The Double Election doctrine can be compared with the Arminianism articles of Remonstrance, and with the points of Calvinism (TULIP) using the acronym ELECT.
The five articles of remonstrance
1. God has decreed to save through Jesus Christ those of the fallen and sinful race who through the grace of the Holy Spirit believe in Him, but leaves in sin the incorrigible and unbelieving. (In other words predestination is said to be conditioned by God's foreknowledge of who would respond to the gospel)
2. Christ died for all men (not just for the elect), but no one except the believer has remission of sin.
3. Man can neither of himself nor of his free will do anything truly good until he is born again of God, in Christ, through the Holy Spirit. (Though accused of such, Arminius and his followers were not Pelagians.)
4. All good deeds or movements in the regenerate must be ascribed to the grace of God but his grace is not irresistible.
5. Those who are incorporated into Christ by a true faith have power given them through the assisting grace of the Holy Spirit to persevere in the faith. But it is possible for a believer to fall from grace.
The five points of Calvinism (TULIP)
1. That fallen man is totally unable to seek God, understand spiritual things, or trust fully in Christ. (Total Spiritual Inability)
2. That God's electing purpose was not conditioned by anything in man (Unconditional Election)
3. That Christ's atoning death was sufficient to save all men, but Christ died only for the elect (Limited Atonement)
4. That the gift of faith, given by God's Holy Spirit, cannot be resisted by the elect (Irresistible Grace)
5. That those who are regenerated and justified will persevere in the faith (Perseverance of the Saints)
The five points of Double Election (ELECT)
1. Elections - God chose His Redeemer individually (Christ) and all those Christ would redeem corporately before the foundation of the world, the elections before time; and then subsequently chooses believers individually during their lifetime based on crediting their wholehearted faith in Christ, the second election.
2. Love overcomes depravity - Mankind is depraved from conception, separated from God by being in a state of sin with a corrupt flesh and a corrupt human spirit. But God, who understands the heart, accepts the faith, as depraved as it may be, of those who love and trust in His Son.
3. Effective reconciliation - Christ’s propitiation is sufficient to save all men, but the available reconciliation is only received, when God credits our faith as righteousness and spiritually baptizes us into Christ, making us spiritually alive together with Christ.
4. Cultivated call - Turning to God and trusting in Christ occur when receptive people hear the gospel and believe. Thus faith in Christ is spread by an external call to those who receive the gospel wholeheartedly.
5. Trust in Faith - Only by persevering in faith can a believer be sure of salvation, because God protects the faith of His chosen ones.
CHAPTER 3; OF GOD’S DECREE
Paragraph 1. God hath decreed in himself, from all eternity, by the most wise and holy counsel of His own will, freely and unchangeably, all things, whatsoever comes to pass;
1 yet so as thereby is God neither the author of sin nor hath fellowship with any therein;
2 nor is violence offered to the will of the creature, nor yet is the liberty or contingency of second causes taken away, but rather established;
3 in which appears His wisdom in disposing all things, and power and faithfulness in accomplishing His decree.
4
1 Isa. 46:10; Eph. 1:11; Heb. 6:17; Rom. 9:15,18
2 James 1:13; 1 John 1:5
3 Acts 4:27,28; John 19:11
4 Num. 23:19; Eph. 1:3-5
Paragraph 2. Although God knoweth whatsoever may or can come to pass, upon all supposed conditions,
5 yet hath He not decreed anything, because He foresaw it as future, or as that which would come to pass upon such conditions.
6
5 Acts 15:18
6 Rom. 9:11,13,16,18
Paragraph 3.
By the decree of God, for the manifestation of His glory, some men and angels are predestinated, or foreordained to eternal life through Jesus Christ,7 to the praise of His glorious grace;8 others being left to act in their sin to their just condemnation, to the praise of His glorious justice.9
7 I Tim. 5:21; Matt. 25:34
8 Eph. 1:5,6
9 Rom. 9:22,23; Jude 4
Paragraph 4. 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.10
10 2 Tim. 2:19; John 13:18
Paragraph 5. Those of mankind that are predestinated to 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, hath chosen in Christ unto everlasting glory, out of His mere free grace and love,
11 without any other thing in the creature as a condition or cause moving Him thereunto.
12
11 Eph. 1:4, 9, 11; Rom. 8:30; 2 Tim. 1:9; I Thess. 5:9
12 Rom. 9:13,16; Eph. 2:5,12
Paragraph 6. As God hath appointed the elect unto glory, so He hath, by the eternal and most free purpose of His will, foreordained all the means thereunto;
13 wherefore they who are elected, being fallen in Adam, are redeemed by Christ,
14 are effectually called unto faith in Christ, by His Spirit working in due season, are justified, adopted, sanctified,
15 and kept by His power through faith unto salvation;
16 neither are any other redeemed by Christ, or effectually called, justified, adopted, sanctified, and saved, but the elect only.
17
13 1 Pet. 1:2; 2; Thess. 2:13
14 1 Thess. 5:9, 10
15 Rom. 8:30; 2 Thess. 2:13
16 1 Pet. 1:5
17 John 10:26, 17:9, 6:64
Paragraph 7. The doctrine of the high mystery of predestination is to be handled with special prudence and care, 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;
18 so shall this doctrine afford matter of praise,
19 reverence, and admiration of God, and of humility,
20 diligence, and abundant consolation to all that sincerely obey the gospel.
21
18 1 Thess. 1:4,5; 2 Pet. 1:10
19 Eph. 1:6; Rom. 11:33
20 Rom. 11:5,6,20
21 Luke 10:20
London 1689 Baptist Confession.