As stated before, most of the arguments that refute the existence of the Judeo-Christian god are available on the internet for those who are open to a logical discussion of the metaphysical concepts. And most hinge on the internal inconsistency of an omnipotent, omniscient/omnipresent and omnibenevilent supreme being existing in a word with evil (anything that causes suffering to a sentient being). Most of these arguments occurred between believers, ie Thomas Aquinas and (I forget who).
Even the early teleological arguments can be found, but seem awfully frail from a logical position. Although the opposite can also be said via the Argumentum ad Ignoratum, that lack of proof does not prove nonexistence.
Some early hindu thought that rejects a creator god and is therefore atheistic, but suggests the existence of the self persisting beyond the physical, ie soul, chakra etc. ,is where the logical discussion really breaks down. Because logical discussions regarding the impossibility of a phenomenon are requisite upon the ability to define the phenomenon. Through the massive amount of text that describes the God of each religious sect. and the intentional attempts within each sect to define there God, the deities of these definitions can be proven illogical. However, if there exists some extracorporal phenomenon that manifests itself though sentient being it remains undefined and thus cannot be logically proven to be impossible.
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