paralogize

[ puh-ral-uh-jahyz ]
/ pəˈræl əˌdʒaɪz /

verb (used without object), pa·ral·o·gized, pa·ral·o·giz·ing.

to draw conclusions that do not follow logically from a given set of assumptions.
Also especially British, pa·ral·o·gise.

Origin of paralogize

1590–1600; < Medieval Latin paralogizāre < Greek paralogízesthai to reason falsely, equivalent to parálog(os) (see para-1, logos) + -izesthai -ize