate classification, 694.
Binomial theorem, 190; discovery of, 231.
Biot, on tension of vapour, 500. Blind experiments, 433. Bode's law, 147, 257, 660. Boethius, quoted, 33; on kinds of mean, 360.
Boiling point, 442, 659.
Bonnet's theory of reproduction, 621. Boole, George, on sign of equality,
15; his calculus of logic, 23, 113, 634; on logical terms, 33; law of commutativeness, 35; use of some, 41-2 disjunctive proposi- tions, 70; Venn on his method, 90; Laws of Thought, 155; statistical conditions, 168; pro- positions numerically definite, 172; on probability, 199; general method in probabilities, 206; Laplace's solution of inverse problem, 256; law of error, 377. Borda, his repeating circle, 290. Boscovich's hypothesis, 512. Botany, 666, 678, 681; modes of classification, 678; systematic, 722; nomenclature of, 727. Bowen, Prof. Francis, on inference, 118; classification, 674. Boyle's, Robert, law of gaseous pressure, 468, 470, 619; hypothesis, 510; barometer, 659. Bradley, his observations, 384; accuracy of, 271; aberration of light, 535.
Bravais, on law of error, 375. Brewer, W. H., 142. Brewster, Sir David, iridescent
colours, 419; spectrum, 429; Newton's theory of colours, 518; refractive indices, 10, 527; optic axes, 446.
British Museum, catalogue of, 717. Brodie, Sir B. C., on errors of experiment, 388, 464; ozone, 663.
Brown, Thomas, on cause, 224. Buckle, Thomas, on constancy of average, 656; science of history, 760. Buffon, on probability, 215; defini- tion of genius, 576. Bunsen, Robert, spectrum, 244; photometrical researches, 273, 324, 441; calorimeter, 343. Butler, Bishop, on probability, 197
Carnot's law, 606. Carpenter, Dr. W. B., 412. Catalogues, art of making, 714. Cauchy, undulatory theory, 468. Cause, 220; definition of, 224. Cavendish's experiment, 272, 566. Cayley, Professor, 145; on mathe- matical tables, 331; numbers of chemical compounds, 544. Celarent, 55.
Centre of gravity, 363, 524; of oscillation, gyration, &c., 364. Centrobaric bodies, 364.
Certainty, 235, 266.
Cesare, 85.
Chalmers, on collocations, 740. Chance, 198.
Character, human, 733. Characteristics, 708.
Chauvenet, Professor W., on treat- ment of observations, 391. Chemical affinity, 614; analysis, 713.
Chloroform, discovery of, 531. Chronoscope, 616.
Cipher, 32; Bacon's, 193. Circle, circumference of, 389. Circumstances, indifferent, 419. Circumstantial evidence, 264. Clairaut, 650, 651; on gravity, 463.
Classes, 25; problem of common part of three, 170. Classification, 673; involving in- duction, 675; multiplicity of modes, 677; natural and arti- ficial systems, 679; in crystal- lography, 685; symbolic state- ment of, 692; bifurcate, 694; an inverse and tentative operation, 689; diagnostic, 710; by indexes, 714; of books, 715; in biological sciences, 718; genealogical, 719; by types, 722; limits of, 730. Clifford, Professor, on types of
compound statements, 143, 529; first and last catastrophe, 744; mathematical function, 768. Clocks, astronomical, 340, 353. Clouds, 447; cirrous, 411. Coincidences, 128; fortuitous, 261; measurement by, 292; method of, 291.
Collective terms, 29, 39. Collocations of matter, 740. Colours, iridescent, 419; natural, 518; perception of, 437; of spec- trum, 584.
Combinations, 135, 142; doctrine of, 173; of letters of alphabet, 174; calculations of, 180; higher orders of, 194.
Combinatorial analysis, 176. Comets, 449; number of, 408; hyperbolic, 407; classification of, 684; conflict with, 746-7; Halley's comet, 537; Lexell's comet, 651.
Commutativeness, law of, 35, 72,
Comparative use of instruments, 299.
Compass, variations of, 281. Complementary statements, 144. Compossible alternatives, 69. Compound statements, 144; events, 204.
Compounds, chemical, 192. Comte, Auguste, on probability, 200, 214; on prevision, 536; his positive philosophy, 752, 760, 768.
Concrete number, 159.
Conditions, of logical symbols, 32;
removal of usual, 426; inter- ference of unsuspected, 428; maintenance of similar, 443; approximation to natural, 465. Condorcet, 2; his problem, 253. Confusion of elements, 237. Conical refraction, 653. Conjunction of planets, 293, 657.
Consequent, definition of, 225. Conservation of energy, 738. Constant numbers of nature, 328; mathematical, 330; physical, 331; astronomical, 332; terres- trial, 333; organic, 333; social, 334.
Continuity, law of, 615, 729; sense
of, 493; detection of, 610: failure of, 619.
Continuous quantity, 274, 485. Contradiction, law of, 31, 74. Contrapositive, proposition,
136; conversion, 83.
Conversion of propositions, 46, 118. Copernican theory, 522, 625, 638, 647. Copula, 16.
Cornu, velocity of light, 561. Corpuscular theory, 520, 538, 667. Correction, method of, 346. Correlation, 678, 681.
Cotes, Roger, use of mean, 359; method of least squares, 377. Coulomb, 272.
Couple, mechanical, 653. Creation, problem of, 740. Crookes' radiometer, 435. Cross divisions, 144. Crystallography, 648, 654, 658, 678, 754; systems of, 133; clas- sification in, 685.
Crystals, 602; Dana's classification of, 711; pseudomorphic, 658. Curves, use of, 392, 491, 496; of various degrees, 473.
Cuvier, on experiment, 423: on inferences, 682.
D'ALEMBERT, blunders in proba- bility, 213, 214; on gravity, 463. Dalton, laws of, 464, 471; atomic theory, 662. Darapti, 59. Darii, 56.
Darwin, Charles, his works, 131; negative results of observation, 413; arguments against his theory, 437; cultivated plants, 531; his influence, 575; classification, 718; constancy of character in classifi cation, 720-1; on definition, 726; restoration of limbs, 730; ten- dency of his theory, 762, 764. Davy, Sir H., on new instruments, 270; nature of heat, 343, 417; detection of salt in electrolysis,
Day, sidereal, 310; length of, 289. Decandolle, on classification, 696,
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