"Nonsensical claims" refers to statements or assertions that are illogical, ridiculous, or lacking any basis in reality. These claims do not make sense and are often seen as absurd or unbelievable. Full definition
They no more speak for the country, or the majority, than any other political party, especially given that a lot of their «support» is merely people frightened by prospects of a Labour / SNP Government, and other nonsensical claims of what Labour might do in power! (compassonline.org.uk)
You haven't answered a simple, direct question but instead make nonsensical claims about arguments you imagine me to be making. (planet3.org)
More to the point, it is an utterly nonsensical claim — so nonsensical, in fact, that it is doubtful that those who make it can truly be considered atheists in any coherent sense. (firstthings.com)