Did Jesus Die on The Cross for The Just/Elect/Saved Whose Names Are Written in The Book of Life OR

No. Faith is a gift from God.

Funny and TMI. So much for parts is parts.

That's my spiritual gift.

How does one believe before they understand? That's the whole point in sending preachers...Romans 10:14-15.

down the toilet

You both have made my day a little brighter!

Because God gives them faith. Do you really think that everyone who has heard the gospel has believed it?

Romans 10:13-15

Exactly right! Faithfulness is the other side of the Faith coin. Faith is the one time act of believing internally in the heart Gospel truth; whereas Faithfulness is the external, practical, ongoing expression of that one time act of inner, invisible faith. Faith is the seed; Faithfulness is the Fruit. And both REQUIRE supernatural work of God.

No. I think manifold more did not. But look at the order of events:
The Spirit comes in power.
Peter preaches.
The Spirit works upon 3,000 inwardly.
3,000 respond in faith.

At what point in the story was understanding given?

The Holy Spirit intercedes for us when we seek His face:

I have more understanding than all my teachers: for thy testimonies are my meditation. I understand more than the ancients, because I keep thy precepts. I have refrained my feet from every evil way, that I might keep thy word. I have not departed from thy judgments: for thou hast taught me. How sweet are thy words unto my taste! yea, sweeter than honey to my mouth! Through thy precepts I get understanding: therefore I hate every false way. NUN. Thy word is a lamp unto my feet, and a light unto my path. I have sworn, and I will perform it, that I will keep thy righteous judgments. I am afflicted very much: quicken me, O LORD, according unto thy word. Accept, I beseech thee, the freewill offerings of my mouth, O LORD, and teach me thy judgments.

- Psalm 119:99-108 (KJV)

It's because they're spiritually dead! The spiritually dead have no more spiritual ability than the physically dead have physical ability.

That's great for saved people. But the natural man doesn't seek after God...Romans 3:11. What about them?

What about if they hear the Gospel for the very first time? What do you mean by “the natural man”? Listen to Paul here:
In whom ye also trusted, after that ye heard the word of truth, the gospel of your salvation: in whom also after that ye believed, ye were sealed with that holy Spirit of promise, Which is the earnest of our inheritance until the redemption of the purchased possession, unto the praise of his glory. The eyes of your understanding being enlightened; that ye may know what is the hope of his calling, and what the riches of the glory of his inheritance in the saints,

- Ephesians 1:13-14,18 (KJV)

Ephesians 1:13-14

Great verses. Thanks for sharing. The key phase is...after they heard...Hearing followed the gospel but precedes salvation. An act of God preceded their belief.
Now look at Acts 2:37...when they heard this. The gospel had been preached and they heard. They were also pricked in their hearts. Both of these are works of the Spirit done inwardly. It wasn't their consciences like in Romans 1 that were pricked. What does that mean? To me it means their hearts were circumcised and a heart of stone removed that cannot be pricked and replaced by a heart of flesh that responds to the Spirit is formed. I believe this is what circumcision always, in part, had in view.

The confusion that will now ensue is what the sealing of the Spirit is. That is, is it speaking of an act that places us into the body of Christ or a confirmation and sealing this reality to us. I would posit that it is the latter and would be glad to share the reasons why.

5 because our gospel came to you not only in word, but also in power and in the Holy Spirit and with full conviction
What do you think conviction and the process by the Holy Ghost is?

You cannot disobey the Gospel of Christ like verse 8 explains until you understand what the Gospel of Christ is.
8 in flaming fire, inflicting vengeance on those who do not know God and on those who do not obey the gospel of our Lord Jesus.

I love some of the things about Calvin and know more about him and his doctrine than Arminianism. I don't even know the Arminian doctrine. Never studied it. Would not recognize it if someone told me it.

John Calvin spoke in tongues and documented it in his journals on multiple occasions. That is AWESOME!

I see many people who do not understand the Gospel of Jesus Christ disobey the Gospel of Jesus Christ.