See also:

• ANALYSIS (Gr. avci and Meta, to break up into parts)

ANALYSIS (Gr. avci and See also:

• META

Meta, to break up into parts)  , in See also:

• GENERAL
• GENERAL (Lat. generalis, of or relating to a genus, kind or class)

general, the See also:

• RESOLUTION

resolution of a whole into its component elements; opposed to See also:

• SYNTHESIS (Gr. a6vOeacs, from avvrcBivac, to put together)

synthesis, the combining of See also:

• SEPARATE

separate elements or See also:

• MINOR
• MINOR (Lat. for smaller, lesser)
• MINOR, ROBERT CRANNELL (1839-1904)

minor wholes into an inclusive unity . It differs from See also:

• MERE
• MERE, ADALBERT (1838-1909)

mere " disintegration " in proceeding on a definite scientific See also:

• PLAN
• PLAN (from Lat. planes, flat)

plan . In See also:

• GRAMMAR (from Lat. grammatica, sc. ars; Gr. ypaµ)

grammar, See also:

• ANALYSIS (Gr. avci and Meta, to break up into parts)

analysis is the breaking up of a See also:

• SENTENCE (Lat. sententia, a way of thinking, opinion, judgment; vote, sentire, to feel, think)

sentence into subject, predicate, See also:

• OBJECT

object, &c . (an exercise introduced into See also:

• ENGLISH

English See also:

• SCHOOLS

schools by J . D . See also:

• MORELL, JOHN DANIEL (1816-1891)

Morell about 1852) ; so the analysis of a See also:

• BOOK

book or a lecture is a synopsis of the See also:

• MAIN (from the Aryan root which appears in " may " and " might," and Lat. magnus, great)
• MAIN (Lat. Moenus)

main points . The See also:

• CHIEF (from Fr. chef, head, Lat. caput)

chief technical uses of the word, which retains practically the same meaning in all the sciences, are in (I) See also:

• PHILOSOPHY (Gr. gthos, fond of, and vo4 (a, wisdom)

philosophy, (2) See also:

• MATHEMATICS (Gr. /saBnµar1Kil, Sc. vOcvn or E7rlQTt'µn; from p iN.La, "learning" or "science ")

mathematics, (3) See also:

• CHEMISTRY
• CHEMISTRY (formerly "chymistry"; Gr. xvµela; for derivation see ALCHEMY)

chemistry . (I) Logical analysis is the See also:

• PROCESS

process of examining into the See also:

• CONNOTATION

connotation of a concept or See also:

• IDEA (Gr. Ibia, connected with i&eiv, to see; cf. Lat. species from specere, to look at)

idea, and separating the attributes from the whole and each other . It, therefore, does not increase knowledge, but merely clarifies and tests it . In this sense See also:

• KANT, IMMANUEL (1724-1804)

Kant distinguished an See also:

• ANALYTIC (the adjective of " analysis," q.v.)

analytic from a synthetic See also:

• JUDGMENT

judgment, as one in which the predicate is involved in the essence of the subject . Such judgments are also known as verbal, as opposed to real or See also:

• AMPLIATIVE (from Lat. ampliare, to enlarge)

ampliative judgments . The processes of synthesis and analysis though formally contradictory are practically supplementary; thus to analyse the connotation is to synthesize the See also:

• DENOTATION (from Lat. denotare, to mark out, specify)

denotation of a See also:

• TERM

term, and See also:

• VICE

vice versa; the process of knowledge involves the two methods, analysis being the corrective of synthetic -See also:

• EMPIRICISM (from Gr. Eµrretpor, skilled in, from sreipa, experiment)

empiricism .

In a wider sense the whole of formal See also:

• LOGIC (Xoy1K7, sc. rixvrt, the art of reasoning)

logic is precisely the analysis of the See also:

• LAWS

laws of thought . See also:

• ANALYTICAL

Analytical See also:

• PSYCHOLOGY
• PSYCHOLOGY (>Guxrl, the mind or soul, and X yos, theory)

psychology is distinguished from genetic and empirical psychology inasmuch as it proceeds by the method of introspective investigation of See also:

• MENTAL

mental phenomena instead of by physiological or psycho-See also:

• PHYSICAL

physical experiment . For the relation between analysis and synthesis on the one See also:

• HAND
• HAND (a word common to Teutonic languages; cf. Ger. Hand, Goth. handus)
• HAND, FERDINAND GOTTHELF (1786-185r)

hand, and See also:

• DEDUCTION (from Lat. deducere, to take or lead from or out of, derive)

deduction and See also:

• INDUCTION (from Lat. inducere, to lead into; cf. Gr. ilrayu yli)

induction on the other, see INDUCTION . (2) In mathematics, analysis has two distinct meanings, conveniently termed See also:

• ANCIENT
• ANCIENT (also spelt ANTIENT; derived, through the Fr. ancien, old, from the late Lat. antianum, from ante, before)

ancient and See also:

• MODERN

modern . Ancient analysis, as described by Pappus, related chiefly to geometrical problems, and is the method of reasoning from the See also:

• SOLUTION (from Lat. solvere, to loosen, dissolve)

solution, as taken for granted, to consequences which are known to be true, whereas synthesis reasons from known data to the solution . (See See also:

• GEOMETRY

GEOMETRY.) Modern analysis is practically coeval with See also:

• DESCARTES, RENE (1596-1650)

Descartes, the founder of " analytical geometry," although the calculus of general quantities had previously been termed analysis . Many mathematical subjects are now included under this name, and are treated in the following articles:—GEOMETRY, ANALYTICAL; INFINITESIMAL CALCULUS; See also:

• DIFFERENTIAL

DIFFERENTIAL See also:

• EQUATION (from Lat. aequatio, aequare, to equalize)

EQUATION; See also:

• VARIATIONS
• VARIATIONS, CALCULUS
• VARIATIONS, CALCULUS OF

VARIATIONS, CALCULUS OF; See also:

• CURVE (Lat. curvus, bent)

CURVE; See also:

• SURFACE

SURFACE; See also:

• FUNCTION

FUNCTION; SPHERICAL HARMONICS; See also:

• SERIES (a Latin word from serere, to join)

SERIES; See also:

• FOURIER, F
• FOURIER, FRANCOIS CHARLES MARIE (1772-1837)
• FOURIER, JEAN BAPTISTE JOSEPH (1768-1830)

FOURIER'S SERIES; See also:

• GROUPS
• GROUPS, THEORY

GROUPS, THEORY OF; See also:

• PROBABILITY (Lat. probabilis, probable or credible)

PROBABILITY . (3) In Chemistry, the word analysis was introduced by See also:

• ROBERT
• ROBERT (1275—1343)
• ROBERT, HUBERT (1753-1808)
• ROBERT, LOUIS LEOPOLD (1794-1835)

Robert See also:

• BOYLE
• BOYLE, JOHN J
• BOYLE, ROBERT (1627-1691)

Boyle to denote the determination of the See also:

• COMPOSITION
• COMPOSITION (Lat. compositio, from componere, to put together)

composition of sub-stances . (See CHEMISTRY, Analytical) .