The word for a castaway, worthless, unproved, unqualified or unfit is ἀδόκιμος and here is the BDAG information on it.

ἀδόκιμος, ον (Democr. et al.; also Polyb. 6, 25, 8; 16, 14, 9; ins, pap; Pr 25:4; Is 1:22) ‘not standing the test’, then unqualified, worthless, base of pers. (X., De Rep. Lac. 3, 3; Plut., Mor. 4c ἀνθρώποις ἀδοκίμοις ἐγχειρίζουσι τ. παῖδας; Herodian 7, 7, 5; Jos., C. Ap. 2, 236 ἀ. σοφισταί; Did., Gen. 122, 6) 1 Cor 9:27; ITr 12:3. 2 Cor 13:5–7 (on the self-affirmation cp. Demosth. 18, 111); ἀνὴρ ἀ. ἀπείραστος a man who is not tempted is unproved Agr 21. W. indication of the respect in which the test is not met ἀδόκιμοι περὶ τὴν πίστιν 2 Ti 3:8; πρὸς πᾶν ἔργον ἀγαθὸν ἀ. unfit for any good deed Tit 1:16.—Of things (Philo, Conf. Lingu. 198; PCairZen 176, 64 [III B.C.] of money) barren soil Hb 6:8. Of the gentile νοῦς in a play on words w. οὐ δοκιμάζειν Ro 1:28.—DELG s.v. δοκάω. TW. Spicq.

Democr Democr , phil., V/IV B.C.—List 5

et al. et al. = et alii (and others)

Polyb Polyb , III–II B.C.—List 5

ins Ins, ins = Inscription, Inschrift, inscription(s). Without a period, esp. in lists, as at the beginning of entries; the capitalized form is used in titles. In conjunction with literary works this abbr. refers to the title or description of contents.

pap pap = papyrus, -yri 

pers. pers. = person(s)

X. X. = Xenophon, V–IV B.C.—List 5

Plut Plut , I–II A.D.—List 5

Herodian Herodian = Herodianus Historicus, III A.D.—List 5

Jos. Jos. = Josephus. This abbr. used when follow by title; I A.D.—Lists 5

Did. Did. = Didymus Caecus (the Blind), commentator on OT books, IV A.D.—List 5

ITr ITr = Ignatius to the Trallians—List 1

cp. cp. = compare, freq. in ref. to citation fr. ancient texts

Demosth Demosth , IV B.C.—List 5

Agr Agr = Agraphon (non-canonical sayings of Jesus)—List 1

Philo Philo = P. of Alexandria, I B.C.–I A.D.—List 5

PCairZen PCairZen = Zenon Papyri, Catalogue général . . . du Musée du Caire—List 4

w. w. = with

DELG DELG = PChantraine, Dictionnaire étymologique de la langue grecque—List 6

s.v. s.v. = sub voce (under the word, look up the word)

TW TW = Theologisches Wörterbuch zum NT; tr. GBromiley, Theological Dictionary of the NT—List 6

Spicq Spicq = CS., Lexique théologique du Nouveau Testament—Lists 6

William Arndt et al., A Greek-English Lexicon of the New Testament and Other Early Christian Literature (Chicago: University of Chicago Press, 2000), 21.

 

Shop for BDAG on Logos

Get $100 off a Logos 10 base package (first-time base package purchasers only)                   Shop The Exclusive Offer for Logos 10 Save up to 20% on a Logos package, plus get five free bonus books.  10% off of various Logos packages + 5 free digital books  Shop for Publisher Spotlight Logos Monthly Free Book month of November 2023 Logos Bible Software Discount code PARTNERDISCOUNT10  Shop for Logos Monthly Sale Shop for Holiday Weekly Cyber Deals 2023 - Early Black Friday Deals on 19Logos save 15% off Bibles $25 or more with code BBS15    on FaithGateway Furnished by Rick Livermore Webmaster220 San Juan Capistrano California –  https://rick-livermore-on-blogger.blogspot.com/