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Faith and works are two sides of the same coin. Here I will give the First-Order Logical proof of that.
Let proposition F = you have faith in his heart.
W = you exhibit (faithful) deeds.
James 2:
¬W → ¬F
⇒ F → W
Now let's look at the converse.
Works show faith. But what kinds of works?
Galatians 2:
Works of the law (works according to the letters of the law, i.e., works without faith) are not good enough. Only faithful works or deeds will do.
Matthew 5:
My good faithful works show my faith.
W → F
Altogether, it is saying F ⟷ W.
F ≡ W. James 2:
What about saving by faith alone as expressed by Paul?
Ephesians 2:
We are saved by grace through faith for good works.
ESV 1 Timothy 4:
Titus 3:
Philippians 2:
Right. Works apart from faith (i.e., faithless works) are useless in saving you. However, after you have been saved by faith, you will naturally show faithful deeds because F ⇔ W according to James 2 and Galatians 2.
Basically, faith and faithful works are logically the same things. You can't have one without the other. Your invisible vertical faith will produce observable horizontal works.
See also JUSTIFICATION by works, grace, or faith?.
Let proposition F = you have faith in his heart.
W = you exhibit (faithful) deeds.
James 2:
17 So also faith by itself, if it does not have works, is dead.
¬W → ¬F
⇒ F → W
Now let's look at the converse.
18 But someone will say, “You have faith and I have works.” Show me your faith apart from your works, and I will show you my faith by my works.
Works show faith. But what kinds of works?
Galatians 2:
16 know that a man is not justified by works of the law but by faith in Jesus Christ.
Works of the law (works according to the letters of the law, i.e., works without faith) are not good enough. Only faithful works or deeds will do.
Matthew 5:
16 In the same way, let your light shine before others, that they may see your good deeds and glorify your Father in heaven.
My good faithful works show my faith.
W → F
Altogether, it is saying F ⟷ W.
F ≡ W. James 2:
24 You see that a person is justified by works and not by faith alone.
What about saving by faith alone as expressed by Paul?
Ephesians 2:
8 For by grace you have been saved through faith. And this is not your own doing; it is the gift of God, 9 not a result of [faithless] works, so that no one may boast. 10 For we are his workmanship, created in Christ Jesus for good works, which God prepared beforehand, that we should walk in them.
We are saved by grace through faith for good works.
ESV 1 Timothy 4:
16 Keep a close watch on yourself and on the teaching. Persist in this, for by so doing you will save both yourself and your hearers.
Titus 3:
5 he saved us, not because of works done by us in righteousness, but according to his own mercy, by the washing of regeneration and renewal of the Holy Spirit
Philippians 2:
12b work out your own salvation with fear and trembling, 13 for it is God who works in you, both to will and to work for his good pleasure.
Right. Works apart from faith (i.e., faithless works) are useless in saving you. However, after you have been saved by faith, you will naturally show faithful deeds because F ⇔ W according to James 2 and Galatians 2.
Basically, faith and faithful works are logically the same things. You can't have one without the other. Your invisible vertical faith will produce observable horizontal works.
See also JUSTIFICATION by works, grace, or faith?.
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