Atheism as a non-belief in something never shown to exist is intangible in itself — Bob Ross
This is a critique of theism, not atheism. Atheism is the lack of belief in God/gods. If you think that God/gods have never been shown to exist, then you would be an atheist (unless you choose to believe with, self admittedly, 0 evidence). Atheism cannot be tangible in a literal sense by definition, just like not-stamp collecting is just as real as the number zero: neither are tangible yet are very real.
Theism is a belief in gods that so far have never been shown to exist. Atheism's (claim) is a non-belief in gods so far never shown to exist. Atheism in actuality is opposed to something never shown to exist.
Atheism is if anything a product of the Bible, a rejection of religion.
The Bible is not holistically religion. Atheism is the rejection of theism (or, more generically, yes, religion): not just merely Christianity.
Atheist's, 'as non-believers in gods', should have nothing whatever to say about religion, specifically the religions of the Bible, and can't specifically reject any religion or any god.
Theism offers an explanation for our existence, atheism offers no explanations of its own, a weaker position.
It is not a weaker position because it doesn't positively assert anything (it is a doctrine of negations). Is it a weaker position to not-stamp collect, or be an avid stamp collector? Neither. Atheism is not meant to provide anything beyond simply lacking a belief in God/gods. This doesn't mean in the slightest that someone should be a theist because "atheism is a weaker position", nor does it have anything to do with naturalism
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Theism asserts God created the universe, whereas atheism "doesn't positively assert anything".
No, it's not a weaker position to not collect stamps. But an a-stampist would be a weak position.
Naturalism is the counter-position to theism
No it is not. Traditional physicalism or materialism would be an appropriate counter argument. Naturalism is a philosophical theory that rejects supernaturalism, while not necessarily negating metaphysics. Naturalism is not the claim that all there is is definitely the material world, it is the theory that all natural events must be explained by natural laws, logic, reason, etc.
Naturalism, as the term suggests is a belief in Nature, a naturally occurring universe.
atheism occupying a non-existent middle ground
You either believe something, or you don't (principle of noncontradiction). Therefore, each person either believes in God/gods, or doesn't. Theism is the belief in such, atheism is the negation. These are, in terms of beliefs, the only two options.
There are believers, non-believers & there are atheists. Atheists 'attempt' to negate theism. Non-believers are those when asked do they believe, reply 'no'. We know who atheists are because they are active in their attacks on theism.
If atheism were valid, atheists would not be able to open their mouths.
Atheism is opening your mouth and claiming you don't believe, that is it. Other philosophical theories have to invoked to claim further. If I'm not a stamp collector, that is all I am going to be able to say about the matter, but that has nothing to do with other, completely unrelated, positions I may voice
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If atheism were valid it would accept that it has nothing to say about something it doesn't believe exists.
Atheism is in being a-theistic making them a-theists.
What exactly did you prove here? Atheist is the term for those who subscribe to atheism. I'm not following the logic here.
Atheists are actively opposed to theism. They are 'a-theistic'. They are a-theists.
The invalidity of atheism does not validate theism, as naturalism may still be right, but atheism needs to be invalid for theism to be right.
It is not "theism" vs "naturalism". You can be an atheist and subscribe to metaphysical truths (you can also not be a naturalist and be an atheist). Likewise, naturalism is a philosophical theory pertaining to epistemic claims, theism is pertains strictly to belief. Not all theists claim to "know" God exists. Lots do, but some don't (some are agnostic theists). Some prefer, contrary to a 2 dimensional labeling system, a 1 dimensional representation: atheism - agnosticism - theism. However you fancy, none of it implies naturalism.
Theism and naturalism are counter positions philosophically, not opposed socially, culturally or politically.
Anyhow, why should we listen to those who reject a God (a relatively simple addon) but then continue to believe in mermaids, unicorns etc.
Atheism does not necessitate that one should believe in mermaids. I honestly haven't met a single atheist that does, nor does it pertain to atheism in any way imaginable: that would be a separate assertion.
If when looking into your container of 'non-beliefs' you select one, then all of those other things in there become real. Atheism for example says nothing about non-belief in mermaids. A theist believes in a god, but that doesn't stop him believing in many other things. His belief in god does not stop you believing in other things.
Atheism is a rejection of free-speech (primarily another element of the Left).
Not at all. Again, atheism is the negation of theism. Theism is the belief in God. Gnosticism (not in the sense of the gnostics) is the claim of knowledge (epistemically) either way, agnosticism the negation thereof. This has nothing to do with "Left" (I would presume you are referring to politics) nor free-speech.
There are many explanations for atheism, some weak, some strong. But the advent of 'red-shift' (social) is the strongest. The Left after censoring no less a person than a US President has no problem shutting down theists.
The real catch is that by entering into a (any) debate, you by default put your opponents on an equal footing as yourself, allowing as you need (and do ask) them to prove what they are claiming. For atheists to not accept this is to have them standing on ground arrogance has mislead them into believing exists.