Them That Are Without 
For what have I to do to judge them also that are without? do not ye judge them that are within? But them that are without God judgeth. Therefore put away from among yourselves that wicked person. 
(1 Corinthians 5:12-13)
A short while ago, while at the birthday party of a professing Christian, a door of opportunity was opened for me to witness to, it turned out to be, an agnostic who stated that all roads lead to God, a smoking, drinking lady charismatic who stated "you are so judgmental; S.o.o legalistic" and an Italian gentleman who naturally was proud of being a Roman Catholic. You can imagine that we had quite a torrid time together, to the extent that all the other party goers, including the host, professing Christians and pagans, hurriedly left the scene. 
You can imagine that it was rather difficult to face three accusers at once and try and explain God's truths at the same time. However, even though I only have one mouth and though after a while the Catholic stumped off after reviling me about the subject of this article, certain of God's truths were made known and the people concerned were shown. On that day they cannot plead ignorance before God. 
Also the fact that I was reviled by all three I count as a blessing and thank God for the words of Jesus: 
Blessed are ye, when men shall revile you, and persecute you, and shall say all manner of evil against you falsely, for my sake. Rejoice, and be exceeding glad: for great is your reward in heaven: for so persecuted they the prophets which were before you. 
(Matthew 5:11-12)
However, when stating that certain people had no hope of reaching heaven, of repenting, mentioning Esau, they all wanted to talk together. The charismatic angrily retorted that this was Old Testament and didn't apply today because Jesus loves us; until it became apparent that the words quoted came from the New Testament: 
Looking diligently lest any man fail of the grace of God; lest any root of bitterness springing up trouble you, and thereby many be defiled; Lest there be any fornicator, or profane person, as Esau, who for one morsel of meat sold his birthright. For ye know how that afterward, when he would have inherited the blessing, he was rejected: for he found no place of repentance, though he sought it carefully with tears. 
(Hebrews 12:15-17)
The Roman Catholic stated that God would accept anyone that came to Him and would turn none away, then walked off in disgust. 
The next day, after a prompting of the Holy Spirit with the phrase "would have all come to a knowledge of the truth", it was realised that this prompting had to be followed through. 
While the following scripture is still not fully understood by this author, 
And the spirits of the prophets are subject to the prophets. 
(1 Corinthians 14:32)
an attempt will be made to give an unbiased teaching with the scriptures to hand. 
The following scriptures seem to show that God will accept anybody that comes to Him: 
I exhort therefore, that, first of all, supplications, prayers, intercessions, and giving of thanks, be made for all men; For kings, and for all that are in authority; that we may lead a quiet and peaceable life in all godliness and honesty. For this is good and acceptable in the sight of God our Saviour; Who will have all men to be saved, and to come unto the knowledge of the truth. For there is one God, and one mediator between God and men, the man Christ Jesus; Who gave himself a ransom for all, to be testified in due time. 
(1 Timothy 2:1-6)
And this is life eternal, that they might know thee the only true God, and Jesus Christ, whom thou hast sent. 
(John 17:3)
Have I any pleasure at all that the wicked should die? saith the Lord GOD: and not that he should return from his ways, and live? 
(Ezekiel 18:23) 
While the agnostic believes that all roads lead to God; and Roman Catholics, that if we become Catholics we will know the truth and be saved, we know that we will be saved only if we follow God's rules. 
Expanding on the Ezekiel passage:
The soul that sinneth, it shall die. The son shall not bear the iniquity of the father, neither shall the father bear the iniquity of the son: the righteousness of the righteous shall be upon him, and the wickedness of the wicked shall be upon him. But if the wicked will turn from all his sins that he hath committed, and keep all my statutes, and do that which is lawful and right, he shall surely live, he shall not die. All his transgressions that he hath committed, they shall not be mentioned unto him: in his righteousness that he hath done he shall live. Have I any pleasure at all that the wicked should die? saith the Lord GOD: and not that he should return from his ways, and live? But when the righteous turneth away from his righteousness, and committeth iniquity, and doeth according to all the abominations that the wicked man doeth, shall he live? All his righteousness that he hath done shall not be mentioned: in his trespass that he hath trespassed, and in his sin that he hath sinned, in them shall he die. Yet ye say, The way of the Lord is not equal. Hear now, O house of Israel; Is not my way equal? are not your ways unequal? When a righteous man turneth away from his righteousness, and committeth iniquity, and dieth in them; for his iniquity that he hath done shall he die. Again, when the wicked man turneth away from his wickedness that he hath committed, and doeth that which is lawful and right, he shall save his soul alive. Because he considereth, and turneth away from all his transgressions that he hath committed, he shall surely live, he shall not die. Yet saith the house of Israel, The way of the Lord is not equal. O house of Israel, are not my ways equal? are not your ways unequal? Therefore I will judge you, O house of Israel, every one according to his ways, saith the Lord GOD. Repent, and turn yourselves from all your transgressions; so iniquity shall not be your ruin. 
(Ezekiel 18:20-30)
Expanding on the passage in John:
These words spake Jesus, and lifted up his eyes to heaven, and said, Father, the hour is come; glorify thy Son, that thy Son also may glorify thee: As thou hast given him power over all flesh, that he should give eternal life to as many as thou hast given him. And this is life eternal, that they might know thee the only true God, and Jesus Christ, whom thou hast sent. I have glorified thee on the earth: I have finished the work which thou gavest me to do. And now, O Father, glorify thou me with thine own self with the glory which I had with thee before the world was. I have manifested thy name unto the men which thou gavest me out of the world: thine they were, and thou gavest them me; and they have kept thy word. Now they have known that all things whatsoever thou hast given me are of thee. For I have given unto them the words which thou gavest me; and they have received them, and have known surely that I came out from thee, and they have believed that thou didst send me. I pray for them: I pray not for the world, but for them which thou hast given me; for they are thine. 
(John 17:1-9)
So we see that God would have all men come to the knowledge of the truth, but that it is man's choice as to whether he follows God's rules or not. 

After all, this is why the Bible was created in the first place - that all may come to know Him who created all things, including us. 
It is very important to note from the passage in I Timothy that our prayers can affect the salvation of others. I know a man whose mother prayed for him for over twenty five years and he met Jesus Christ through the Holy Spirit when in his fifties. 

Does God ever state that He chooses who He will? 
Samuel also said unto Saul, The LORD sent me to anoint thee to be king over his people, over Israel: now therefore hearken thou unto the voice of the words of the LORD. Thus saith the LORD of hosts, I remember that which Amalek did to Israel, how he laid wait for him in the way, when he came up from Egypt. Now go and smite Amalek, and utterly destroy all that they have, and spare them not; but slay both man and woman, infant and suckling, ox and sheep, camel and ass. And Saul gathered the people together, and numbered them in Telaim, two hundred thousand footmen, and ten thousand men of Judah. And Saul came to a city of Amalek, and laid wait in the valley. And Saul said unto the Kenites, Go, depart, get you down from among the Amalekites, lest I destroy you with them: for ye shewed kindness to all the children of Israel, when they came up out of Egypt. So the Kenites departed from among the Amalekites. And Saul smote the Amalekites from Havilah until thou comest to Shur, that is over against Egypt. And he took Agag the king of the Amalekites alive, and utterly destroyed all the people with the edge of the sword. But Saul and the people spared Agag, and the best of the sheep, and of the oxen, and of the fatlings, and the lambs, and all that was good, and would not utterly destroy them: but every thing that was vile and refuse, that they destroyed utterly. Then came the word of the LORD unto Samuel, saying, It repenteth me that I have set up Saul to be king: for he is turned back from following me, and hath not performed my commandments. And it grieved Samuel; and he cried unto the LORD all night. And when Samuel rose early to meet Saul in the morning, it was told Samuel, saying, Saul came to Carmel, and, behold, he set him up a place, and is gone about, and passed on, and gone down to Gilgal. And Samuel came to Saul: and Saul said unto him, Blessed be thou of the LORD: I have performed the commandment of the LORD. And Samuel said, What meaneth then this bleating of the sheep in mine ears, and the lowing of the oxen which I hear? And Saul said, They have brought them from the Amalekites: for the people spared the best of the sheep and of the oxen, to sacrifice unto the LORD thy God; and the rest we have utterly destroyed. Then Samuel said unto Saul, Stay, and I will tell thee what the LORD hath said to me this night. And he said unto him, Say on. And Samuel said, When thou wast little in thine own sight, wast thou not made the head of the tribes of Israel, and the LORD anointed thee king over Israel? And the LORD sent thee on a journey, and said, Go and utterly destroy the sinners the Amalekites, and fight against them until they be consumed. Wherefore then didst thou not obey the voice of the LORD, but didst fly upon the spoil, and didst evil in the sight of the LORD? And Saul said unto Samuel, Yea, I have obeyed the voice of the LORD, and have gone the way which the LORD sent me, and have brought Agag the king of Amalek, and have utterly destroyed the Amalekites. But the people took of the spoil, sheep and oxen, the chief of the things which should have been utterly destroyed, to sacrifice unto the LORD thy God in Gilgal. And Samuel said, Hath the LORD as great delight in burnt offerings and sacrifices, as in obeying the voice of the LORD? Behold, to obey is better than sacrifice, and to hearken than the fat of rams. For rebellion is as the sin of witchcraft, and stubbornness is as iniquity and idolatry. Because thou hast rejected the word of the LORD, he hath also rejected thee from being king. 
(1 Samuel 15:1-23)
Hear this word that the LORD hath spoken against you, O children of Israel, against the whole family which I brought up from the land of Egypt, saying, You only have I known of all the families of the earth: therefore I will punish you for all your iniquities. 
(Amos 3:1-2)
Doesn't this mean that all others are not recognised by God and He doesn't care what happens to them? 
At that time Jesus answered and said, I thank thee, O Father, Lord of heaven and earth, because thou hast hid these things from the wise and prudent, and hast revealed them unto babes. Even so, Father: for so it seemed good in thy sight. 
(Matthew 11:25-26) 
But if our gospel be hid, it is hid to them that are lost: In whom the god of this world hath blinded the minds of them which believe not, lest the light of the glorious gospel of Christ, who is the image of God, should shine unto them. 
(2 Corinthians 4:3-4) 
That at that time ye were without Christ, being aliens from the commonwealth of Israel, and strangers from the covenants of promise, having no hope, and without God in the world:  
(Ephesians 2:12)
But I would not have you to be ignorant, brethren, concerning them which are asleep, that ye sorrow not, even as others which have no hope
(1 Thessalonians 4:13)
The answer seems to lie in this passage of scripture:
For this is the word of promise, At this time will I come, and Sara shall have a son. And not only this; but when Rebecca also had conceived by one, even by our father Isaac; (For the children being not yet born, neither having done any good or evil, that the purpose of God according to election might stand, not of works, but of him that calleth;) It was said unto her, The elder shall serve the younger. As it is written, Jacob have I loved, but Esau have I hated. What shall we say then? Is there unrighteousness with God? God forbid. For he saith to Moses, I will have mercy on whom I will have mercy, and I will have compassion on whom I will have compassion. So then it is not of him that willeth, nor of him that runneth, but of God that sheweth mercy. For the scripture saith unto Pharaoh, Even for this same purpose have I raised thee up, that I might shew my power in thee, and that my name might be declared throughout all the earth. Therefore hath he mercy on whom he will have mercy, and whom he will he hardeneth. Thou wilt say then unto me, Why doth he yet find fault? For who hath resisted his will? Nay but, O man, who art thou that repliest against God? Shall the thing formed say to him that formed it, Why hast thou made me thus? Hath not the potter power over the clay, of the same lump to make one vessel unto honour, and another unto dishonour? 
(Romans 9:9-21)
Like the people wanting to know about the timing of the Rapture; surely this subject is also a mystery that we must leave to God until the time comes for Him to show us. 

Let us carry on with that which we can understand to do; feed His sheep. 
However, let's continually pray for those we know and whose salvation we are concerned about, because He promises that He hears our supplications.
O the depth of the riches both of the wisdom and knowledge of God! how unsearchable are his judgments, and his ways past finding out! For who hath known the mind of the Lord? or who hath been his counsellor? Or who hath first given to him, and it shall be recompensed unto him again? For of him, and through him, and to him, are all things: to whom be glory for ever. Amen. 
(Romans 11:33-36)