Atheism is not a "type of religion" because it's not a type of theism and theisms are types of religions.
A belief in 'one god', (theism), such as a specific fundamental set of beliefs and practices generally agreed upon by a number of persons or sects as in the xtian religion is theistic. Therefore, the xtian religion is theistic. Since atheism means not theistic, it also means that it's not a religion.
The flaw in your argument is that, if "atheism" is a "belief system," then you should be able to point to the single belief system that is shared by all Objectivists, communists, liberals, conservatives, Buddhists, Raelians, anarchists, Religious Humanists, Secular Humanists, Jews, and libertarians who are atheists. What is that belief system? What are it's various premises, positions, doctrines, propositions, etc.?
What you have committed here, is a most obvious fallacy. Yes, all theism's are types of religions. Yes atheism is contrary to theism. This, though, does not mean that atheism is contrary to religion and that is what you seem to be having great difficulty understanding.
On the contrary, you've repeatedly demonstrated that you have no awareness of taking a mutually contradictory position, (e.g., an admission that "atheism is conrary to theism" = they're opposites and, since "theism's are types of religions" that atheism is nonetheless a type of religion).
You can't have it both ways by declaring that atheism is "contrary to theism" and "atheism is a religion", (theistic). Although you've claimed that not all religions are theistic, the parameters of the definition of "religion" include theistic beliefs, (which excludes atheism on that basis).
I haven't dodged your question, I simply found it meaningless due to it having an obvious answer. The common belief would be "there is no god".
That isn't a "common belief" since atheism is generally considered to be a _disbelief_, (not a belief), that there are 'god/s'. That is, you are attempting to impute a strawman argument that atheism initially asserts that "there is no god" when the accurate position is that atheism challenges the assertion made by religionists that 'there is a god' by requesting substantiating evidence to support that claim. Under the burden of proof process, one is not required to provide evidence that something does not exist, whereas a claim which asserts that something does exist must either be supported by evidence or, considered to be a specious claim/empty opinion.
Since you put so much authority and emphasis on dictionary definitions, let us explore some:
a·the·ism [ey-thee-iz-uhm]
noun
1. the doctrine or belief that there is no God.
2. disbelief in the existence of a supreme being or beings.
(source: http://dictionary.reference.com/browse/atheism)
Look at #2, "disbelief in the existence of a supreme being or beings", (a disbelief is not a belief by definition; they're opposites). Your focus upon #1 avoided "doctrine" and zeroed-in on "belief", (albeit, such was not specified as a 'religious belief' - which is a critical distinction you apparently want to avoid). So, sans your cherry-picking, it can be derived from that definition that atheism is a doctrinal position that "there is no god", (as an implicit position, rather than a stated assertion), and that this doctrine or "belief" isn't itself a 'relgiously theistic' one, (nor does it meet the basic requirements to be considered a religion).
"re·li·gion [ri-lij-uhn]
noun
1. a set of beliefs concerning the cause, nature, and purpose of the universe, especially when considered as the creation of a superhuman agency or agencies, usually involving devotional and ritual observances, and often containing a moral code governing the conduct of human affairs."
So, an astrophysics theory "concerning the cause, nature and purpose of the universe" would be classified as a "religion"? Hardly, this is why the second part of that definition must be included to refine the definition, ("especially when considered as the creation of a superhuman agency or agencies, usually involving devotional and ritual observances, and often containing a moral code governing the conduct of human affairs"). Under those parameters, atheism definitely doe Not qualify as a religion. If you're going to pick cherries, you aren't going to end up with an apple pie.
"2. a specific fundamental set of beliefs and practices generally agreed upon by a number of persons or sects: the Christian religion; the Buddhist religion."
You'll note that a _disbelief_, (atheism), is not listed as a religion there.
"3. the body of persons adhering to a particular set of beliefs and practices: a world council of religions."
Once again, religion is mentioned in the example, (not atheism).
"4. the life or state of a monk, nun, etc.: to enter religion.
5. the practice of religious beliefs; ritual observance of faith."
-(source: http://dictionary.reference.com/browse/religion)
Since neither the "life or state" of an atheist, (being non-religious), is "to enter a religion", nor falls under #5, atheism cannot be defined as a religion.
Okay so here we see that atheism is a belief taking a position on a god or gods.
Taking a position on religious beliefs is not itself equivalent to a religious belief.
I didn't dodge anything as your question is much like asking what is a Christians religious premises and doctrines. A person's religion is simply the collective of their beliefs on a god/gods or the supernatural.
I call foul; once again, taking a non-religious position does not qualify as a religion in and of itself. A disbelief in the religious beliefs of others does not qualify as a religion therefore, atheism is not a religion.
For the atheist it is simply based on one thing, and that is the non-existence of a god or the supernatural.
Your continued focus upon trying to falsely characterize a _disbelief_ as a belief indicates that you are at least peripherally-aware that demonstrating this as a false premise refutes the argument derived from that false premise. Predictably, an insistance that the premise isn't false,
(by continuing to assert the refuted syllogism that a disbelief is a belief and, that it hasn't been refuted), is illogical.
When one definition of the same word contradicts another, (attempting to posit that atheism is both not a religion and is a religion at the same time), one must also look at the definition of "religion" where we find that atheism lacks the defining aspects of a religion.
The definitions are not contradicting, it is you that posits it is not a religion solely due to your misunderstanding what religion is.
Your assumption is invalid since I do understand what a religion is and am not the one trying to conflate a non-religious position, (atheism), with other religious beliefs. Although a case could be made for your failure to understand what a religion is, based upon your conflation attempts.
I have clearly shown that atheism does have the aspects of religion and this is irrefutable by your own arguments.
False; logical arguments refuting your claim "that atheism does have the aspects of religion" have been presented to counter your illogical, (sophist), claim to the contrary. You have not demonstrated that atheism is a religion, you've demonstrated your opinion that "taking a position on religion" somehow equates to such a position constituting a religion itself. This is much like taking a position concerning the safe operation of aircraft, which may counter a pilot's, somehow, (irrationally), being conflated with the holder of that counter-position being a pilot.
Atheism cannot be both a religion and not a religion at the same time as these are mutually-contradictory positions.
Correct, and thus it is a religion.
That conclusion does not follow simply because atheism does not constitute religious beliefs. The accurate conclusion which follows the premise that atheism cannot be both a religion and not a religion is that atheism is not a religion, (according to the defining parameters which you quoted from a dictionary source).
The only way you can simply 'not have a belief' on a subject, is if you have no awareness and consideration of the subject.
No, atheism includes a reactive disbelief in the religious belief-claims made by religious adherents. In order to disbelieve such, it is necessary to be aware of the religious belief-claims made and the "consideration" is that the burden of proof rests with the religious adherents making such claims, (not with those who are challenging the standing claims of religious adherents).
I have the exact same claims to support my evidence as you have (same dictionary and same definition for the same term), and I have other sources too such as additional dictionaries ...
None of which supported your contention and do not constitute evidence supporting your contention. You've previously accused me of "cherry-picking" definition terms and yet, you've adopted that as a tactic in trying to support your refuted premise. I know it's a bummer when your premise gets refuted, (whether or not you deny this is immaterial and a bit immature). Believe it or not, that's occasionally happened to me however, not in this instance.
Once again, when two definitions of the same word contradict one another, (in this instance, your insistance that atheism is both a religion and not a religion), there's a logical inconsistancy present. Since I dispute your classification of atheism as a religion, (on the grounds that not theism means not a religious belief), it is your position which is logically inconsistant and therefore, refuted.
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Where have I insisted that atheism is not a religion?
I didn't state that you asserted that it was not a religion; that's my position. The two opposing positions rely upon opposite premises deriving from the same definition parameters, (sans cherry-picking). You've repeatedly demonstrated that you have no awareness of taking a mutually contradictory position, (e.g., an admission that "atheism is conrary to theism" = they're opposites and, since "theism's are types of religions" that atheism is nonetheless a type of religion).
You can't have it both ways by declaring that atheism is "contrary to theism" and "atheism is a religion", (theistic). Although you've claimed that not all religions are theistic, the parameters of the definition of "religion" include theistic beliefs, (which excludes atheism on that basis).