What is the difference between Arminianism and Lutheranism

Eugene, isn't what you write usual Arminian doctrine? Arminians do not deny that God's grace is necessary for salvation. The difference to the Calvinists is that they believe that God's drawing can often be unsuccessful because of human free will.

@Mephi:

But I am not familiar with this discussion or division in the communities with which we have contact.

I don't know about you, but my impression is that most churches are just Arminian by default and don't know anything else. This means that there is no need for a discussion or naming of the positions.

Is it the new hot topic of the Bible Faithful?

I would be happy, but it is not noticeable in my area.

The repeated division of siblings into these two groups seems to me to be a bit of an effort. Is it even possible to separate the two groups so precisely?

No, you can't. From what I have heard so far, the following system is not entirely unusual and it seems to me to be quite complete. If you like it, let's start a council and decide that for all churches;)

I.1There are 5 Arminian and 5 Calvinist points, each opposing each other.

I.1.1The 5 Arminian Points

a) Conditional election
The election of God is based on the foresight of faith in man.

b) Universal Atonement
Christ died equally for all people.

c) Freedom of will
Man cannot save himself, but voluntarily cooperate with God's leading grace if he wants.

d) Resistive grace
Man can resist God's grace necessary for salvation according to his will.

e) Losability of salvation
Every believer is able to lose his salvation again.

I.1.2The 5 points of Calvinism

a) Complete corruption of man
Man cannot contribute absolutely anything to his salvation by himself because he is dead in sin.

b) Unconditional election
Before the foundation of the world, God chose people for salvation without their having met any condition.

c) Effective (often "limited") atonement
The atonement of Jesus ensured the salvation of all elect.

d) Perseverance of the saints
The elect will remain in faith in the gospel until the end of their lives and will not be lost.

I.2If someone represents at least three points in a category including the corresponding point about the (in) freedom of the human will, then he is to be assigned to this category with the designation X-point Arminian / Calvinist.

I.3.1Arminians (i.e. at least 3 points of Arminianism including free will):

a) exactly 3 points
I haven't heard from anyone who believes only 3 Arminian points. Conditional election presupposes free will, which in turn leads to resistive grace. Now someone could theoretically postulate that Jesus died for all who he knew would choose him. I know someone who has come quite close to this position, that's the only reason I'm listing it. I would call someone like that a 3-point Arminian. That would be the only way to believe 3 Arminian points. There is no other combination, I claim (apart from possibly the Lutheran position, which is listed separately below.) If you know of other combinations that are actually represented, please correct me. This makes you a 3-point Arminian.

b) 4 points
In addition to the three points mentioned, there is the Universal Atonement. There are many who believe these 4 points but believe in the inalienability of salvation. This is the only combination of the 4 Arminian points known to me that is actually represented. That would have clearly defined the 4-point Arminian.

c) 5 points
Self-explanatory. A true Arminian.

I.3.2Calvinists
a) exactly 3 points. There are supposed to be people who believe in total corruption, unconditional election and security of salvation, but reject effective atonement and irresistible grace. Such are certainly very few. I am not aware of any other combination. This defines the 3-point Calvinist.

b) 4 points:
Here, too, I am only aware of a combination of 4 points. The only point that is not believed is effective atonement. That would be the 4-point Calvinism or Amyraldism (named after Moyse Amyraut)

c) 5 points:
Self-explanatory. A true Calvinist.

There are a few orientations that don't fit here that well:

II.1Lutheran
Lutherans get their own category. I'm not 100% sure, but as I understand you believe in three Arminian points. However, because they hold on to unfree will, they are not Arminians according to I.2.

II.2Pelagians
This group is only shown here for the sake of completeness, because each of the other groups considers this group to be unchristian. Pelagians deny the doctrine of original sin and believe that man can redeem himself.

II.3Hyper Calvinists or Extreme Calvinists
I mention this group because the term is often thrown into discussions, mostly to put the 5-point Calvinist in a particularly dangerous corner. However, this use is misleading. Rather, hyper-Calvinists are people who believe that belief in all 5 Calvinist points is necessary for salvation and / or that one does not need to evangelize and / or pray because of God's election. In my opinion, this group cannot actually be called Christian or Calvinist.

Remarks:
The question of the double predestination does not play a role in this classification.

Do you know positions that do not fit into this grid? Can any of you not classify? I would be interested.

Many do not particularly like this division into groups. This is probably due to the fact that the respective groups are often wrongly defined and straw men are often set up in discussions, or it is because one names oneself after historical people. You really have to be careful not to run after individuals, but unfortunately we don't have any better technical terms. After so many centuries of discussion on the subject, the likelihood of defining new terms is also quite unlikely.
Aside from the last two groups, there are certainly true Christians in all positions. For a discussion of this topic, I consider a clear definition of the term to be an advantage. It's easier to say "XY is a Calvinist" instead of "XY believes in 1 ..., 2 ..., 3 ..., 4 ..., 5 ..."
If someone asked me if I was a Calvinist, I would first ask what they mean by that.

Are Calvinists More Accurate, Serious Bible Readers and Interpreters?

I don't think so, because there are supposed to be Calvinists who don't believe in the pre-rapture. That would be refuted. It has to be a little fun