if the strong atheistic position would be proven illogical, then the weak atheism is illogical too.
Nope. So-called strong atheism is a subset of what you call weak atheism. You've got it turned around. If weak atheism were disproven, it would take the subset strong atheism with it, but not the other way around. What is true of the set is true of the subset, but not the other way around.
All men are mortal
Socrates is a man
Therefore Socrates is mortal
Picture a large circle representing mortals, a smaller circle within it representing all men, and a smaller circle within that one representing Socrates. All men is a subset of mortals, and Socrates is a subset of both. What is true of mortals is true of all men, but not the other way around. Some things that are true about man are not true about other mortals, such as the fact that man is a mammal, and some mortals are birds.
Somebody mentioned studying logic in this thread. This is an excellent venue for that. Here it is possible for those interested to practice identifying and naming fallacies. Somebody already called your comment a non sequitur, which true of all conclusions of fallacious arguments whatever the fallacy, since the conclusion doesn't follow from what preceded it. I'm having difficulty giving your fallacy, assuming that what is true for every element of the subset applies to all elements of the set, its more specific name.
When an atheist says: "I am atheist because there is no proof that God exists", he says a lie.
Correct?
What the logically rigorous atheist says is that he is not convinced that a god exists, so he doesn't believe one exists. We don't require proof to believe, just compelling evidence. I see no evidence that is only explained or better explained by positing a god, which is what evidence for a god would have to be. Some people point to the universe, its beauty and complexity, and conclude that this can only be explained by a god. But that is not correct. There are naturalistic theories and hypotheses that might be correct instead, and nothing about nature requires an intelligent designer.
Do you recall the intelligent design people looking for irreducible complexity in biological systems, the argument being that there was no naturalistic pathway t the evolution of these irreducibly complex entities. Had they found it, THAT would be evidence that would be best explained by positing an intelligent designer, and undermine the theory of evolution. But they didn't, and the naturalistic explanation is still viable. That doesn't mean that an intelligent designer has been ruled out, just that one doesn't appear to be necessary. There is still no observation that requires a god to account for it, or is better explained with a god, and thus no evidence that points to a god.
If you don't give God nor his Messengers nor any of their believers a chance to guide you and prove God, then blame yourself
Give God a chance to prove He exists? How could anyone stop Him if he exists and wants to be known?
As for messengers, they're also given the chance to demonstrate what they can, such as you and the poster that started this thread. At least a dozen people on this thread have been willing and able to consider any evidence that either of you present to support your god beliefs. That's the chance you have to convince others that you are correct, but you'll have to do it using valid reason applied to evidence. Nothing else convinces the critical thinker.
If Theists have the burden to present proofs, then Atheists have the burden to listen to those proofs attentively.
Not forever. Eventually, one realizes that nobody has ever provided good evidence or a good argument for a god, and that none is likely coming. Open-mindedness requires the impartial consideration of evidence and argument, but as I alluded, there is no obligation to give time to everybody who wants it. You need to present something different up front to deserve that attention. Flawed syllogisms and unsupported claims are non-starters.
Here's a tip to all religious apologists speaking to unbelievers: Make arguments that don't assume and depend on the existence of a god. You're not talking to your audience, because they stopped listening as soon as you began giving your personal religious beliefs as facts.
Atheists tend to be stubborn, no matter how clear the signs and proof is, they will deny.
The rational skeptic uses a different method of deciding what's true about the world than the faith-based thinker. Yes, they are stubborn about insisting that you use reason applied to relevant evidence properly interpreted. Nothing else has a chance of convincing the skeptic.
Why does he insist on using this method to build his worldview, his mental map of the reality around him, and reject unsupported claims? Because he doesn't want there to be any wrong ideas in that map, or to use a literal map, he wants the features of the map to correspond 1:1 to the features of what is being mapped. He doesn't want a god on his map if there isn't one outside of his head. And there is no better way to accept wrong ideas than by faith, by which I mean to believe them without sufficient evidentiary support. Faith allows one to accept wrong ideas as readily as correct ones, and since there are more wrong ideas than correct ones, your odds of acquiring a false belief using faith are high.
So this is a good thing to be stubborn about. And of course, it frustrates the faith-based thinker. He knows that he can't get his ideas into the skeptics head just by asserting them, and criticizes the critical thinker for having a too-high standard for belief. It's the same standard that converted astrology and alchemy to astronomy and chemistry - weed out the faith-based assumptions about stars and transmutations, look at that is actually out there and identify the regular patterns. Only then do you have ideas that can actually be put to use. The faith-based systems of thought are sterile. There's a lesson there.
Same reason creationism is sterile, and can be used for nothing, whereas the scientific approach to life on earth unifies mountains of data from a multitude of sources, accurately makes predictions about what can and cannot be found in nature, provides a rational mechanism for evolution consistent with the known actions of nature, accounts for both the commonality of all life as well as biodiversity, and has had practical applications that have improved the human condition in areas like medicine and agriculture. This is what happens when one converts from faith-based thinking to critical thought, and why the critical thinker simply won't accept the unsupported claims of religious apologists
And you being unconvinced doesn't do away with it being a proof.
One can't legitimately claim to have proved anything if nobody's mind was changed. It can't be called proof if it doesn't do that. I liken it to the comedian who tells us that he was very funny, but nobody laughed.