"logical absurdity" refers to something that doesn't make sense or is impossible to believe based on logic and reason. It's when a situation or statement contradicts itself or goes against what is considered rational. Full definition
If we had perfect command of our ideas we should see logical absurdity in any description that is really impossible» (RP 594). (religion-online.org)
You said, «Then say THAT and don't waste everyone's time with logical absurdities.» (religion.blogs.cnn.com)
When propagating a religion where proof is not available, one that contains logical absurdities, it is essential that the logical processes of the mind be short - circuited. (religion.blogs.cnn.com)