Encourage
Parakaleo vs. Paraklesis
from Greek.
parakaléō
(from 3844 /pará, “from close-beside” and 2564 /kaléō, “to call”) – properly, “make a call” from being “close-up and personal.” 3870 /parakaléō (“personally make a call”) refers to believers offering up evidence that stands up in God’s court.
paraklésis
properly, a call (urging), done by someone “close beside,” i.e. a personal exhortation that delivers the “evidence that stands up in God’s court.”
3874 (paráklēsis) is an “intimate call” that someone personally gives to deliver God’s verdict, i.e. “the close-call” that reveals how the Lord weighs in the relevant facts (evidence). 3874 /paráklēsis (“holy urging”) is used of the Lord directly motivating and inspiring believers to carry out His plan, delivering His particular message to someone else. The core-meaning of 3874 /paráklēsis (“personal urging”) is shaped by the individual context, so it can refer to: exhortation, warning, encouragement (comfort), etc.
Barnes on Hebrews 3:13
That it is their duty to do it “daily;” that is, constantly; see Hebrews 10:25; 1 Thessalonians 4:18; 1 Thessalonians 5:11; note, Romans 12:8. While this is the special duty of the ministers of the gospel 1 Timothy 6:2; 2 Timothy 4:2; Titus 2:6, Titus 2:15, it is also the duty of all the members of the churches, and a most important, but much-neglected duty.