What do you think 'Elect' means? Do you see any others that he chose for salvation?
In my opinion, which is not especially erudite, I believe that the best statement of the doctrine of election from a Calvinist perspective is in the Westminster Confession of Faith, and I also think that the scripture 'proofs' accompanying it are possibly the most useful.
Chapter 3 – Of God’s Eternal Decree
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III. By the decree of God, for the manifestation of His glory, some men and angels[6] are predestinated unto everlasting life; and others foreordained to everlasting death.[7]
IV. These angels and men, thus predestinated, and foreordained, are particularly and unchangeably designed, and their number so certain and definite, that it cannot be either increased or diminished.[8]
V. Those of mankind that are predestinated unto life, God, before the foundation of the world was laid, according to His eternal and immutable purpose, and the secret counsel and good pleasure of His will, has chosen, in Christ, unto everlasting glory,[9] out of His mere free grace and love, without any foresight of faith, or good works, or perseverance in either of them, or any other thing in the creature, as conditions, or causes moving Him thereunto;[10] and all to the praise of His glorious grace.[11]
VI. As God has appointed the elect unto glory, so has He, by the eternal and most free purpose of His will, foreordained all the means thereunto.[12] Wherefore, they who are elected, being fallen in Adam, are redeemed by Christ,[13] are effectually called unto faith in Christ by His Spirit working in due season, are justified, adopted, sanctified,[14] and kept by His power, through faith, unto salvation.[15] Neither are any other redeemed by Christ, effectually called, justified, adopted, sanctified, and saved, but the elect only.[16]
VII. The rest of mankind God was pleased, according to the unsearchable counsel of His own will, whereby He extends or withholds mercy, as He pleases, for the glory of His sovereign power over His creatures, to pass by; and to ordain them to dishonor and wrath for their sin, to the praise of His glorious justice.[17]
VIII. The doctrine of this high mystery of predestination is to be handled with special prudence and care,[18] that men, attending the will of God revealed in His Word, and yielding obedience thereunto, may, from the certainty of their effectual vocation, be assured of their eternal election.[19] So shall this doctrine afford matter of praise, reverence, and admiration of God;[20] and of humility, diligence, and abundant consolation to all that sincerely obey the Gospel.[21]
[7] ROM 9:22 What if God, willing to shew his wrath, and to make his power known, endured with much longsuffering the vessels of wrath fitted to destruction: 23 And that he might make known the riches of his glory on the vessels of mercy, which he had afore prepared unto glory. EPH 1:5 Having predestinated us unto the adoption of children by Jesus Christ to himself, according to the good pleasure of his will, 6 To the praise of the glory of his grace, wherein he hath made us accepted in the beloved. PRO 16:4 The Lord hath made all things for himself: yea, even the wicked for the day of evil.
[8] 2TI 2:19 Nevertheless the foundation of God standeth sure, having this seal, The Lord knoweth them that are his. And, Let every one that nameth the name of Christ depart from iniquity. JOH 13:18 I speak not of you all: I know whom I have chosen: but that the scripture may be fulfilled, He that eateth bread with me hath lifted up his heel against me.
[9] EPH 1:4 According as he hath chosen us in him before the foundation of the world, that we should be holy and without blame before him in love: 9 Having made known unto us the mystery of his will, according to his good pleasure which he hath purposed in himself: 11 In whom also we have obtained an inheritance, being predestinated according to the purpose of him who worketh all things after the counsel of his own wilL. ROM 8:30 Moreover whom he did predestinate, them he also called: and whom he called, them he also justified: and whom he justified, them he also glorified. 2TI 1:9 Who hath saved us, and called us with an holy calling, not according to our works, but according to his own purpose and grace, which was given us in Christ Jesus before the world began. 1TH 5:9 For God hath not appointed us to wrath, but to obtain salvation by our Lord Jesus ChrisT.
[10] ROM 9:11 (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 ; ) 13 As it is written, Jacob have I loved, but Esau have I hated. 16 So then it is not of him that willeth, nor of him that runneth, but of God that sheweth mercy. EPH 1:4 According as he hath chosen us in him before the foundation of the world, that we should be holy and without blame before him in love. 9 Having made known unto us the mystery of his will, according to his good pleasure which he hath purposed in himself.
[11]EPH. 1:6,12.
[12] 1PE 1:2 Elect according to the foreknowledge of God the Father, through sanctification of the Spirit, unto obedience and sprinkling of the blood of Jesus Christ: Grace unto you, and peace, be multiplied. EPH 1:4 According as he hath chosen us in him before the foundation of the world, that we should be holy and without blame before him in love: 5 Having predestinated us unto the adoption of children by Jesus Christ to himself, according to the good pleasure of his will. 2:10 For we are his workmanship, created in Christ Jesus unto good works, which God hath before ordained that we should walk in them. 2TH 2:13 But we are bound to give thanks alway to God for you, brethren beloved of the Lord, because God hath from the beginning chosen you to salvation through sanctification of the Spirit and belief of the truth.
[13] 1TH 5:9 For God hath not appointed us to wrath, but to obtain salvation by our Lord Jesus Christ, 10 Who died for us, that, whether we wake or sleep, we should live together with him. TIT 2:14 Who gave himself for us, that he might redeem us from all iniquity, and purify unto himself a peculiar people, zealous of good works.
[14] ROM 8:30 Moreover whom he did predestinate, them he also called: and whom he called, them he also justified: and whom he justified, them he also glorified. EPH 1:5 Having predestinated us unto the adoption of children by Jesus Christ to himself, according to the good pleasure of his will. 2TH 2:13 But we are bound to give thanks alway to God for you, brethren beloved of the Lord, because God hath from the beginning chosen you to salvation through sanctification of the Spirit and belief of the truth.
[15] 1PE 1:5 Who are kept by the power of God through faith unto salvation ready to be revealed in the last time.
[16] JOH 17:9 I pray for them: I pray not for the world, but for them which thou hast given me; for they are thine. ROM 8:28 And we know that all things work together for good to them that love God, to them who are the called according to his purpose. JOH 6:64 But there are some of you that believe not. For Jesus knew from the beginning who they were that believed not, and who should betray him. 65 And he said, Therefore said I unto you, that no man can come unto me, except it were given unto him of my Father. 10:26 But ye believe not, because ye are not of my sheep, as I said unto you. 8:47 He that is of God heareth God’s words: ye therefore hear them not, because ye are not of God. 1JO 2:19 They went out from us, but they were not of us; for if they had been of us, they would no doubt have continued with us: but they went out, that they might be made manifest that they were not all of us.
[17] MAT 11:25 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. 26 Even so, Father: for so it seemed good in thy sight. ROM 9:17 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. 18 Therefore hath he mercy on whom he will have mercy, and whom he will he hardeneth. 21 Hath not the potter power over the clay, of the same lump to make one vessel unto honour, and another unto dishonour? 22 What if God, willing to shew his wrath, and to make his power known, endured with much longsuffering the vessels of wrath fitted to destruction. 2TI 2:19 Nevertheless the foundation of God standeth sure, having this seal, The Lord knoweth them that are his. And, Let every one that nameth the name of Christ depart from iniquity. 20 But in a great house there are not only vessels of gold and of silver, but also of wood and of earth; and some to honour, and some to dishonour. JUD 4 For there are certain men crept in unawares, who were before of old ordained to this condemnation, ungodly men, turning the grace of our God into lasciviousness, and denying the only Lord God, and our Lord Jesus Christ. 1PE 2:8 And a stone of stumbling, and a rock of offence, even to them which stumble at the word, being disobedient: whereunto also they were appointed.
[18] ROM 9:20 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? 11:33 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! DEU 29:29 The secret things belong unto the Lord our God: but those things which are revealed belong unto us and to our children for ever, that we may do all the words of this law.
[19] 2PE 1:10 Wherefore the rather, brethren, give diligence to make your calling and election sure: for if ye do these things, ye shall never fall.
[20] EPH 1:6 To the praise of the glory of his grace, wherein he hath made us accepted in the beloved. ROM 11:33 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!
[21] ROM 11:5 Even so then at this present time also there is a remnant according to the election of grace. 6 And if by grace, then is it no more of works: otherwise grace is no more grace. But if it be of works, then is it no more grace: otherwise work is no more work. 20 For when ye were the servants of sin, ye were free from righteousness. 2PE 1:10 Wherefore the rather, brethren, give diligence to make your calling and election sure: for if ye do these things, ye shall never fall. ROM 8:33 Who shall lay any thing to the charge of God’s elect? It is God that justifieth. LUK 10:20 Notwithstanding in this rejoice not, that the spirits are subject unto you; but rather rejoice, because your names are written in heaven.