Melvill, Thomas, on the spectrum,
429.
Membra dividentia, 68.
Metals, probable character of new,
258; transparency, 548; classi-
fication, 675; density, 706.
Method, indirect, 98; of avoidance
of error, 340; differential, 344;
correction, 346; compensation,
350; reversal, 354; means, 357;
least squares, 377, 386, 393;
variations, 139; graphical, 492;
Baconian, 507.
Meteoric streams, 372.
Meteoric cycle, 537.
Metre, 349; error of, 314.
Metric system, 318, 323.
Michell,
speculations, 212;
double stars, 247; Pleiades, 248;
torsion balance, 566.
Middle terin undistributed, 64.
Mill, John Stuart, disjunctive pro-
positions, 69; induction, 121,
594; music, 191; probability,
200-201, 222; supposed reform
of logic, 227; deductive method,
265, 508; elimination of chance,
385; joint method of agreement
and difference, 425; method of
variations, 484; on collocations,
740; erroneous tendency of his
philosophy, 752.
Miller, Prof. W. H., kilogram, 318.
Mind, powers of, 4; phenomena
of, 672.
Minerals, classification of, 678.
Minor term, illicit process of, 65.
Mistakes, 7.
Modus, tolendo ponens, 77: ponendo
toliens, 78.
Molecular movement, or pedesis,
406.
Molecules, number of, 195.
Momentum, 322, 326.
Monro, C. J., correction by, 172;
on Comte, 753.
Monstrous productions, 657.
Moon, supposed influence on clouds,
410; atmosphere of, 434; mo-
tions, 485; fall towards earth,
555.
Morse alphabet, 193.
Mother of pearl, 419.
Müller, Max, on etymology of intel-
lect, 5.
Multiplication in logie, 161.
Murphy, J. J., on disjunctive
relation, 71.
Murray, introduced use of ice, 343.
Muscular susurrus, 298.
Music, possible combinations of,
191.
NAMES, 25; of persons, ships, &c.,
680.
Nature, 1; laws of, 737; uniform-
ity of, 745.
Nebular theory, 427.
Negation, 44.
Negative arguments, 621.
Negative density, 642.
Negative premises, 63, 103.
Negative propositions, 43.
Negative results of experiment, 434.
Negative terms, 14, 45, 54, 74.
Neil on use of hypothesis, 509.
Neptune, discovery of, 537, 660.
Newton, Sir Isaac, binomial theo-
rem, 231; spectrum, 262, 418,
420, 424, 583; rings of, 288,
470; velocity of sound, 295;
wave-lengths, 297; use of pen-
dulum, 303; on time, 308;
definition of matter, 316; pen-
dulum experiment, 348, 443,
604; centrobaric bodies, 365; on
weight, 422; achromatic lenses,
432; resistance of space, 435;
absorption of light, 445; pla-
netary motions, 249, 457, 463,
466, 467; infinitesimal calculus,
477; as an alchemist, 505; his
knowledge of Bacon's works, 507;
hypotheses non fingo, 515; on vor-
tices, 517; theory of colours,
518; corpuscular theory of light,
520; fits of easy reflection, &c.,
523;
combustible substances,
527; gravity, 555, 650; density of
earth, 566; velocity of sound,
571; third law of motion, 622
his rules of philosophising, 625;
fluxions, 633; theory of sound,
636; negative density, 642;
rays of light having sides, 662.
Newtonian Method, 581.
Nicholson, discovery of electrolysis,
530.
Ninth Bridgewater Treatise quoted,
743, 757.
Nipher, Professor, on muscular
exertion, 490.
π, value of, 234, 529.
Pack of cards, arrangement of, 241.
Paley on design, 762, 763.
Parallax, of stars, 344; of sun,
560.
Parallel forces, 652.
Paralogism, 62.
Parity of reasoning, 268.
Partial identities, 40, 55, 57, 111;
induction of, 130.
Particular quantity, 56.
Particulars, reasoning from, 227.
Partition, 29.
Pascal, 176; arithmetical machine,
107; arithmetical triangle, 182;
binomial formula, 182; error in
probabilities, 213; barometer,
519.
Passive state of steel, 659.
Pedesis, or molecular movement
of microscopic particles, 406,
612.
Peirce, Professor, 23; on rejection
of observations, 391.
Pendulum, 290, 302, 315; faults
of, 311; vibrations, 453, 454;
cycloidal, 461.
Perfect induction, 146, 149.
Perigon, 306.
Permutations, 173, 178; distinction
from combinations, 177.
Personal error, 347.
Photometry, 288.
Physiology, exceptions in, 666.
Planets, conjunctions of, 181, 187,
657; discovery of, 412; motions,
457; perturbations of, 657;
classification, 683; system of,
748.
Plants, classification of, 678.
Plateau's experiments, 427.
Plato on science, 595.
Plattes, Gabriel, 434, 438.
Pliny on tides, 451.
Plumb-line, divergence of, 461.
Plurality, 29, 156.
Poinsot, on probability, 214.
Poisson, on principle of the in-
verse method, 244; work on
Probability, 395; Newton's rings,
470; simile of ballot box, 524.
Polarisation, 653; discovery of,
530.
Pole-star, 652; observations of, 366.
Poles, of magnets, 365; of battery,
421.
Political economy, 760.
Porphyry, on the Predicables, 698;
tree of, 702.
Port Royal logic, 22.
Positive philosophy, 760, 768.
Pouillet's pyrheliometer, 337.
Powell, Baden, 623; on planetary
motions, 660.
Power, definition of, 224.
Predicables, 698.
Prediction, 536, 739; in science of
light, 538; theory of undulations,
540; other sciences, 542; by
inversion of cause and effect, 545.
Premises, order of, 114.
Prime numbers, 123, 139; formula
for, 230.
Principia, Newton's. 581, 583.
Principle, of probability, 200; in-
verse method, 242; forced vibra-
tions, 451; approximation, 471;
co-existence of small vibrations,
476; superposition of small
effects, 476.
Probable error, 555.
Probability, etymology of, 197;
theory of, 197; principles, 200
calculations, 203; difficulties of
theory, 213; application of theory,
215; in induction, 219; in judi-
cial proceedings, 216; works on,
394; results of law, 656.
Problems, to be worked by reader,
126; inverse problem of two
classes, 135; of three classes, 137.
Proclus, commentaries of, 232.
Proctor, R.A., star-drifts, 248.
Projectiles, theory of, 466.
Proper names, 27.
Properties, generality of, 600;
uniform, 603; extreme instances,
607; correlation, 681.
Property, logical, 699; peculiar, 699.
Proportion, simple, 501.
Propositions, 36; negative, 43;
conversion of, 46; twofold mean-
ing, 47; disjunctive, 66; equi-
valence of, 115; identical, 119;
tautologous, 119.
Protean verses, 175.
Protoplasm, 524, 764.
Prout's law, 263, 464.
Provisional units, 323.
Proximate statements, 144.
Pyramidal numbers, 185.
Pythagoras, on duality, 95; on the
number seven, 262, 624.
QUADRIC variation, 474.
Qualitative, reasoning, 48; proposi-
tions, 119.
Quantification of predicate, 41.
Quantitative, reasoning, 48; pro-
positions, 119; questions, 278;
induction, 483.
Quantities, continuous, 274; in-
commensurable, 275.
Quaternions, 160, 634.
Quetelet, 188; experiment on pro-
bability, 208; on mean and
average, 363; law of error, 378,
380; verification of law of error,
385.
RADIAN, 306.
Radiant matter, 642.
Radiation of heat, 430.
Radiometer, 435.
Rainbow, theory of, 526, 533.
Rainfall, variation of, 430.
Ramean tree, 703, 704.
Ramsden's balance, 304.
Rankine, on specific heat of air,
557; reconcentration of energy,
751.
Rational formulæ, 489.
Rayleigh,
method, 495.
Reasoning, arithmetical, 167; nu-
merically definite, 168; geome-
trical, 458.
Recorde, Robert, 15.
Reduction, of syllogisms, 85; ad
absurdum, 415; of observations,
552, 572.
Reflection, total, 650.
Refraction, atmospheric, 340, 356,
500; law of, 501; conical, 540;
double, 585.
Regnault, dilatation of mercury,
342; measurement of heat, 350;
exact experiment, 397; on Boyle's
law, 468, 471; latent heat of
steam, 487; graphical method,
494; specific heat of air, 557.
Reid, on bifurcate classification, 697.
Reign of law, 741, 759.
Rejection of observations, 390.
Relation, sign of, 17; logic of, 22;
logical, 35; axiom of, 164.
Repetition, method of, 287, 288.
Representative hypotheses, 524.
Reproduction, modes of, 730.
Reservation of judgment, 592.
Residual effects, 558; phenomena,
560, 569.
Resisting medium, 310, 523, 570.
Resonance, 453.
Reusch, on substitution, 21.
Reversal, method of, 354.
Revolution, quantity of, 306.
Robertson, Prof. Croom, 27, 101.
Robison, electric curves, 446.
Rock-salt, 609.
Roemer, divided circle, 355; velocity
of light, 535.
Roscoe, Prof., photometrical re-
searches, 273; solubility of salts,
280; constant flame, 441; ab-
sorption of gases, 499; vanadium,
528; atomic weight of vanadium,
392, 649.
Rousseau on geometry, 233.
Rules, of inference, 9, 17; indirect
method of inference, 89; for
calculation of combinations, 180;
of probabilities, 203; of inverse
method, 257; for elimination of
error, 353.
Rumford, Count, experiments on
heat, 343, 350, 467.
Ruminants, Cuvier on, 683.
Russell, Scott, on sound, 541.
SAMPLE, use of, 9.
Sandeman, on perigon, 306; ap-
proximate arithmetic, 481.
Saturn, motions of satellites, 293;
rings, 293.
Schiehallien, attraction of, 369, 566.
Schottus, on combinations, 179.
Schwabe, on sun-spots, 452.
Science, nature of, 1, 673.
Selenium, 663, 670.
Self-contradiction, 32.
Senior's definition of wealth, 75.
Senses, fallacious indications of,
276.
Seven, coincidences of number, 262;
fallacies of, 624.
Sextus, fatality of name. 264.
Sieve of Eratosthenes, 82, 123, 139.
Similars, substitution of, 17.
Simple identity, 37, 111; inference
of, 58; contrapositive, 86; in-
duction of, 127.
Simple statement, 143.
Simplicity, law of, 33, 58, 72.
Simpson, discovery of property of
chloroform, 531.
Simultaneity of knowledge, 34.
Singular names 27; terms, 129.
Siren, 10, 298, 421.
Slate, the logical, 95.
Smeaton's experiments, on water-
wheels, 347; windmills, 401,
441.
Smee, Alfred, logical machines, 107.
Smell, delicacy of, 437.
Smithsonian Institution, 329.
Smyth, Prof. Piazzi, 452.
Socrates, on the sun, 611.
Solids, 602.
Solubility of salts, 279.
Some, the adjective, 41, 56.
Sorites, 60.
Sound, observations on, 356; un-
dulations, 405, 421; velocity of,
571; classification of sounds,
732
Space, relations of, 220.
Species, 698; infima, 701; natural,
724.
Specific gravities, 301; heat of air,
557.
Spence, on boiling point, 546.
Spencer, Herbert, nature of logic,
4, 7; sign of equality, 15;
rhythmical motion, 448; abstrac-
tion, 705; philosophy of, 713,
761, 762.
Spectroscope, 437.
Spectrum, 583.
Spiritualism, 671.
Spontaneous generation, 432.
Standards of measurement, 305;
the bar, 312; terrestrial, 314;
pendulum, 315; provisional, 318;
natural system, 319.
Stars, dises of, 277; motions of,
280, 474; variations of, 281;
approach or recess, 298; standard
stars, 301; apparent diameter,
390; variable, 450; proper mo-
tions, 572; Bruno on, 639; new,
644; pole-star, 652; conflict with
wandering stars, 748.
Stas, M., his balance, 304; on
atomic weights, 464.
Statements, kinds of, 144.
Statistical conditions, 168.
Stevinus, on inclined plane, 622.
Stewart, Professor Balfour, on re-
sisting medium, 570; theory of
exchanges, 571.
Stifels, arithmetical triangle, 182.
Stokes, Professor, on resistance,
475; fluorescence, 664.
Stone, E. J., heat of the stars, 370;
temperature of earth's surface,
452; transit of Venus, 562.
Struve on double stars, 247.
Substantial terms, 28.
Substitution of similars, 17, 45,
49, 104, 106; anticipations of,
21.
Substitutive weighing, 345.
Sui generis, 629, 728.
Sulphur, 670.
Summum genus, 93, 701.
Sun, distance, 560; variations of
spots, 452.
Superposition, of small effects, 450;
small motions, 476.
Swan, W., on sodium light, 430.
Syllogism, 140; moods of, 55, 84,
85, 88, 105, 141; numerically
definite, 168.
Symbols, use of, 13, 31, 32; of
quantity, 33.
Synthesis, 122; of terms, 30.
TABLE-TURNING, 671.
Tacit knowledge, 43.
Tacquet on combinations, 179.
Tait, P. G., 375; theory of comets,
571.
Talbot on the spectrum, 429.
Tartaglia on projectiles, 466.
Tastes, classification of, 732.
Tautologous propositions, 119.
Teeth, use in classification, 710.
Temperature, variations of, 453.
Tension of aqueous vapour, 500.
Terms, 24; abstract, 27; sub-
stantial, 28; collective, 29; syn-
thesis of, 30; negative, 45.
Terrot, Bishop, on probability, 212.
Test experiments, 347, 433.
Tetractys, 95.
Thales, predicted eclipse, 537.
Theory, results of, 534; facts known
by, 547; quantitative, 551; of
exchanges, 571; freedom of form-
ing, 577; of evolution, 761.
Thermometer, differential, 345 ;
reading of, 390; change of zero,
390.
Thomas, arithmetical machine, 107.
Thomson, Archbishop, 50, 61.
Thomson, James, prediction by,
542; on gaseous state, 654.
Thomson, Sir W., lighthouse sig-
nals, 194; size of atoms, 195;
tides, 450; capillary attraction,
614; magnetism, 665; dissipa-
tion of energy, 744.
Thomson and Tait, chronometry,
311; standards of length, 315;
the crowbar, 460; polarised light,
653.
Thomson, Sir Wyville, 412.
Thunder-cloud, 612.
Tides, 366, 450, 476, 541; velocity
of, 298; gauge, 368; atmospheric,
367, 553.
Time, 220; definition of, 307.
Todhunter, Isaac, History of the
Theory of Probability, 256, 375,
395; on insoluble problems, 757.
Tooke, Horne, on cause, 226.
Torricelli, cycloid, 235; his theo-
rem, 605; on barometer, 666.
Torsion balance, 272, 287.
Transit of Venus, 294, 348, 562.
Transit-circle, 355.
Tree of Porphyry, 702; of Ramus,
703.
Triangle, arithmetical, 93, 182.
Triangular numbers, 185.
Trigonometrical survey, 301; cal-
culations of, 756.
Trisection of angles, 414.
Tuning-fork, 541.
Tycho Brahe, 271; on star discs,
277; obliquity of earth's axis,
289; circumpolar stars, 366;
Sirius, 390.
Tyndall, Professor, on natural con-
stants, 328; magnetism of gases,
352; precaution in experiments,
431; use of imagination, 509;
on Faraday, 547; magnetism,
549, 607; scope for discovery,
753.
Types, of logical conditions, 140,
144; of statements, 145; classi-
fication by, 722.
UEBERWEG's logic, 6.
Ultimate statements, 144.
Undistributed, attribute, 40; middle
term, 64, 103.
Undulations, of light, 558; analogy
in theory of, 635.
Undulatory theory, 468, 520, 538,
540; inconceivability of, 510.
Unique objects, 728.
Unit, definition of, 157; groups,
167; of measurement, 305;
arcual, 306; of time, 307;
space, 312; density, 316; mass,
317; subsidiary, 320; derived,
321; provisional, 323; of heat,
325; magnetical and electrical
units, 326, 327.
Unity, law of, 72.
Universe, logical, 43; infiniteness
of, 738; heat-history, of, 744,
749; possible states of, 749.
Uranus, anomalies of, 660.
VACUUM, Nature's abhorrence of,
513.
Vapour densities, 548.
Variable, variant, 440, 441, 483.
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