From the perspective of The Bible, a reprobate is someone who refuses to make good use of the understanding of the Word of God provided to them, "these also resist the Truth: men of corrupt minds, reprobate concerning the faith." (2 Timothy 3:8 KJV). Reprobate is used to translate the originate Greek word of the New Testament, pronounced, ad-ock-ee-mos, meaning rejected i.e. those who reject the Word of God will be rejected by God's Word in due time, as made plain by the Word of God (John 1:1,14), Jesus Christ: "He who rejects Me and does not receive My sayings has a judge; the Word that I have spoken will be his judge on the last day." (John 12:48 RSV)
Reprobates know better, but they don't do better, they "hold the Truth in unrighteousness":
For the wrath of God is revealed from heaven against all ungodliness and unrighteousness of men, who hold the Truth in unrighteousness; Because that which may be known of God is manifest in them; for God hath showed it unto them. For the invisible things of Him from the creation of the world are clearly seen, being understood by the things that are made, even His eternal power and Godhead; so that they are without excuse."
"Because that, when they knew God, they glorified Him not as God, neither were thankful; but became vain in their imaginations, and their foolish heart was darkened. Professing themselves to be wise, they became fools, And changed the glory of the uncorruptible God into an image made like to corruptible man, and to birds, and fourfooted beasts, and creeping things."
"Wherefore God also gave them up to uncleanness through the lusts of their own hearts, to dishonour their own bodies between themselves: Who changed the Truth of God into a lie, and worshipped and served the creature more than the Creator, who is blessed for ever. Amen."
"For this cause God gave them up unto vile affections: for even their women did change the natural use into that which is against nature: And likewise also the men, leaving the natural use of the woman, burned in their lust one toward another; men with men working that which is unseemly, and receiving in themselves that recompense of their error which was meet."
"And even as they did not like to retain God in their knowledge, God gave them over to a reprobate mind, to do those things which are not convenient; Being filled with all unrighteousness, fornication, wickedness, covetousness, maliciousness; full of envy, murder, debate, deceit, malignity; whisperers, Backbiters, haters of God, despiteful, proud, boasters, inventors of evil things, disobedient to parents, Without understanding, covenantbreakers, without natural affection, implacable, unmerciful: Who knowing the judgment of God, that they which commit such things are worthy of death, not only do the same, but have pleasure in them that do them." (Romans 1:18-32 KJV)
The reprobate is one that KNOWS what is right to do and KNOWS what is God's word and God's law AND His standard of holiness and righteousness but REFUSES to do it or change the life to line up with God's word, his will or his way. Essentially what they have done is reject God and His word to the point where God knows that they will NOT change and then HE in turn rejects them
IN all honesty a person given over to a reporbate mind would even CARE if they were given over.