functional primitive

см. functional level primitive

функциональный примитив, базисный элемент функционального уровня; см. также functional primitive; primitive element

c black fonction [fɔ̃ksjɔ̃]

   a. function

• remplir une fonction to fulfil a function

• être fonction de to be a function of

► en fonction de according to

c black   b. ( = métier) office

• fonctions ( = tâches) duties

• entrer en fonction(s)

• prendre ses fonctions [employé] to take up one's post ; [maire, président] to take office

• ça n'entre pas dans mes fonctions it's not part of my duties

• faire fonction de directeur to act as manager

• la fonction publique the civil service

• logement de fonction [de concierge, fonctionnaire] on-site accommodation (with low or free rent)

• avoir une voiture de fonction to have a company car

━━━━━━━━━━━━━━━━━

✎ Le mot anglais s'écrit avec - un- au début.

━━━━━━━━━━━━━━━━━

The term la fonction publique has great cultural significance in France, and covers a much broader range of activities than the English term « civil service ». There are almost three million « fonctionnaires » (also known as « agents de l'État ») in France. They include teachers, social services staff, post office workers and employees of the French rail service.

Because this status theoretically guarantees total job security, « fonctionnaires » are sometimes stereotyped as being unfairly privileged compared to private sector employees. → CONCOURS

* * *

1) (dans l'administration, une entreprise) ( poste) post; ( activité) duties (pl)

2) ( dépendance)

3) ( rôle) function

4) Mathématique, Informatique, Chimie, Biologie function

5) ( secteur) profession

6) Technologie function

7) Linguistique function

•

- fonction primitive

- fonction publique

* * *

1. nf

1) (= rôle) function

2) (= emploi, poste) post, position

3) MATHÉMATIQUE, LINGUISTIQUE function

4) (locutions)

2. fonctions nfpl

(professionnelles) duties

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fonction nf

1 Admin, Entr ( poste) post; ( activité) duties (pl); prendre ses fonctions, entrer en fonctions to take up one's post; depuis votre prise de or entrée en fonctions since you took up your post; se démettre/être démis de ses fonctions gén to resign/to be dismissed from one's post; [membre du gouvernement] to resign/to be dismissed from office; dans le cadre de mes fonctions as part of my duties; dans l'exercice de leurs fonctions while carrying out their duties; la formation n'entre pas dans leurs fonctions training is not part of their duties; occuper la fonction de secrétaire to hold the position of secretary; quitter ses fonctions to leave one's job; être/rester en fonction(s) to be/stay in office; logement de fonction accommodation provided with the job; voiture de fonction company car; occuper d'importantes fonctions to hold important office; être appelé à de hautes fonctions to be called to high office;

2 ( dépendance) en fonction de according to; être fonction de to vary according to; réagir en fonction de cinq paramètres to react according to five parameters; le salaire est fonction des diplômes the salary varies according to qualifications;

3 ( rôle) function; fonction d'une machine/un produit function of a machine/a product; avoir pour fonction de faire to be designed to do; faire fonction de to serve as; faire fonction de dessert/levier to serve as dessert/a lever;

4 Biol function; les fonctions hépatiques liver functions; la fonction crée l'organe the organ is shaped by its function;

5 Math, Ordinat function; fonction du deuxième degré second degree function; fonction continue/dérivée/exponentielle/périodique continuous/derived/exponential/periodic function;

6 ( secteur) profession; fonction enseignante/médicale teaching/medical profession;

7 Tech function; la fonction avance rapide est en panne the fast forward function does not work;

8 Chimie function; fonction acide/base acid/base function;

9 Ling function; fonctionsujet/complément subject/complement function; fonction connotative/dénotative connotative/denotative function.

fonction de fonctions Math functional; fonction primitive Ordinat primitive; fonction publique Admin civil service; entrer dans la fonction publique to join the civil service.

[fɔ̃ksjɔ̃] nom féminin

1. [emploi] office

2. [rôle] function

3. [dépendre de]

4. CHIMIE & LINGUISTIQUE & MATHÉMATIQUES function

en fonction inverse de in inverse ratio to

————————

de fonction locution adjectivale

voiture de fonction company car

————————

en fonction de locution prépositionnelle

according to

————————

fonction publique nom féminin

la fonction publique the civil ou public service

    The Formal Structure of the Virtual Machine

   wo programs can be thought of as strongly equivalent or as different realizations of the same algorithm or the same cognitive process if they can be represented by the same program in some theoretically specified virtual machine. A simple way of stating this is to say that we individuate cognitive processes in terms of their expression in the canonical language of this virtual machine. The formal structure of the virtual machine-or what I call its functional architecture-thus represents the theoretical definition of, for example, the right level of specificity (or level of aggregation) at which to view mental processes, the sort of functional resources the brain makes available-what operations are primitive, how memory is organized and accessed, what sequences are allowed, what limitations exist on the passing of arguments and on the capacities of various buffers, and so on. (Pylyshyn, 1984, p. 92)

* * *

а́белева гру́ппа мат. — Abelian [commutative] group

гру́ппа автоморфи́змов мат. — automorphism group

ари́льная гру́ппа — aryl residue

архе́йская гру́ппа геол. — Archean group

гру́ппа а́томов — cluster of atoms

бесконе́чная гру́ппа мат. — infinite group, a group of infinite order

гру́ппа бло́ков па́мяти — memory bank

винтомото́рная гру́ппа — aircraft power plant, propulsion unit

возрастна́я гру́ппа — age group, age bracket

гру́ппа враще́ния мех. — rotational group, group of rotations

втори́чная гру́ппа свз. — supergroup

гру́ппа доро́жек вчт. — track group

дро́бно-лине́йная гру́ппа мат. — linear fractional group

замеща́ющая гру́ппа хим. — substituting group

знакопереме́нная гру́ппа — alternating group

гру́ппа ио́нов — ionic cluster

кана́льная, втори́чная гру́ппа ( 60 каналов) — (60-)channel supergroup

кана́льная, перви́чная гру́ппа ( 12 каналов) — (12-)channel bank

кана́льная, трети́чная гру́ппа ( 300 каналов) — (300-)channel master group

киносъё́мочная гру́ппа — film production staff

гру́ппа клете́й ( прокатного стана) — train

гру́ппа клете́й, непреры́вная — continuous train

гру́ппа клете́й, располо́женных в ша́хматном поря́дке — staggered train

гру́ппа клете́й, чернова́я — roughing train

гру́ппа клете́й, чистова́я — finishing train

гру́ппа коло́нок (перфо)ка́рты — card field

коммутати́вная гру́ппа мат. — commutative [Abelian] group

компа́ктная гру́ппа мат. — compact group

компа́ктная, лока́льная гру́ппа мат. — locally compact group

коне́чная гру́ппа мат. — finite group

конта́ктная гру́ппа — contact set

конта́ктная гру́ппа на замыка́ние — make contact springs

конта́ктная гру́ппа на размыка́ние — break contact springs

гру́ппа Ли мат. — Lie group

мультиопера́торная гру́ппа мат. — group with multiple operators

гру́ппа нагрева́тельных коло́дцев — battery [bank] of soaking [reheating] pits

накрыва́ющая гру́ппа мат. — covering group

гру́ппа направле́ний, непо́лная геод. — broken round

некоммутати́вная гру́ппа мат. — non-commutative group

непреры́вная гру́ппа мат. — continuous group

нильпоте́нтная гру́ппа мат. — nilpotent group

однопараметри́ческая гру́ппа мат. — one-parameter group

периоди́ческая гру́ппа мат. — torsion group

гру́ппа подстано́вок мат. — substitution [permutation] group

полупроста́я гру́ппа мат. — semi-simple group

гру́ппа преобразова́ний — transformation group

прима́рная гру́ппа мат. — primary group

примити́вная гру́ппа мат. — primitive group

проекти́вная гру́ппа мат. — projective group

прое́ктная гру́ппа — design team

проста́я гру́ппа мат. — simple group

радика́льная гру́ппа — radical group

разреши́мая гру́ппа мат. — solvable [integrable] group

гру́ппа свай — clump of piles

силова́я гру́ппа ав. — power plant, propulsion unit

гру́ппа симме́трии — symmetry group

гру́ппа слов вчт. — block of words

гру́ппа соедине́ния обмо́ток ( трансформатора) — (group) reference, vector [phase-displacement] group

гру́ппа сопротивле́ний — bank of resistors

гру́ппа ста́на, чернова́я прок. — roughing mill group

гру́ппа ста́на, чистова́я прок. — finishing mill group

гру́ппа сто́ек свз. — row of bays

гру́ппа ступе́нчатого включе́ния свз., тлф. — grading group

гру́ппа счё́тчиков (напр. частиц) — bank of counters

гру́ппа тепловыделя́ющих элеме́нтов ( ядерного реактора) — cluster of fuel elements

топологи́ческая гру́ппа — topological group

гру́ппа то́чек — cluster of points

унита́рная гру́ппа мат. — unitary group

фанто́мная гру́ппа свз. — phantom group

фё́доровская гру́ппа мат. — Fedorov group

функциона́льная гру́ппа — functional group

цикли́ческая гру́ппа — cyclic(al) group

гру́ппа части́ц — ( движущихся) particle group; ( неподвижных) cluster of particles, particle cluster

гру́ппа шри́фта — family of type

гру́ппа электро́нов — bunch of electrons

υἱός, οῦ, ὁ (Hom.+; loanw. in rabb.) prim. ‘son’

① a male who is in a kinship relationship either biologically or by legal action, son, offspring, descendant

ⓐ the direct male issue of a person, son τέξεται υἱόν Mt 1:21; GJs 14:2 (cp. Mel., P. 8, 53 ὡς γὰρ υἱὸς τεχθείς). Cp. Mt 1:23 (Is 7:14) and 25; 10:37 (w. θυγάτηρ); Mk 12:6a; Lk 1:13, 31, 57; 11:11; 15:11 (on this JEngel, Die Parabel v. Verlorenen Sohn: ThGl 18, 1926, 54–64; MFrost, The Prodigal Son: Exp. 9th ser., 2, 1924, 56–60; EBuonaiuti, Religio 11, ’35, 398–402); Ac 7:29; Ro 9:9 (cp. Gen 18:10); Gal 4:22 al. W. gen. Mt 7:9; 20:20f; 21:37ab; Mk 6:3; 9:17; Lk 3:2; 4:22; 15:19; J 9:19f; Ac 13:21; 16:1; 23:16; Gal 4:30abc (Gen 21:10abc); Js 2:21; AcPlCor 2:29. Also ἐγὼ Φαρισαῖός εἰμι υἱὸς Φαρισαίων Ac 23:6 is prob. a ref. to direct descent. μονογενὴς υἱός (s. μονογενής 1) Lk 7:12. ὁ υἱὸς ὁ πρωτότοκος (πρωτότοκος 1) 2:7.

ⓑ the immediate male offspring of an animal (Ps 28:1 υἱοὺς κριῶν; Sir 38:25. So Lat. filius: Columella 6, 37, 4) in our lit. only as foal ἐπὶ πῶλον υἱὸν ὑποζυγίου Mt 21:5 (cp. Zech 9:9 πῶλον νέον).

ⓒ human offspring in an extended line of descent, descendant, son Ἰωσὴφ υἱὸς Δαυίδ Mt 1:20 (cp. Jos., Ant. 11, 73); s. 2dα below. υἱοὶ Ἰσραήλ (Ἰσραήλ 1) Mt 27:9; Lk 1:16; Ac 5:21; 7:23, 37; 9:15; 10:36; Ro 9:27; 2 Cor 3:7, 13; Hb 11:22 al.; AcPlCor 2:32. οἱ υἱοὶ Λευί (Num 26:57) Hb 7:5. υἱὸς Ἀβραάμ Lk 19:9. υἱοὶ Ἀδάμ 1 Cl 29:2 (Dt 32:8). υἱοι Ῥουβήλ GJs 6:3.

ⓓ one who is accepted or legally adopted as a son (Herodian 5, 7, 1; 4; 5; Jos, Ant. 2, 263; 20, 150) Ac 7:21 (cp. Ex 2:10).—J 19:26.

② a pers. related or closely associated as if by ties of sonship, son, transf. sense of 1

ⓐ of a pupil, follower, or one who is otherw. a spiritual son (SIG 1169, 12 οἱ υἱοὶ τοῦ θεοῦ=the pupils and helpers [40] of Asclepius; sim. Maximus Tyr. 4, 2c; Just., D. 86, 6 οἱ υἱοὶ τῶν προφητῶν.—Some combination w. παῖδες is the favorite designation for those who are heirs of guild-secrets or who are to perpetuate a skill of some kind: Pla., Rep. 3, 407e, Leg. 6, 769b; Dionys. Hal., Comp. Verbi 22 p. 102, 4 Us./Rdm. ῥητόρων παῖδες; Lucian, Anach. 19, Dial. Mort. 11, 1 Χαλδαίων π.=dream-interpreters, Dips. 5 ἱατρῶν π., Amor. 49; Himerius, Or. 48 [=Or. 14], 13 σοφῶν π.): the ‘sons’ of the Pharisees Mt 12:27; Lk 11:19. Peter says Μᾶρκος ὁ υἱός μου 1 Pt 5:13 (perh. w. a component of endearment; s. Μᾶρκος). As a familiar form of address by a cherished mentor Hb 12:5 (Pr 3:11; ParJer 5:28; 7:24). υἱοὶ καὶ θυγατέρες B 1:1.

ⓑ of the individual members of a large and coherent group (cp. the υἷες Ἀχαιῶν in Homer; also PsSol 2:3 οἱ υἱοὶ Ἰερουσαλήμ; Dio Chrys. 71 [21], 15; LXX) οἱ υἱοὶ τοῦ λαοῦ μου 1 Cl 8:3 (scripture quot. of unknown origin). υἱοὶ γένους Ἀβραάμ Ac 13:26. οἱ υἱοὶ τῶν ἀνθρώπων (Gen 11:5; Ps 11:2, 9; 44:3; TestLevi 3:10; TestZeb 9:7; GrBar 2:4) the sons of men=humans (cp. dγ below) Mk 3:28; Eph 3:5; 1 Cl 61:2 (of the earthly rulers in contrast to the heavenly king).

ⓒ of one whose identity is defined in terms of a relationship with a person or thing

α. of those who are bound to a personality by close, non-material ties; it is this personality that has promoted the relationship and given it its character: son(s) of: those who believe are υἱοὶ Ἀβραάμ, because Abr. was the first whose relationship to God was based on faith Gal 3:7. In a special sense the devout, believers, are sons of God, i.e., in the light of the social context, people of special status and privilege (cp. PsSol 17:27; Just., D, 124, 1; Dio Chrys. 58 [75], 8 ὁ τοῦ Διὸς ὄντως υἱός; Epict. 1, 9, 6; 1, 3, 2; 1, 19, 9; Sextus 58; 60; 135; 376a; Dt 14:1; Ps 28:1; 72:15; Is 43:6 [w. θυγατέρες μου]; 45:11; Wsd 2:18; 5:5; 12:21 al.; Jdth 9:4, 13; Esth 8:12q; 3 Macc 6:28; SibOr 3, 702) Mt 5:45; Lk 6:35; Ro 8:14, 19 (‘Redeemer figures’ EFuchs, Die Freiheit des Glaubens, ’49, 108; against him EHommel in ThViat 4, ’52, 118, n. 26); 9:26 (Hos 2:1); 2 Cor 6:18 (w. θυγατέρες, s. Is 43:6 cited above); Gal 3:26 (cp. PsSol 17:27); 4:6a, 7ab (here the υἱός is the κληρονόμος and his opposite is the δοῦλος); Hb 2:10 (JKögel, Der Sohn u. die Söhne: Eine exeget. Studie zu Hb 2:5–18, 1904); 12:5–8 (in vs. 8 opp. νόθος, q.v.); Rv 21:7; 2 Cl 1:4; B 4:9. Corresp. there are sons of the devil (on this subj. cp. Hdb. on J 8:44) υἱὲ διαβόλου Ac 13:10. οἱ υἱοὶ τοῦ πονηροῦ (masc.) Mt 13:38b. τοῦ υἱοῦ τοῦ ἐν Ἅιδου ApcPt Rainer. In υἱοί ἐστε τῶν φονευσάντων τοὺς προφήτας Mt 23:31 this mng. is prob. to be combined w. sense 1c. The expr. υἱοὶ θεοῦ Mt 5:9 looks to the future (s. Betz, SM ad loc.; cp. KKöhler, StKr 91, 1918, 189f). Lk 20:36a signifies a status akin to that of angels (Ps 88:7; θεῶν παῖδες as heavenly beings: Maximus Tyr. 11, 5a; 12a; 13, 6a.—Hierocles 3, 424 the ἄγγελοι are called θεῶν παῖδες; HWindisch, Friedensbringer-Gottessöhne: ZNW 24, 1925, 240–60, discounts connection w. angels and contends for the elevation of the ordinary followers of Jesus to the status of Alexander the Great in his role as an εἰρηνηποιός [cp. Plut., Mor. 329c]; for measured critique of this view s. Betz, SM 137–42.).

β. υἱός w. gen. of thing, to denote one who shares in it or who is worthy of it, or who stands in some other close relation to it, oft. made clear by the context; this constr. is prob. a Hebraism in the main, but would not appear barbaric (B-D-F §162, 6; Mlt-H. 441; Dssm., B p. 162–66 [BS 161–66]; PASA II 1884, no. 2 υἱὸς πόλεως [time of Nero; on this type of formulation SEG XXXIX, 1864]; IMagnMai 167, 5; 156, 12) οἱ υἱοὶ τοῦ αἰῶνος τούτου (αἰών 2a) Lk 16:8a (opp. οἱ υἱοί τοῦ φωτός vs. 8b); 20:34. τῆς ἀναστάσεως υἱοί (to Mediterranean publics the functional equivalent of ἀθάνατοι ‘immortals’; cp. ἀνάστασις 2b) 20:36b. υἱοὶ τῆς ἀνομίας (ἀνομία 1; cp. CD 6:15) Hv 3, 6, 1; ApcPt 1:3; τῆς ἀπειθείας (s. ἀπείθεια) Eph 2:2; 5:6; Col 3:6; τῆς ἀπωλείας ApcPt 1:2. ὁ υἱὸς τῆς ἀπωλείας of Judas the informer J 17:12 (cp. similar expressions in Eur., Hec. 425; Menand., Dyscolus 88f: s. FDanker, NTS 7, ’60/61, 94), of the end-time adversary 2 Th 2:3. υἱοὶ τῆς βασιλείας (βασιλεία 1bη; s. SEG XXXIX, 1864 for related expressions) Mt 8:12; 13:38a. υἱοὶ βροντῆς Mk 3:17 (s. Βοανηργές). υἱὸς γεέννης (s. γέεννα) Mt 23:15; τ. διαθήκης (PsSol 17:15) Ac 3:25; εἰρήνης Lk 10:6. υἱοὶ τοῦ νυμφῶνος (s. νυμφών) Mt 9:15; Mk 2:19; Lk 5:34. υἱὸς παρακλήσεως Ac 4:36 (s. Βαρναβᾶς). υἱοὶ (τοῦ) φωτός (Hippol., Ref. 6, 47, 4 in gnostic speculation) Lk 16:8b (opp. υἱοὶ τοῦ αἰῶνος τούτου); J 12:36. υἱοὶ φωτός ἐστε καὶ υἱοὶ ἡμέρας 1 Th 5:5 (EBuonaiuti, ‘Figli del giorno e della luce’ [1 Th 5:5]: Rivista storico-critica delle Scienze teol. 6, 1910, 89–93).

ⓓ in various combinations as a designation of the Messiah and a self-designation of Jesus

α. υἱὸς Δαυίδ son of David of the Messiah (PsSol 17:21) Mt 22:42–45; Mk 12:35–37; Lk 20:41–44; B 12:10c. Specif. of Jesus as Messiah Mt 1:1a; 9:27; 12:23; 15:22; 20:30f; 21:9, 15; Mk 10:47f; Lk 18:38f.—WWrede, Jesus als Davidssohn: Vorträge u. Studien 1907, 147–77; WBousset, Kyrios Christos² 1921, 4, Rel.³ 226f; ELohmeyer, Gottesknecht u. Davidssohn ’45, esp. 68; 72; 77; 84; TNicklin, Gospel Gleanings ’50, 251–56; WMichaelis, Die Davidsohnschaft Jesu usw., in D. histor. Jesus u. d. kerygm. Christus, ed. Ristow and Matthiae, ’61, 317–30; LFisher, ECColwell Festschr. ’68, 82–97.

β. ὁ υἱὸς τοῦ θεοῦ, υἱὸς θεοῦ (the) Son of God (for the phrase s. JosAs 6:2 al. Ἰωσὴφ ὁ υἱὸς τοῦ θεοῦ; there is no undisputed evidence of usage as messianic title in pre-Christian Judaism [s. Dalman, Worte 219–24, Eng. tr. 268–89; Bousset, Kyrios Christos² 53f; EHuntress, ‘Son of God’ in Jewish Writings Prior to the Christian Era: JBL 54, ’35, 117–23]; cp. 4Q 246 col. 2, 1 [JFitzmyer, A Wandering Aramean ’79, 90–93; JCollins, BRev IX/3, ’93, 34–38, 57]. Among polytheists on the other hand, sons of the gods in a special sense [s. Just., A I, 21, 1f] are not only known to myth and legend, but definite historical personalities are also designated as such. Among them are famous wise men such as Pythagoras and Plato [HUsener, Das Weihnachtsfest² 1911, 71ff], and deified rulers, above all the Roman emperors since the time of Augustus [oft. in ins and pap: Dssm., B 166f=BS 166f, LO 294f=LAE 346f; Thieme 33]. According to Memnon [I B.C./ I A.D.]: 434 Fgm. 1, 1, 1 Jac., Clearchus [IV B.C.] carried his boasting so far as Διὸς υἱὸν ἑαυτὸν ἀνειπεῖν. Also, persons who were active at that time as prophets and wonder-workers laid claim to the title υἱὸς τοῦ θεοῦ, e.g. the Samaritan Dositheus in Origen, C. Cels. 6, 11; sim. an Indian wise man who calls himself Διὸς υἱός Arrian, Anab. 7, 2, 3; cp. Did., Gen. 213, 18 ὁ Ἀβρὰμ υἱὸς θεοῦ διὰ δικαιοσύνην. S. GWetter, ‘Der Sohn Gottes’ 1916; Hdb. exc. on J 1:34; s. also Clemen² 76ff; ENorden, Die Geburt des Kindes 1924, 75; 91f; 132; 156f; EKlostermann, Hdb. exc. on Mk 1:11 [4th ed. ’50]; M-JLagrange, Les origines du dogme paulinien de la divinité de Christ: RB 45, ’36, 5–33; HPreisker, Ntl. Zeitgesch. ’37, 187–208; HBraun, ZTK 54, ’57, 353–64; ANock, ‘Son of God’ in Paul. and Hellen. Thought: Gnomon 33, ’61, 581–90 [=Essays on Religion and the Anc. World II, ’72, 928–39]—originality in Paul’s thought): Ps 2:7 is applied to Jesus υἱός μου εἶ σύ, ἐγὼ σήμερον γεγέννηκά σε Lk 3:22 D; GEb 18, 37.—Ac 13:33; Hb 1:5a; 5:5; 1 Cl 36:4. Likew. Hos 11:1 (w. significant changes): Mt 2:15, and 2 Km 7:14: Hb 1:5b. The voice of God calls him ὁ υἱός μου ὁ ἀγαπητός (s. ἀγαπητός 1) at his baptism Mt 3:17; Mk 1:11; Lk 3:22; GEb 18, 37 and 39 and at the Transfiguration Mt 17:5; Mk 9:7; Lk 9:35 (here ἐκλελεγμένος instead of ἀγαπ.); 2 Pt 1:17. Cp. J 1:34. The angel at the Annunciation uses these expressions in referring to him: υἱὸς ὑψίστου Lk 1:32; GJs 11:3 and υἱὸς θεοῦ Lk 1:35 (Ar. 15, 1 ὁ υἱὸς τοῦ θεοῦ τοῦ ὑψίστου. Cp. Just., A I, 23, 2 μόνος ἰδίως υἱὸς τῷ θεῷ γεγέννηται). The centurion refers to him at the crucifixion as υἱὸς θεοῦ Mt 27:54; Mk 15:39; GPt 11:45; cp. vs. 46 (CMann, ET 20, 1909, 563f; JPobee, The Cry of the Centurion, A Cry of Defeat: CFDMoule Festschr. ’70, 91–102; EJohnson, JSNT 31, ’87, 3–22 [an indefinite affirmation of Jesus]). The high priest asks εἰ σὺ εἶ ὁ Χριστὸς ὁ υἱὸς τοῦ θεοῦ Mt 26:63 (DCatchpole, NTS 17, ’71, 213–26). Passers-by ask him to show that he is God’s Son 27:40; sim. the devil 4:3, 6; Lk 4:3, 9. On the other hand, evil spirits address him as the Son of God Mt 8:29; Mk 3:11; 5:7; Lk 4:41; 8:28; and disciples testify that he is Mt 14:33; 16:16. S. also Mk 1:1 (s. SLegg, Ev. Sec. Marc. ’35).—Jesus also refers to himself as Son of God, though rarely apart fr. the Fourth Gosp.: Mt 28:19 (the Risen Lord in the trinitarian baptismal formula); Mt 21:37f=Mk 12:6 (an allusion in the parable of the vinedressers).—Mt 27:43; Mk 13:32; Rv 2:18. The main pass. is the so-called Johannine verse in the synoptics Mt 11:27=Lk 10:22 (s. PSchmiedel, PM 4, 1900,1–22; FBurkitt, JTS 12, 1911, 296f; HSchumacher, Die Selbstoffenbarung Jesu bei Mt 11:27 [Lk 10:22] 1912 [lit.]; Norden, Agn. Th. 277–308; JWeiss, Heinrici Festschr. 1914, 120–29, Urchristentum 1917, 87ff; Bousset, Kyrios Christos² 1921, 45ff; EMeyer I 280ff; RBultmann, Gesch. d. synopt. Trad.² ’31, 171f; MDibelius, Die Formgeschichte des Evangeliums² ’33, 259; MRist, Is Mt 11:25–30 a Primitive Baptismal Hymn? JR 15, ’35, 63–77; TArvedson, D. Mysterium Christi: E. Studie zu Mt 11:25–30, ’37; WDavies, ‘Knowledge’ in the Dead Sea Scrolls and Mt 11:25–30, HTR 45, ’53, 113–39; WGrundmann, Sohn Gottes, ZNW 47, ’56, 113–33; JBieneck, Sohn Gottes als Christusbez. der Synopt. ’51; PWinter, Mt 11:27 and Lk 10:22: NovT 1, ’56, 112–48; JJocz, Judaica 13, ’57, 129–42; OMichel/OBetz, Von Gott Gezeugt, Beih. ZNW [Jeremias Festschr.] 26, ’60, 3–23 [Qumran]).—Apart fr. the synoptics, testimony to Jesus as the Son of God is found in many parts of our lit. Oft. in Paul: Ro 1:3, 4, 9; 5:10; 8:3, 29, 32; 1 Cor 1:9; 15:28; 2 Cor 1:19; Gal 1:16; 2:20; 4:4; Eph 4:13; Col 1:13; 1 Th 1:10. Cp. Ac 9:20. In Hb: 1:2, 8; 4:14; 5:8; 6:6; 7:3, 28; 10:29. In greatest frequency in John (cp. Herm. Wr. 1, 6 the Λόγος as υἱὸς θεοῦ. Likew. Philo, Agr. 51 πρωτόγονος υἱός, Conf. Lingu. 146 υἱὸς θεοῦ.—Theoph. Ant. 2, 1 [p. 154, 12] ὁ λόγος ὁ τοῦ θεοῦ, ὅς ἐστιν καὶ υἱὸς αὐτοῦ; Iren. 3, 12, 2 [Harv. II 55, 2]): J 1:49; 3:16–18 (s. μονογενής 2), 35f; 5:19–26; 6:40; 8:35f; 10:36; 11:4, 27; 14:13; 17:1; 19:7; 20:31; 1J 1:3, 7; 2:22–24; 3:8, 23; 4:9f, 14f; 5:5, 9–13, 20; 2J 3, 9.—B 5:9, 11; 7:2, 9; 12:8; 15:5; Dg 7:4; 9:2, 4; 10:2 (τὸν υἱὸν αὐτοῦ τὸν μονογενῆ; also ApcEsdr 6:16 p. 31, 22 Tdf.; ApcSed 9:1f); IMg 8:2; ISm 1:1; MPol 17:3; Hv 2, 2, 8; Hs 5, 2, 6 (ὁ υἱὸς αὐτοῦ ὁ ἀγαπητός); 8; 11; 5, 4, 1; 5, 5, 2; 3; 5; 5, 6, 1; 2; 4; 7 (on the Christology of the Shepherd s. Dibelius, Hdb. on Hs 5, also ALink and JvWalter [πνεῦμα 5cα]); Hs 8, 3, 2; 8, 11, 1. Cp. 9, 1, 1; 9, 12, 1ff.—In trinitarian formulas, in addition to Mt 28:19, also IMg 13:1; EpilMosq 5; D 7:1, 3.—The deceiver of the world appears w. signs and wonders ὡς υἱὸς θεοῦ D 16:4 (ApcEsdr 4:27 p. 28, 32 Tdf. ὁ λέγων• Ἐγώ εἰμι ὁ υἱὸς τοῦ θεοῦ [of Antichrist]).—EKühl, Das Selbstbewusstsein Jesu 1907, 16–44; GVos, The Self-disclosure of Jesus 1926.—EBurton, ICC Gal 1921, 404–17; TNicklin, Gospel Gleanings ’50, 211–36; MHengel, The Son of God (tr. JBowden) ’76; DJones, The Title υἱὸς θεοῦ in Acts: SBLSP 24, ’85, 451–63.

γ. ὁ υἱὸς τοῦ ἀνθρώπου lit. ‘the son of the man’ (the pl. form οἱ υἱοὶ τῶν ἀνθρώπων appears freq. in the LXX to render בְּנֵי אָדָם = mortals, e.g. Gen 11:5; Ps 10:4; 11:2; cp. ὁ υἱὸς τῆς ἀπολείας J 17:12 [s. 2cβ]) ‘the human being, the human one, the man’ in our lit. only as a byname in ref. to Jesus and in an exclusive sense the Human One, the Human Being, one intimately linked with humanity in its primary aspect of fragility yet transcending it, traditionally rendered ‘the Son of Man.’ The term is found predom. in the gospels, where it occurs in the synoptics about 70 times (about half as oft. if parallels are excluded), and in J 12 times (s. EKlostermann, Hdb. exc. on Mk 8:31). In every case the title is applied by Jesus to himself. Nowhere within a saying or narrative about him is it found in an address to him: Mt 8:20; 9:6; 10:23; 11:19; 12:8, 32, 40; 13:37, 41; 16:13, 27f; 17:9, 12, 22; 18:10 [11] v.l.; 19:28; 20:18, 28; 24:27, 30, 37, 39, 44; 25:13 v.l., 31; 26:2, 24ab, 45, 64; Mk 2:10, 28; 8:31, 38; 9:9, 12, 31; 10:33, 45; 13:26; 14:21ab, 41, 62; Lk 5:24; 6:5, 22; 7:34; 9:22, 26, 44, 56 v.l., 58; 11:30; 12:8, 10, 40; 17:22, 24, 26, 30; 18:8, 31; 19:10; 21:27, 36; 22:22, 48, 69; 24:7.—John (FGrosheide, Υἱὸς τ. ἀνθρ. in het Evang. naar Joh.: TSt 35, 1917, 242–48; HDieckmann, D. Sohn des Menschen im J: Scholastik 2, 1927, 229–47; HWindisch, ZNW 30, ’31, 215–33; 31, ’32, 199–204; WMichaelis, TLZ 85, ’60, 561–78 [Jesus’ earthly presence]) 1:51; 3:13, 14; 5:27 (BVawter, Ezekiel and John, CBQ 26, ’64, 450–58); 6:27, 53, 62; 8:28; 9:35; 12:23, 34; 13:31. Whether the component of fragility (suggested by OT usage in ref. to the brief span of human life and the ills to which it falls heir) or high status (suggested by traditions that appear dependent on Da 7:13, which refers to one ‘like a human being’), or a blend of the two dominates a specific occurrence can be determined only by careful exegesis that in addition to extra-biblical traditions takes account of the total literary structure of the document in which it occurs. Much neglected in the discussion is the probability of prophetic association suggested by the form of address Ezk 2:1 al. (like the OT prophet [Ezk 3:4–11] Jesus encounters resistance).—On Israelite thought contemporary w. Jesus and alleged knowledge of a heavenly being looked upon as a ‘Son of Man’ or ‘Man’, who exercises Messianic functions such as judging the world (metaph., pictorial passages in En 46–48; 4 Esdr 13:3, 51f) s. Bousset, Rel.³ 352–55; NMessel, D. Menschensohn in d. Bilderreden d. Hen. 1922; ESjöberg, Kenna 1 Henok och 4 Esra tanken på den lidande Människosonen? Sv. Ex. Årsb. 5, ’40, 163–83, D. Menschensohn im äth. Hen. ’46. This view is in some way connected w. Da 7:13; acc. to some it derives its real content fr. an eschatological tradition that ultimately goes back to Iran (WBousset, Hauptprobleme der Gnosis 1907, 160–223; Reitzenstein, Erlösungsmyst. 119ff, ZNW 20, 1921, 18–22, Mysterienrel.³ 418ff; Clemen² 72ff; CKraeling, Anthropos and Son of Man: A Study in the Religious Syncretism of the Hellenistic Orient 1927); acc. to this tradition the First Man was deified; he will return in the last times and usher in the Kingdom of God.—Outside the gospels: Ac 7:56 (v.l. τοῦ θεοῦ; GKilpatrick, TZ 21, ’65, 209); Rv 1:13; 14:14 (both after Da 7:13; sim. allusion to Da in Just., D. 31, 1). The quot. fr. Ps 8:5 in Hb 2:6 prob. does not belong here, since there is no emphasis laid on υἱὸς ἀνθρώπου. In IEph 20:2 Jesus is described as υἱὸς ἀνθρώπου καὶ υἱὸς θεοῦ. Differently B 12:10 Ἰησοῦς, οὐχὶ υἱὸς ἀνθρώπου ἀλλὰ υἱὸς τοῦ θεοῦ Jesus, not a man’s son, but Son of God.—HLietzmann, Der Menschensohn 1896; Dalman, Worte 191–219 (Eng. tr., 234–67); Wlh., Einl.² 123–30; PFiebig, Der Menschensohn 1901; NSchmidt, The Prophet of Nazareth 1905, 94–134, Recent Study of the Term ‘Son of Man’: JBL 45, 1926, 326–49; FTillmann, Der Menschensohn 1907; EKühl, Das Selbstbewusstsein Jesu 1907, 65ff; HHoltzmann, Das messianische Bewusstsein Jesu, 1907, 49–75 (lit.), Ntl. Theologie² I 1911, 313–35; FBard, D. Sohn d. Menschen 1908; HGottsched, D. Menschensohn 1908; EAbbott, ‘The Son of Man’, etc., 1910; EHertlein, Die Menschensohnfrage im letzten Stadium 1911, ZNW 19, 1920, 46–48; JMoffatt, The Theology of the Gospels 1912, 150–63; WBousset, Kyrios Christos² 1921, 5–22 (the titles of the works by Wernle and Althaus opposing his first edition [1913], as well as Bousset’s answer, are found s.v. κύριος, end); DVölter, Jesus der Menschensohn 1914, Die Menschensohnfrage neu untersucht 1916; FSchulthess, ZNW 21, 1922, 247–50; Rtzst., Herr der Grösse 1919 (see also the works by the same author referred to above in this entry); EMeyer II 335ff; HGressmann, ZKG n.s. 4, 1922, 170ff, D. Messias 1929, 341ff; GDupont, Le Fils d’Homme 1924; APeake, The Messiah and the Son of Man 1924; MWagner, Der Menschensohn: NKZ 36, 1925, 245–78; Guillaume Baldensperger, Le Fils d’Homme: RHPR 5, 1925, 262–73; WBleibtreu, Jesu Selbstbez. als der Menschensohn: StKr 98/99, 1926, 164–211; AvGall, Βασιλεία τοῦ θεοῦ 1926; OProcksch, D. Menschensohn als Gottessohn: Christentum u. Wissensch. 3, 1927, 425–43; 473–81; CMontefiore, The Synoptic Gospels² 1927 I 64–80; ROtto, Reich Gottes u. Menschensohn ’34, Eng. tr. The Kgdm. of God and the Son of Man, tr. Filson and Woolf² ’43; EWechssler, Hellas im Ev. ’36, 332ff; PParker, The Mng. of ‘Son of Man’: JBL 60, ’41, 151–57; HSharman, Son of Man and Kingdom of God ’43; JCampbell, The Origin and Mng. of the Term Son of Man: JTS 48, ’47, 145–55; HRiesenfeld, Jésus Transfiguré ’47, 307–13 (survey and lit.); TManson, ConNeot 11, ’47, 138–46 (Son of Man=Jesus and his disciples in Mk 2:27f); GDuncan, Jesus, Son of Man ’47, 135–53 (survey); JBowman, ET 59, ’47/48, 283–88 (background); MBlack, ET 60, ’48f, 11–15; 32–36; GKnight, Fr. Moses to Paul ’49, 163–72 (survey); TNicklin, Gospel Gleanings ’50, 237–50; TManson (Da, En and gospels), BJRL 32, ’50, 171–93; TPreiss, Le Fils d’Homme: ÉThR 26/3, ’51, Life in Christ, ’54, 43–60; SMowinckel, He That Cometh, tr. Anderson, ’54, 346–450; GIber, Überlieferungsgesch. Unters. z. Begriff des Menschensohnes im NT, diss. Heidelb. ’53; ESjöberg, D. verborgene Menschensohn in den Ev. ’55; WGrundmann, ZNW 47, ’56, 113–33; HRiesenfeld, The Mythological Backgrd. of NT Christology, CHDodd Festschr. ’56, 81–95; PhVielhauer, Gottesreich u. Menschensohn in d. Verk. Jesu, GDehn Festschr. ’57, 51–79; ESidebottom, The Son of Man in J, ET 68, ’57, 231–35; 280–83; AHiggins, Son of Man- Forschung since (Manson’s) ‘The Teaching of Jesus’: NT Essays (TW Manson memorial vol.) ’59, 119–35; HTödt, D. Menschensohn in d. synopt. Überl. ’59 (tr. Barton ’65); JMuilenburg, JBL 79, ’60, 197–209 (Da, En); ESchweizer, JBL 79, ’60, 119–29 and NTS 9, ’63, 256–61; BvIersel, ‘Der Sohn’ in den synopt. Jesusworten, ’61 (community?); MBlack, BJRL 45, ’63, 305–18; FBorsch, ATR 45, ’63, 174–90; AHiggins, Jesus and the Son of Man, ’64; RFormesyn, NovT 8, ’66, 1–35 (barnasha=‘I’); SSandmel, HSilver Festschr. ’63, 355–67; JJeremias, Die älteste Schicht der Menschensohn-Logien, ZNW 58, ’67, 159–72; GVermes, MBlack, Aram. Approach³, ’67, 310–30; BLindars, The New Look on the Son of Man: BJRL 63, ’81, 437–62; WWalker, The Son of Man, Some Recent Developments CBQ 45, ’83, 584–607; JDonahue, Recent Studies on the Origin of ‘Son of Man’ in the Gospels, CBQ 48, ’86, 584–607; DBurkitt, The Nontitular Son of Man, A History and Critique: NTS 40, ’94 504–21 (lit.); JEllington, BT 40, ’89, 201–8; RGordon, Anthropos: 108–13.—B. 105; DELG. M-M. EDNT. TW. Sv.

   1) Biological and Social Brain Development

   Among the higher mammals the great development of neocortex occurs.

   In each group of mammals there is a steady increase in the area of the association cortex from the most primitive to the evolutionarily most recent type; there is an increase in the number of neurons and their connections. The degree of consciousness of an organism is some function of neuronal cell number and connectivity, perhaps of neurons of a particular type in association cortex regions. This function is of a threshold type such that there is a significant quantitative break with the emergence of humans. Although the importance of language and the argument that it is genetically specified and unique to humans must be reconsidered in the light of the recent evidence as to the possibility of teaching chimpanzees, if not to speak, then to manipulate symbolic words and phrases, there are a number of unique human features which combine to make the transition not merely quantitative, but also qualitative. In particular these include the social, productive nature of human existence, and the range and extent of the human capacity to communicate. These features have made human history not so much one of biological but of social evolution, of continuous cultural transformation. (Rose, 1976, pp. 180-181)

   2) Distinctive Evolutionary Properties of the Brain

   [S]ome particular property of higher primate and cetacean brains did not evolve until recently. But what was that property? I can suggest at least four possibilities...: (1) Never before was there a brain so massive; (2) Never before was there a brain with so large a ratio of brain to body mass; (3) Never before was there a brain with certain functional units (large frontal and temporal lobes, for example); (4) Never before was there a brain with so many neural connections or synapses.... Explanations 1, 2 and 4 argue that a quantitative change produced a qualitative change. It does not seem to me that a crisp choice among these four alternatives can be made at the present time, and I suspect that the truth will actually embrace most or all of these possibilities. (Sagan, 1978, pp. 107-109)

   3) The Evolutionary Increase in the Size of the Main Areas of the Brain

   The crucial change in the human brain in this million years or so has not been so much the increase in size by a factor of three, but the concentration of that increase in three or four main areas. The visual area has increased considerably, and, compared with the chimpanzee, the actual density of human brain cells is at least 50 percent greater. A second increase has taken place in the area of manipulation of the hand, which is natural since we are much more hand-driven animals than monkeys and apes. Another main increase has taken place in the temporal lobe, in which visual memory, integration, and speech all lie fairly close together. And the fourth great increase has taken place in the frontal lobes. Their function is extremely difficult to understand... ; but it is clear that they're largely responsible for the ability to initiate a task, to be attentive while it is being done, and to persevere with it. (Bronowski, 1978, pp. 23-24)

   4) The Human Brain and Ethical Principles

   The human brain works however it works. Wishing for it to work in some way as a shortcut to justifying some ethical principle undermines both the science and the ethics (for what happens to the principle if the scientific facts turn out to go the other way?). (Pinker, 1994, p. 427)