Man, by his fall into a state of sin, has wholly lost all ability of will to any spiritual good accompanying salvation: so as, a natural man, being altogether averse from that good, and dead in sin, is not able, by his own strength, to convert himself, or to prepare himself thereunto.

Westminster Confession of Faith IX.3

In Bondage of the Will, Martin Luther said,

"Free-will is an empty term, whose reality is lost. And a lost liberty, according to my grammar, is no liberty at all."

Is it good to save a life? Yes, of course. Can an unregenerate man become a doctor and save lives? Yes, of course. So, if an unregenerate man can save lives and do good things, such as that, doesn't that cancel this idea of Total Depravity? No.

"For God so loved the world that He gave His only begotten Son, that whoever believes in Him should not perish but have everlasting life. For God did not send His Son into the world to condemn the world, but that the world through Him might be saved. He who believes in Him is not condemned; but he who does not believe is condemned already, because he has not believed in the name of the only begotten Son of God. And this is the condemnation, that the light has come into the world, and men loved darkness rather than light, because their deeds were evil. For everyone practicing evil hates the light and does not come to the light, lest his deeds should be exposed. But he who does the truth comes to the light, that his deeds may be clearly seen, that they have been done in God."

John 3:16-21

"I can of Myself do nothing. As I hear, I judge; and My judgment is righteous, because I do not seek My own will but the will of the Father who sent Me. If I bear witness of Myself, My witness is not true. There is another who bears witness of Me, and I know that the witness which He witnesses of Me is true. You have sent to John, and he has borne witness to the truth. Yet I do not receive testimony from man, but I say these things that you may be saved. He was the burning and shining lamp, and you were willing for a time to rejoice in his light. But I have a greater witness than John's; for the works which the Father has given Me to finish--the very works that I do--bear witness of Me, that the Father has sent Me. And the Father Himself, who sent Me, has testified of Me. You have neither heard His voice at any time, nor seen His form. But you do not have His word abiding in you, because whom He sent, Him you do not believe. You search the Scriptures, for in them you think you have eternal life; and these are they which testify of Me. But you are not willing to come to Me that you may have life. I do not receive honor from men. But I know you, that you do not have the love of God in you. I have come in My Father's name, and you do not receive Me; if another comes in his own name, him you will receive. How can you believe, who receive honor from one another, and do not seek the honor that comes from the only God? Do not think that I shall accuse you to the Father; there is one who accuses you--Moses, in whom you trust. For if you believed Moses, you would believe Me; for he wrote about Me. But if you do not believe his writings, how will you believe My words?"

John 5:30-47

The problem is man's will. Man's will is Totally Depraved:

There is therefore now no condemnation to those who are in Christ Jesus, who do not walk according to the flesh, but according to the Spirit. For the law of the Spirit of life in Christ Jesus has made me free from the law of sin and death. For what the law could not do in that it was weak through the flesh, God did by sending His own Son in the likeness of sinful flesh, on account of sin: He condemned sin in the flesh, that the righteous requirement of the law might be fulfilled in us who do not walk according to the flesh but according to the Spirit. For those who live according to the flesh set their minds on the things of the flesh, but those who live according to the Spirit, the things of the Spirit. For to be carnally minded is death, but to be spiritually minded is life and peace. Because the carnal mind is enmity against God; for it is not subject to the law of God, nor indeed can be. So then, those who are in the flesh cannot please God.

Romans 8:1-8

When we compare our acts with the acts of others, we can look pretty good, sometimes. But when you compare your little candle of good deeds to the vast sun of God's holiness - and, frankly, if you are unregenerate, the candle is unlit - the results are quite different:

"Are you the first man that was born?
Or were you brought forth before the hills?
Have you listened in the council of God?
And do you limit wisdom to yourself?
What do you know that we do not know?
What do you understand that is not clear to us?
Both the gray-haired and the aged are among us,
older than your father.
Are the consolations of God too small for you,
or the word that deals gently with you?
Why does your heart carry you away,
and why do your eyes flash,
that you turn your spirit against God,
and let such words go out of your mouth?
What is man, that he can be clean?
Or he that is born of a woman, that he can be righteous?
Behold, God puts no trust in his holy ones,
and the heavens are not clean in his sight;
how much less one who is abominable and corrupt,
a man who drinks iniquity like water!
Job 15:7-16

Ouch! So, what if this abominable and corrupt man hears the gospel or goes to church?

But the natural man does not receive the things of the Spirit of God, for they are foolishness to him; nor can he know them, because they are spiritually discerned. But he who is spiritual judges all things, yet he himself is rightly judged by no one. For "who has known the mind of the LORD that he may instruct Him?" But we have the mind of Christ.

1 Corinthians 2:14-16

This is as good as it gets:

This I say, therefore, and testify in the Lord, that you should no longer walk as the rest of the Gentiles walk, in the futility of their mind, having their understanding darkened, being alienated from the life of God, because of the ignorance that is in them, because of the blindness of their heart; who, being past feeling, have given themselves over to lewdness, to work all uncleanness with greediness.

Ephesians 4:17-19

For the message of the cross is foolishness to those who are perishing, but to us who are being saved it is the power of God. For it is written:

"I will destroy the wisdom of the wise,
And bring to nothing the understanding of the prudent."

Where is the wise? Where is the scribe? Where is the disputer of this age? Has not God made foolish the wisdom of this world? For since, in the wisdom of God, the world through wisdom did not know God, it pleased God through the foolishness of the message preached to save those who believe. For Jews request a sign, and Greeks seek after wisdom; but we preach Christ crucified, to the Jews a stumbling block and to the Greeks foolishness, but to those who are called, both Jews and Greeks, Christ the power of God and the wisdom of God. Because the foolishness of God is wiser than men, and the weakness of God is stronger than men.

1 Corinthians 1:18-25

However, we speak wisdom among those who are mature, yet not the wisdom of this age, nor of the rulers of this age, who are coming to nothing. But we speak the wisdom of God in a mystery, the hidden wisdom which God ordained before the ages for our glory, which none of the rulers of this age knew; for had they known, they would not have crucified the Lord of glory. But as it is written:

"Eye has not seen, nor ear heard,
Nor have entered into the heart of man
The things which God has prepared for those who love Him."

But God has revealed them to us through His Spirit. For the Spirit searches all things, yes, the deep things of God. For what man knows the things of a man except the spirit of the man which is in him? Even so no one knows the things of God except the Spirit of God. Now we have received, not the spirit of the world, but the Spirit who is from God, that we might know the things that have been freely given to us by God. These things we also speak, not in words which man's wisdom teaches but which the Holy Spirit teaches, comparing spiritual things with spiritual.

1 Corinthians 2:6-13

Here's a passage that is regularly taken out of context. This is not about heaven, even if it did make for a popular song by the Gaithers. This goes with verses 14-16, which are quoted above. This speaks of the spiritual realities of this life.

At that time Jesus answered and said, "I thank You, Father, Lord of heaven and earth, that You have hidden these things from the wise and prudent and have revealed them to babes. Even so, Father, for so it seemed good in Your sight. All things have been delivered to Me by My Father, and no one knows the Son except the Father. Nor does anyone know the Father except the Son, and the one to whom the Son wills to reveal Him. Come to Me, all you who labor and are heavy laden, and I will give you rest. Take My yoke upon you and learn from Me, for I am gentle and lowly in heart, and you will find rest for your souls. For My yoke is easy and My burden is light."

Matthew 11:25-30

That's huge! Jesus said that this abominable and corrupt man does not know God and can not know God unless Jesus chooses to reveal Himself to him.
Consider Paul's conversion:

"While thus occupied, as I journeyed to Damascus with authority and commission from the chief priests, at midday, O king, along the road I saw a light from heaven, brighter than the sun, shining around me and those who journeyed with me. And when we all had fallen to the ground, I heard a voice speaking to me and saying in the Hebrew language, "Saul, Saul, why are you persecuting Me? It is hard for you to kick against the goads.' So I said, "Who are You, Lord?' And He said, "I am Jesus, whom you are persecuting. But rise and stand on your feet; for I have appeared to you for this purpose, to make you a minister and a witness both of the things which you have seen and of the things which I will yet reveal to you. I will deliver you from the Jewish people, as well as from the Gentiles, to whom I send you, to open their eyes, in order to turn them from darkness to light, and from the power of Satan to God, that they may receive forgiveness of sins and an inheritance among those who are sanctified by faith in Me.'

Acts 26:12-18

The following passage from John 8 illustrates all this very well. Notice how the Pharisees can only hear madness in Jesus' words. Also notice their self-righteousness.

Then Jesus said to those Jews who believed Him, "If you abide in My word, you are My disciples indeed. And you shall know the truth, and the truth shall make you free."
They answered Him, "We are Abraham's descendants, and have never been in bondage to anyone. How can You say, "You will be made free'?"
Jesus answered them, "Most assuredly, I say to you, whoever commits sin is a slave of sin. And a slave does not abide in the house forever, but a son abides forever. Therefore if the Son makes you free, you shall be free indeed.
They answered and said to Him, "Abraham is our father."
Jesus said to them, "If you were Abraham's children, you would do the works of Abraham. But now you seek to kill Me, a Man who has told you the truth which I heard from God. Abraham did not do this. You do the deeds of your father."
Then they said to Him, "We were not born of fornication; we have one Father--God."
Jesus said to them, "If God were your Father, you would love Me, for I proceeded forth and came from God; nor have I come of Myself, but He sent Me. Why do you not understand My speech? Because you are not able to listen to My word. You are of your father the devil, and the desires of your father you want to do. He was a murderer from the beginning, and does not stand in the truth, because there is no truth in him. When he speaks a lie, he speaks from his own resources, for he is a liar and the father of it. But because I tell the truth, you do not believe Me. Which of you convicts Me of sin? And if I tell the truth, why do you not believe Me? He who is of God hears God's words; therefore you do not hear, because you are not of God."
Then the Jews answered and said to Him, "Do we not say rightly that You are a Samaritan and have a demon?"
Jesus answered, "I do not have a demon; but I honor My Father, and you dishonor Me. And I do not seek My own glory; there is One who seeks and judges. Most assuredly, I say to you, if anyone keeps My word he shall never see death."
Then the Jews said to Him, "Now we know that You have a demon! Abraham is dead, and the prophets; and You say, "If anyone keeps My word he shall never taste death.' Are You greater than our father Abraham, who is dead? And the prophets are dead. Who do You make Yourself out to be?"
Jesus answered, "If I honor Myself, My honor is nothing. It is My Father who honors Me, of whom you say that He is our God. Yet you have not known Him, but I know Him. And if I say, "I do not know Him,' I shall be a liar like you; but I do know Him and keep His word. Your father Abraham rejoiced to see My day, and he saw it and was glad."
Then the Jews said to Him, "You are not yet fifty years old, and have You seen Abraham?"
Jesus said to them, "Most assuredly, I say to you, before Abraham was, I AM."
Then they took up stones to throw at Him; but Jesus hid Himself and went out of the temple, going through the midst of them, and so passed by.

John 8:31-59