non-ˈlogical,a. [non- 3.] Not logical; spec. in Logic= material a. 2. 1845Whately Logic in Encycl.Metrop. I. 225/1 The Non-logical (or material) Fallacies.1899Westm.Gaz. 31 Aug. 3/3 There are many non-logical arguments..which may..be made to do a lot of good.