From BiblePortal Wikipedia

Vine's Expository Dictionary of NT Words [1]

1: Καταργέω (Strong'S #2673 — Verb — katargeo — kat-arg-eh'-o )

lit., "to reduce to inactivity" (kata, "down," argos, "inactive"), is translated "abolish" in  Ephesians 2:15;  2—Timothy 1:10 , in the RV only in  1—Corinthians 15:24,26 . It is rendered "is abolished" in the AV of  2—Corinthians 3:13; the RV corrects to "was passing away" (marg., "was being done away"). In this and similar words not loss of being is implied, but loss of well being.

 Luke 13:7 Romans 3:3 Romans 3:31 Romans 4:14 Galatians 3:17 Romans 6:6 Romans 7:2 Romans 7:6 1—Corinthians 1:28 1—Corinthians 2:6 1—Corinthians 6:13 1—Corinthians 13:8,10 1—Corinthians 13:11 1—Corinthians 15:24 1—Corinthians 15:26 2—Corinthians 3:7 2—Corinthians 3:11,13 2—Corinthians 3:14 Galatians 5:4 Galatians 5:11 Ephesians 2:15 2—Thessalonians 2:8 2—Timothy 1:10 Hebrews 2:14CeaseCumberDestroyDoNoughtPut

King James Dictionary [2]

Abol'Ish, L abolco from ab and oleo, olesco, to grow.

1. To make void to annul to abrogate applied chiefly and appropriately to established laws, contracts, rites, customs and institutions - as to abolish laws by a repeal, actual or virtual. 2. To destroy, or put an end to as to abolish idols. ( Isaiah 2) To abolish death (2 Timothy 1) This sense is not common. To abolish posterity, in the translation of Pausanias, Lib. 3. Ca. 6, is hardly allowable.

Webster's Dictionary [3]

(1): (v. t.) To do away with wholly; to annul; to make void; - said of laws, customs, institutions, governments, etc.; as, to abolish slavery, to abolish folly.

(2): (v. t.) To put an end to, or destroy, as a physical objects; to wipe out.

International Standard Bible Encyclopedia [4]

a - bol´ish ( חתת , ḥāthath , "to be broken down," "made void," "My righteousness shall not be abolished" ( Isaiah 51:6 ), i.e. as shown in God's faithfulness to His promises; מחה , māḥāh , "to erase," "blot out," "that your works may be abolished" ( Ezekiel 6:6 ) καταργέω , katargéō , "to render inoperative," "bring to nought," "make of no effect," "when he shall have abolished all rule" ( 1 Corinthians 15:24 ), every power opposed to God's kingdom; "having abolished in his flesh the enmity" ( Ephesians 2:15 )): By His death, Christ did away with the race separation due to historic ordinances and ceremonial laws (as of circumcision and uncircumcision); through the cross He wrought the reconciliation, and secured that common access to the Father by which the union is maintained.

"Our Saviour Christ Jesus ... abolished death" ( 2 Timothy 1:10 ). Men still die, "it is appointed unto men" ( Hebrews 9:27 ), but the fear of death as having power to terminate or affect our personal existence and our union with God, as a dreadful stepping out into the unknown and unknowable (into Sheol of the impenetrable gloom), and as introducing us to a final and irreversible judgment, has been removed. Christ has taken out of it its sting ( 1 Corinthians 15:55 ) and all its hurtful power ( Hebrews 2:14 ); has shown it to be under His control ( Revelation 1:18 ), brought to light the incorruptible life beyond, and declared the ultimate destruction of death ( 1 Corinthians 15:26; compare  Revelation 20:14 ). The Greek (, katargeı̄tai ) indicates that the process of destruction was then going on.