The word "illogical" means something that doesn't make sense or goes against common sense and reasoning. It refers to ideas, arguments, or actions that are flawed, inconsistent, or irrational. Full definition
The entire topic almost seems as illogical as the heated debate of common core standards (but that's an entirely different blog rant) When can I place my order for the scratch and sniff t - shirt for nasal learners? (blog.cathy-moore.com)
Sad to see that you persist in illogical arguments when your fallacies have been shown to you. (religion.blogs.cnn.com)
And to an investor focused on value investing in the late 1990s, there were plenty of illogical arguments to be found, whether it was a focus on eyeballs (webpage views) over profits, or any other metric that left one reminded of the story about a business losing money on every sale, but making it up on volume. (latticework.com)