Section V. Number

1. NUMBER, IN THE ABSTRACT

#84. Number.—N. number, symbol, numeral, figure, cipher, digit, # integer; counter; round number; formula; function; series. sum, difference, complement, subtrahend; product; multiplicand, multiplier, multiplicator; coefficient, multiple; dividend, divisor, factor, quotient, submultiple; fraction, rational number; surd, irrational number; transcendental number; mixed number, complex number, complex conjugate; numerator, denominator; decimal, circulating decimal, repetend; common measure, aliquot part; prime number, prime, relative prime, prime factor, prime pair; reciprocal; totient. binary number, octal number, hexadecimal number. permutation, combination, variation; election. ratio, proportion, comparison &c.464; progression; arithmetical progression, geometrical progression, harmonical progression; percentage, permilage. figurate numbers, pyramidal numbers, polygonal numbers. power, root, exponent, index, logarithm, antilogarithm; modulus, base. differential, integral, fluxion, fluent. Adj. numeral, complementary, divisible, aliquot, reciprocal, prime, relatively prime, fractional, decimal, figurate, incommensurable. proportional, exponential, logarithmic, logometric, differential, fluxional, integral, totitive. positive, negative; rational, irrational; surd, radical, real; complex, imaginary; finite; infinite; impossible. Adv. numerically; modulo.

#85. Numeration.—N. numeration; numbering &c. v.; pagination; tale, recension, enumeration, summation, reckoning, computation, supputation; calculation, calculus; algorithm, algorism, rhabdology, dactylonomy; measurement &c. 466; statistics. arithmetic, analysis, algebra, geometry, analytical geometry, fluxions; differential calculus, integral calculus, infinitesimal calculus; calculus of differences. [Statistics] dead reckoning, muster, poll, census, capitation, roll call, recapitulation; account &c. (list) 86. [Operations] notation, addition, subtraction, multiplication, division, rule of three, practice, equations, extraction of roots, reduction, involution, evolution, estimation, approximation, interpolation, differentiation, integration. [Instruments] abacus, logometer, slide rule, slipstick[coll.], tallies, Napier's bones, calculating machine, difference engine, suan- pan; adding machine; cash register; electronic calculator, calculator, computer; [people who calculate] arithmetician, calculator, abacist, algebraist, mathematician; statistician, geometer; programmer; accountant, auditor. V. number, count, tally, tell; call over, run over; take an account of, enumerate, muster, poll, recite, recapitulate; sum; sum up, cast up; tell off, score, cipher, compute, calculate, suppute, add, subtract, multiply, divide, extract roots; algebraize. check, prove, demonstrate, balance, audit, overhaul, take stock; affix numbers to, page. amount to, add up to, come to. Adj. numeral, numerical; arithmetical, analytic, algebraic, statistical, numerable, computable, calculable; commensurable, commensurate; incommensurable, incommensurate, innumerable, unfathomable, infinite. Adv. quantitatively; arithmetically; measurably; in numbers.

#86. List.—N. list, catalog, catalogue, inventory; register &c. # (record) 551. account; bill, bill of costs; terrier; tally, listing, itemization; atlas; book, ledger; catalogue raisonne; tableau; invoice, bill of lading; prospectus; bill of fare, menu, carte; score, census, statistics, returns. [list of topics in a document] contents, table of contents, outline; synopsis. [list of topics in a protracted activity (frame)] program, programme; syllabus; agenda, schedule, calendar, docket. [computer-generated list] listing, printout, output. [written list used as an aid to memory] checklist. table, chart, database; index, inverted file, word list, concordance. dictionary, lexicon; vocabulary, glossary; thesaurus. file, card index, card file, rolodex, address book. Red book, Blue book, Domesday book; cadastre; directory, gazetter. almanac; army list, clergy list, civil service list, navy list; Almanach de Gotha, cadaster; Lloyd's register, nautical almanac; who's who; Guiness's Book of World Records. roll; check roll, checker roll, bead roll; muster roll, muster book; roster, panel, jury list; cartulary, diptych. V. list, itemize; sort, collate; enumerate, tabulate, catalog, tally. Adj. cadastral.

2. DETERMINATE NUMBER

#87. {opp. 100} Unity.—N. unity; oneness &c. adj.; individuality; solitude &c. (seclusion) 893; isolation &c. (disjunction) 44; unification &c. 48. one, unit, ace; individual; none else, no other. V. be one, be alone &c. adj.; dine with Duke Humphrey. isolate &c. (disjoin) 44. render one; unite &c. (join) 43, (combine) 48. Adj. one, sole, single, solitary, unitary; individual, apart, alone; kithless. unaccompanied, unattended; solus, single-handed; singular, odd, unique, unrepeated, azygous, first and last; isolated &c. (disjoined) 44; insular. monospermous; unific, uniflorous, unifoliate, unigenital, uniliteral, unijocular, unimodal [statistics], unimodular. lone, lonely, lonesome; desolate, dreary, insecable|, inseverable, indiscerptible; compact, indivisible, atomic, irresolvable. Adv. singly &c. adj.; alone, by itself, per se, only, apart, in the singular number, in the abstract; one by one, one at a time; simply; one and a half, sesqui-. Phr. natura il fece , e poi roppe la stampa; du fort au faible ; "two souls with but a single thought, two hearts that beat as one".

#88. Accompaniment.—N. accompaniment; adjunct &c. 39; context; appendage, appurtenance. coexistence, concomitance, company, association, companionship; partnership, copartnership; coefficiency. concomitant, accessory, coefficient; companion, buddy, attendant, fellow, associate, friend, colleague; consort, spouse, mate; partner, co- partner; satellite, hanger on, fellow-traveller, shadow; escort, cortege; attribute. V. accompany, coexist, attend; hang on, wait on; go hand in hand with; synchronize &c. 120; bear company, keep company; row in the same boat; bring in its train; associate with, couple with. Adj. accompanying &c. v.; concomitant, fellow, twin, joint; associated with, coupled with; accessory, attendant, obbligato. Adv. with, withal; together with, along with, in company with; hand in hand, side by side; cheek by jowl, cheek by jole; arm in arm; therewith, herewith; and &c. (addition) 37. together, in a body, collectively. Phr. noscitur a sociis; virtutis fortuna comes.

#89. Duality.—N. duality, dualism; duplicity; biplicity, biformity; polarity; two, deuce, couple, duet, brace, pair, cheeks, twins, Castor and Pollux, gemini, Siamese twins; fellows; yoke, conjugation; dispermy, doublets, dyad, span. V. pair[unite in pairs], couple, bracket, yoke; conduplicate; mate, span [U.S.]. Adj. two, twin; dual, dualistic, double; binary, binomial; twin, biparous; dyadic; conduplicate; duplex &c. 90; biduous, binate, diphyletic, dispermic, unijugate; tete-a-tete. coupled &c. v.; conjugate. both, both the one and the other.

#90. Duplication.—N. duplication; doubling &c. v.; gemination, ingemination; reduplication; iteration &c. (repetition) 104; renewal. V. double, redouble, duplicate, reduplicate; geminate; repeat &c. 104; renew &c. 660. Adj. double; doubled &c. v.; bicipital, bicephalous, bidental, bilabiate, bivalve, bivalvular, bifold, biform, bilateral; bifarious, bifacial; twofold, two- sided; disomatous; duplex; double-faced, double-headed; twin, duplicate, ingeminate; second. Adv. twice, once more; over again &c. (repeatedly) 104; as much again, twofold; secondly, in the second place, again.

#91. [Division into two parts.] bisection.—N. bisection, # bipartition; dichotomy, subdichotomy; halving &c. v.; dimidiation. bifurcation, forking, branching, ramification, divarication; fork, prong; fold; half, moiety. V. bisect, halve, divide, split, cut in two, cleave dimidiate, dichotomize. go halves, divide with. separate, fork, bifurcate; branch off, out; ramify. Adj. bisected &c. v.; cloven, cleft; bipartite, biconjugate, bicuspid, bifid; bifurcous, bifurcate, bifurcated; distichous, dichotomous, furcular; semi-, demi-, hemi.

#92. Triality.—N. Triality, trinity; triunity. # three, triad, triplet, trey, trio, ternion, leash; shamrock, tierce, spike-team [U.S.], trefoil; triangle, trident, triennium, trigon, trinomial, trionym, triplopia, tripod, trireme, triseme, triskele, triskelion, trisula. third power, cube; cube root. Adj. three; triform, trinal, trinomial; tertiary; ternary; triune; triarch, triadie; triple &c. 93. Pref. tri-, tris-. Phr. tria juncta in uno.

#93. Triplication.—N. triplication, triplicity; # trebleness, trine. V. treble, triple; triplicate, cube. Adj. treble, triple; tern, ternary; triplicate, threefold, trilogistic; third; trinal, trine. Adv. three times, three fold; thrice, in the third place, thirdly; trebly &c. adj.

#94. [Division into three parts.] Trisection.—N. trisection, tripartition, trichotomy; third, third part. V. trisect, divide into three parts. Adj. trifid; trisected &c. v.; tripartite, trichotomous, trisulcate. Triadelphous, triangular, tricuspid, tricapsular, tridental, tridentate, tridentiferous, trifoliate, trifurcate, trigonal, trigrammic, trigrammatic, tripetalous, tripodal, tripodic, triquetral, triquetrous.

#95. Four.—N. quaternity, four, tetrad, quartet, quaternion, # square, quarter. [planar form with four sides] tetract, tetragon, quadrangle, rectangle. [three dimensional object with four surfaces] tetrahedron. quadrature, quadrifoil, quadriform, quadruplet; quatrefoil. [object or animal with four legs] tetrapod. [geographical area with four sides] quadrangle, quad[coll.]. [electromagnetic object] quadrupole. [four fundamental studies] quadrivium. V. reduce to a square, square. Adj. four; quaternary, quaternal; quadratic; quartile; tetract, tetractic, tetractinal; tetrad, tetragonal; square, quadrate.

#96. Quadruplication.—N. quadruplication. # V. multiply by four, quadruplicate, biquadrate. Adj. fourfold, four times; quadrable, quadrumanous, quadruple, quadruplicate, quadrible; fourth. quadrifoliate, quadrifoliolate, quadrigeminal, quadrigeminate, quadriplanar, quadriserial. Adv. four times; in the fourth place, fourthly.

#97. [Division into four parts.] Quadrisection.—N. quadrisection, # quadripartition; quartering &c. v; fourth; quart; quarter, quartern; farthing (i.e. fourthing); quadrant. V. quarter, divide into four parts. Adj. quartered &c. v.; quadrifid, quadripartite. rectangular.

#98. Five, &c.—N. five, cinque, quint, quincux; six, half-a-dozen, half dozen; seven; eight; nine, three times three; dicker; ten, decade; eleven; twelve, dozen; thirteen; long dozen, baker's dozen; quintuplet; twenty, score; twenty-four, four and twenty, two dozen; twenty- five, five and twenty, quarter of a hundred; forty, two score; fifty, half a hundred; sixty, three score; seventy, three score and ten; eighty, four score; ninety, fourscore and ten; sestiad. hundred, centenary, hecatomb, century; hundredweight, cwt.; one hundred and forty-four, gross. thousand, chiliad; millennium, thousand years, grand[coll.]; myriad; ten thousand, ban[Japanese], man[Japanese]; ten thousand years, banzai[Japanese]; lac, one hundred thousand, plum; million; thousand million, milliard, billion, trillion &c. V. centuriate; quintuplicate. Adj. five, quinary, quintuple; fifth; senary, sextuple; sixth; seventh; septuple; octuple; eighth; ninefold, ninth; tenfold, decimal, denary, decuple, tenth; eleventh; duodenary, duodenal; twelfth; in one's 'teens, thirteenth. vicesimal, vigesimal; twentieth; twenty-fourth &c. n.; vicenary, vicennial. centuple, centuplicate, centennial, centenary, centurial; secular, hundredth; thousandth, &c.

#99. Quinquesection, &c.—N. division by five &c. 98; quinquesection &c.; decimation; fifth &c. V. decimate; quinquesect. Adj. quinquefid, quinquelateral, quinquepartite; quinqevalent, pentavalent; quinquarticular; octifid; decimal, tenth, tithe; duodecimal, twelfth; sexagesimal, sexagenary; hundredth, centesimal; millesimal &c.

3. INDETERMINATE NUMBER

#100. [More than one.] Plurality.—N. plurality; a number, # a certain number; one or two, two or three &c.; a few, several; multitude &c. 102; majority. [large number] multitude &c. 102. Adj. plural, more than one, upwards of; some, several, a few; certain; not alone &c. 87. Adv. et cetera, &c., etc. among other things, inter alia. Phr. non deficit alter .

#100a. [Less than one.] Fraction—N. fraction, fractional part; part # &c. 51. Adj. fractional, fragmentary, inconsiderable, negligible, infinitesimal.

#101. Zero.—N. zero, nothing; null, nul, naught, nought, void; cipher, goose egg; none, nobody, no one; nichts[Ger.], nixie*, nix*; zilch, zip, zippo [all slang]; not a soul; ame qui vive; absence &c. 187; unsubstantiality &c. 4. Adj. not one, not a one, not any, nary a one [dial.]; not a, never a; not a whit of, not an iota of, not a drop of, not a speck of, not a jot; not a trace of, not a hint of, not a smidgen of, not a suspicion of, not a shadow of, neither hide nor hair of.

#102. Multitude.—N. multitude; numerous &c. adj.; numerosity, numerality; multiplicity; profusion &c. (plenty) 639; legion, host; great number, large number, round number, enormous number; a quantity, numbers, array, sight, army, sea, galaxy; scores, peck, bushel, shoal, swarm, draught, bevy, cloud, flock, herd, drove, flight, covey, hive, brood, litter, farrow, fry, nest; crowd &c. (assemblage) 72; lots; all in the world and his wife. [Increase of number] greater number, majority; multiplication, multiple. V. be numerous &c. adj.; swarm with, teem with, creep with; crowd, swarm, come thick upon; outnumber, multiply; people; swarm like locusts, swarm like bees. Adj. many, several, sundry, divers, various, not a few; Briarean; a hundred, a thousand, a myriad, a million, a quadrillion, a nonillion, a thousand and one; some ten or a dozen, some forty or fifty &c.; half a dozen, half a hundred &c.; very many, full many, ever so many; numerous; numerose; profuse, in profusion; manifold, multiplied, multitudinous, multiple, multinominal, teeming, populous, peopled, crowded, thick, studded; galore. thick coming, many more, more than one can tell, a world of; no end of, no end to; cum multis aliis; thick as hops, thick as hail; plenty as blackberries; numerous as the stars in the firmament, numerous as the sands on the seashore, numerous as the hairs on the head; and what not, and heaven knows what; endless &c. (infinite) 105. Phr. their name is "legion"; acervatim; en foule; "many- headed multitude" [Sidney]; "numerous as glittering gems of morning dew" [Young]; vel prece vel pretio.

#103. Fewness.—N. fewness &c. adj.; paucity, small number; small quantity &c. 32; rarity; infrequency &c. 137; handful, maniple; minority; exiguity. [Diminution of number] reduction; weeding &c. v.; elimination, sarculation|, decimation; eradication. V. be few &c. adj. render few &c. adj.; reduce, diminish the number, weed, eliminate, cull, thin, decimate. Adj. few; scant, scanty; thin, rare, scattered, thinly scattered, spotty, few and far between, exiguous; infrequent &c. 137; rari nantes[Latin]; hardly any, scarcely any; to be counted on one's fingers; reduced &c. v.; unrepeated. Adv. rarely, here and there.

#104. Repetition.—N. repetition, iteration, reiteration, harping, recurrence, succession, run; battology, tautology; monotony, tautophony; rhythm &c. 138; diffuseness, pleonasm, redundancy. chimes, repetend, echo, ritornello, burden of a song, refrain; rehearsal; rechauffe, rifacimento, recapitulation. cuckoo &c. (imitation) 19; reverberation &c. 408; drumming &c. (roll) 407; renewal &c. (restoration) 660. twice-told tale; old story, old song; second edition, new edition; reappearance, reproduction, recursion ; periodicity &c. 138. V. repeat, iterate, reiterate, reproduce, echo, reecho, drum, harp upon, battologize, hammer, redouble. recur, revert, return, reappear, recurse ; renew &c. (restore) 660. rehearse; do over again, say over again; ring the changes on; harp on the same string; din in the ear, drum in the ear; conjugate in all its moods tenses and inflexions, begin again, go over the same ground, go the same round, never hear the last of; resume, return to, recapitulate, reword. Adj. repeated &c. v.; repetitional, repetitionary; recurrent, recurring; ever recurring, thick coming; frequent, incessant; redundant, pleonastic. monotonous, harping, iterative, recursive [Math, Comp], unvaried; mocking, chiming; retold; aforesaid, aforenamed; above-mentioned, above-said; habitual &c. 613; another. Adv. repeatedly, often, again, anew, over again, afresh, once more; ding-dong, ditto, encore, de novo, bis, da capo. again and again; over and over, over and over again; recursively ; many times over; time and again, time after time; year after year; day by day &c.; many times, several times, a number of times; many a time, full many a time; frequently &c. 136. Phr. ecce iterum Crispinus; toujours perdrix; "cut and come again" [Crabbe]; "tomorrow and tomorrow and tomorrow" [Macbeth]; cantilenam eandem canis [Terence]; nullum est jam dictum quod non dictum sit prius [Terence].

#105. Infinity.—N. infinity, infinitude, infiniteness &c. adj.; perpetuity &c. 112; boundlessness. V. be infinite &c. adj.; know no limits, have no limits, know no bounds, have no bounds; go on for ever. Adj. infinite; immense; numberless, countless, sumless, measureless; innumerable, immeasurable, incalculable, illimitable, inexhaustible, interminable, unfathomable, unapproachable; exhaustless, indefinite; without number, without measure, without limit, without end; incomprehensible; limitless, endless, boundless, termless; untold, unnumbered, unmeasured, unbounded, unlimited; illimited; perpetual &c. 112. Adv. infinitely &c. adj.; ad infinitum. Phr. "as boundless as the sea" [Romeo and Juliet].