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This writer humbly submits that there is a telling inverse nexus between the claim of atheism and the practice of atheism.

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anonymousinverse nexus

inverse ~ opposite; reverse
nexus ~ link; intersection

anonymous

This writer humbly submits that there is a telling inverse nexus between the claim of atheism and the practice of atheism.

The writer says there is a revealing opposite link between the claim and the practice where atheism is concerned.

The excerpt doesn't say what the forward link is, so it's hard to understand what the opposite of it might be.

Additionally, I am not aware that atheism is a practice (in the way that religion is, for example), so I can't help you there. I don't know what the practice of atheism could be that distinguishes it from the claim.

CJ